Denys Dutykh

Professional Applied Mathematician, Modeller, and Advisor

Research Expertise

Applied mathematics
fluid mechanics
scientific computing
numerical methods
Fluid Flow and Transfer Processes
Condensed Matter Physics
Computational Mechanics
Mathematical Physics
Computer Science Applications
Computational Mathematics
Numerical Analysis
Modeling and Simulation
Statistical and Nonlinear Physics
Mechanics of Materials
Computational Theory and Mathematics
Software
Theoretical Computer Science
Mechanical Engineering
Architecture
Building and Construction
Geophysics
Discrete Mathematics and Combinatorics
Geotechnical Engineering and Engineering Geology
Oceanography
Atmospheric Science
Geography, Planning and Development
Environmental Engineering
Civil and Structural Engineering
Electrical and Electronic Engineering
Ocean Engineering
Control and Systems Engineering
Aerospace Engineering
Water Science and Technology
Nuclear Energy and Engineering
Analysis
Statistics and Probability
Catalysis
Automotive Engineering
Industrial and Manufacturing Engineering
Bioengineering
Computer Vision and Pattern Recognition
Information Systems
Artificial Intelligence
Algebra and Number Theory
Renewable Energy, Sustainability and the Environment
Management, Monitoring, Policy and Law
Aquatic Science
Biochemistry
Hardware and Architecture
Energy Engineering and Power Technology
Computer Networks and Communications

About

Dr. Denys Dutykh initially comes from the broad field of Applied Mathematics. He did his Master's degree in numerical methods applied to the problems of Continuum Mechanics and a Ph.D. thesis at Ecole Normale Supérieure de Cachan (France) on the mathematical modeling of tsunami waves. After this, he was hired as a permanent research scientist at the Institute of Mathematics (INSMI) at the Centre National de la Recherche Scientifique (CNRS). His research activities have been conducted in the following years at the picturesque University Savoie Mont Blanc (USMB, France) in the field of mathematical methods applied to the modeling and simulation of nonlinear waves (mostly in Fluid Dynamics). The Habilitation thesis of Dr. Dutykh was defended there on the topic of the mathematical methods in the environment. Since then, his research interests have significantly broadened to include the Dimensionality Reduction methods in Machine Learning, modeling of PV panels, and even some more theoretical questions in the Number Theory.

Publications

Comparison between three-dimensional linear and nonlinear tsunami generation models

Theoretical and Computational Fluid Dynamics / Apr 13, 2007

Kervella, Y., Dutykh, D., & Dias, F. (2007). Comparison between three-dimensional linear and nonlinear tsunami generation models. Theoretical and Computational Fluid Dynamics, 21(4), 245–269. https://doi.org/10.1007/s00162-007-0047-0

The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation

European Journal of Mechanics - B/Fluids / Nov 01, 2011

Dutykh, D., Poncet, R., & Dias, F. (2011). The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation. European Journal of Mechanics - B/Fluids, 30(6), 598–615. https://doi.org/10.1016/j.euromechflu.2011.05.005

Finite volume schemes for dispersive wave propagation and runup

Journal of Computational Physics / Apr 01, 2011

Dutykh, D., Katsaounis, T., & Mitsotakis, D. (2011). Finite volume schemes for dispersive wave propagation and runup. Journal of Computational Physics, 230(8), 3035–3061. https://doi.org/10.1016/j.jcp.2011.01.003

Water waves generated by a moving bottom

Tsunami and Nonlinear Waves

Dutykh, D., & Dias, F. (n.d.). Water waves generated by a moving bottom. In Tsunami and Nonlinear Waves (pp. 65–95). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-71256-5_4

The Whitham Equation as a model for surface water waves

Physica D: Nonlinear Phenomena / Aug 01, 2015

Moldabayev, D., Kalisch, H., & Dutykh, D. (2015). The Whitham Equation as a model for surface water waves. Physica D: Nonlinear Phenomena, 309, 99–107. https://doi.org/10.1016/j.physd.2015.07.010

Viscous potential free-surface flows in a fluid layer of finite depth

Comptes Rendus. Mathématique / Jul 13, 2007

Dutykh, D., & Dias, F. (2007). Viscous potential free-surface flows in a fluid layer of finite depth. Comptes Rendus. Mathématique, 345(2), 113–118. https://doi.org/10.1016/j.crma.2007.06.007

Linear theory of wave generation by a moving bottom

Comptes Rendus. Mathématique / Oct 01, 2006

Dutykh, D., Dias, F., & Kervella, Y. (2006). Linear theory of wave generation by a moving bottom. Comptes Rendus. Mathématique, 343(7), 499–504. https://doi.org/10.1016/j.crma.2006.09.016

Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations

European Journal of Applied Mathematics / May 24, 2013

DUTYKH, D., CLAMOND, D., MILEWSKI, P., & MITSOTAKIS, D. (2013). Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations. European Journal of Applied Mathematics, 24(5), 761–787. https://doi.org/10.1017/s0956792513000168

Dissipative Boussinesq equations

Comptes Rendus. Mécanique / Sep 01, 2007

Dutykh, D., & Dias, F. (2007). Dissipative Boussinesq equations. Comptes Rendus. Mécanique, 335(9–10), 559–583. https://doi.org/10.1016/j.crme.2007.08.003

Energy of tsunami waves generated by bottom motion

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences / Nov 18, 2008

Dutykh, D., & Dias, F. (2008). Energy of tsunami waves generated by bottom motion. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2103), 725–744. https://doi.org/10.1098/rspa.2008.0332

Numerical simulation of a solitonic gas in KdV and KdV–BBM equations

Physics Letters A / Aug 01, 2014

Dutykh, D., & Pelinovsky, E. (2014). Numerical simulation of a solitonic gas in KdV and KdV–BBM equations. Physics Letters A, 378(42), 3102–3110. https://doi.org/10.1016/j.physleta.2014.09.008

Efficient computation of steady solitary gravity waves

Wave Motion / Jan 01, 2014

Dutykh, D., & Clamond, D. (2014). Efficient computation of steady solitary gravity waves. Wave Motion, 51(1), 86–99. https://doi.org/10.1016/j.wavemoti.2013.06.007

On the Galerkin/Finite-Element Method for the Serre Equations

Journal of Scientific Computing / Feb 05, 2014

Mitsotakis, D., Ilan, B., & Dutykh, D. (2014). On the Galerkin/Finite-Element Method for the Serre Equations. Journal of Scientific Computing, 61(1), 166–195. https://doi.org/10.1007/s10915-014-9823-3

Conservative modified Serre–Green–Naghdi equations with improved dispersion characteristics

Communications in Nonlinear Science and Numerical Simulation / Apr 01, 2017

Clamond, D., Dutykh, D., & Mitsotakis, D. (2017). Conservative modified Serre–Green–Naghdi equations with improved dispersion characteristics. Communications in Nonlinear Science and Numerical Simulation, 45, 245–257. https://doi.org/10.1016/j.cnsns.2016.10.009

Visco-potential free-surface flows and long wave modelling

European Journal of Mechanics - B/Fluids / May 01, 2009

Dutykh, D. (2009). Visco-potential free-surface flows and long wave modelling. European Journal of Mechanics - B/Fluids, 28(3), 430–443. https://doi.org/10.1016/j.euromechflu.2008.11.003

Practical use of variational principles for modeling water waves

Physica D: Nonlinear Phenomena / Jan 01, 2012

Clamond, D., & Dutykh, D. (2012). Practical use of variational principles for modeling water waves. Physica D: Nonlinear Phenomena, 241(1), 25–36. https://doi.org/10.1016/j.physd.2011.09.015

Finite volume methods for unidirectional dispersive wave models

International Journal for Numerical Methods in Fluids / May 21, 2012

Dutykh, D., Katsaounis, Th., & Mitsotakis, D. (2012). Finite volume methods for unidirectional dispersive wave models. International Journal for Numerical Methods in Fluids, 71(6), 717–736. Portico. https://doi.org/10.1002/fld.3681

Local Run-Up Amplification by Resonant Wave Interactions

Physical Review Letters / Sep 16, 2011

Stefanakis, T. S., Dias, F., & Dutykh, D. (2011). Local Run-Up Amplification by Resonant Wave Interactions. Physical Review Letters, 107(12). https://doi.org/10.1103/physrevlett.107.124502

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Communications in Computational Physics / Jan 01, 2018

Khakimzyanov, G., Dutykh, D., Gusev, O., & Shokina, N. Yu. (2018). Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space. Communications in Computational Physics, 23(1). https://doi.org/10.4208/cicp.oa-2016-0179b

Geometric numerical schemes for the KdV equation

Computational Mathematics and Mathematical Physics / Feb 01, 2013

Dutykh, D., Chhay, M., & Fedele, F. (2013). Geometric numerical schemes for the KdV equation. Computational Mathematics and Mathematical Physics, 53(2), 221–236. https://doi.org/10.1134/s0965542513020103

Influence of Biaxial Stress on Magnetic Behavior of Hot-Rolled Steels

Research and Review Journal of Nondestructive Testing / Aug 01, 2023

Hubert, O., Taurines, J., Maazaz, Z., Crepinge, R., Celada-Casero, C., & Van Den Berg, F. (2023). Influence of Biaxial Stress on Magnetic Behavior of Hot-Rolled Steels. Research and Review Journal of Nondestructive Testing, 1(1). https://doi.org/10.58286/28160

Nonlinear waves in networks: Model reduction for the sine-Gordon equation

Physical Review E / Aug 25, 2014

Caputo, J.-G., & Dutykh, D. (2014). Nonlinear waves in networks: Model reduction for the sine-Gordon equation. Physical Review E, 90(2). https://doi.org/10.1103/physreve.90.022912

Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

Communications in Computational Physics / Jun 01, 2020

Dutykh, G. K. and D. (2020). Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models. Communications in Computational Physics, 27(2), 321–378. https://doi.org/10.4208/cicp.oa-2018-0294

Dispersive Shallow Water Waves

Lecture Notes in Geosystems Mathematics and Computing / Jan 01, 2020

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Gusev, O. (2020). Dispersive Shallow Water Waves: Theory, Modeling, and Numerical Methods. In Lecture Notes in Geosystems Mathematics and Computing. Springer International Publishing. https://doi.org/10.1007/978-3-030-46267-3

Long Wave Run-Up on Random Beaches

Physical Review Letters / Oct 26, 2011

Dutykh, D., Labart, C., & Mitsotakis, D. (2011). Long Wave Run-Up on Random Beaches. Physical Review Letters, 107(18). https://doi.org/10.1103/physrevlett.107.184504

Emergence of coherent wave groups in deep-water random sea

Physical Review E / Jun 03, 2013

Viotti, C., Dutykh, D., Dudley, J. M., & Dias, F. (2013). Emergence of coherent wave groups in deep-water random sea. Physical Review E, 87(6). https://doi.org/10.1103/physreve.87.063001

Invariant conservation law-preserving discretizations of linear and nonlinear wave equations

Journal of Mathematical Physics / Aug 01, 2020

Cheviakov, A. F., Dorodnitsyn, V. A., & Kaptsov, E. I. (2020). Invariant conservation law-preserving discretizations of linear and nonlinear wave equations. Journal of Mathematical Physics, 61(8). https://doi.org/10.1063/5.0004372

Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry

Communications in Computational Physics / Jan 01, 2018

Khakimzyanov, G., Dutykh, D., & Gusev, O. (2018). Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry. Communications in Computational Physics, 23(2). https://doi.org/10.4208/cicp.oa-2016-0179d

Hamiltonian form and solitary waves of the spatial Dysthe equations

JETP Letters / Feb 01, 2012

Fedele, F., & Dutykh, D. (2012). Hamiltonian form and solitary waves of the spatial Dysthe equations. JETP Letters, 94(12), 840–844. https://doi.org/10.1134/s0021364011240039

ArXiv preprint server plans multimillion-dollar overhaul

Nature / Jun 29, 2016

Van Noorden, R. (2016). ArXiv preprint server plans multimillion-dollar overhaul. Nature, 534(7609), 602–602. https://doi.org/10.1038/534602a

MIMO Systems with Intentional Timing Offset

EURASIP Journal on Advances in Signal Processing / Mar 15, 2011

Das (Nandan), A., & Rao, B. D. (2011). MIMO Systems with Intentional Timing Offset. EURASIP Journal on Advances in Signal Processing, 2011(1). https://doi.org/10.1155/2011/267641

Aspects de la modélisation numérique des tsunamis

Edition 2, Tanger, Maroc / Jan 01, 2011

TOUHAMI, H. E., & KHELLAF, M. C. (2011). Aspects de la modélisation numérique des tsunamis. Edition 2, Tanger, Maroc. https://doi.org/10.5150/cmcm.2011.022

On the multi-symplectic structure of the Serre–Green–Naghdi equations

Journal of Physics A: Mathematical and Theoretical / Dec 17, 2015

Chhay, M., Dutykh, D., & Clamond, D. (2015). On the multi-symplectic structure of the Serre–Green–Naghdi equations. Journal of Physics A: Mathematical and Theoretical, 49(3), 03LT01. https://doi.org/10.1088/1751-8113/49/3/03lt01

Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations

Communications in Mathematical Sciences / Jan 01, 2018

Pu, Y., Pego, R. L., Dutykh, D., & Clamond, D. (2018). Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations. Communications in Mathematical Sciences, 16(5), 1361–1378. https://doi.org/10.4310/cms.2018.v16.n5.a9

Dispersive waves generated by an underwater landslide

Numerical Methods for Hyperbolic Equations / Nov 05, 2012

Dutykh, D., Mitsotakis, D., Beisel, S., & Shokina, N. (2012). Dispersive waves generated by an underwater landslide. In Numerical Methods for Hyperbolic Equations (pp. 245–250). CRC Press. https://doi.org/10.1201/b14172-33

Peregrine’s System Revisited

Nonlinear Waves and Pattern Dynamics / Jan 01, 2018

Durán, A., Dutykh, D., & Mitsotakis, D. (2018). Peregrine’s System Revisited. In Nonlinear Waves and Pattern Dynamics (pp. 3–43). Springer International Publishing. https://doi.org/10.1007/978-3-319-78193-8_1

Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry

Communications in Computational Physics / Jan 01, 2018

Khakimzyanov, G., Dutykh, D., & Fedotova, Z. (2018). Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry. Communications in Computational Physics, 23(2). https://doi.org/10.4208/cicp.oa-2016-0179c

Numerical Modelling of Surface Water Wave Interaction with a Moving Wall

Communications in Computational Physics / Jan 01, 2018

Khakimzyanov, G., & Dutykh, D. (2018). Numerical Modelling of Surface Water Wave Interaction with a Moving Wall. Communications in Computational Physics, 23(5). https://doi.org/10.4208/cicp.oa-2017-0110

Run-up amplification of transient long waves

Quarterly of Applied Mathematics / Jan 22, 2015

Stefanakis, T. S., Xu, S., Dutykh, D., & Dias, F. (2015). Run-up amplification of transient long waves. Quarterly of Applied Mathematics, 73(1), 177–199. https://doi.org/10.1090/s0033-569x-2015-01377-0

Solitary wave interaction in a compact equation for deep-water gravity waves

JETP Letters / Aug 01, 2012

Fedele, F., & Dutykh, D. (2012). Solitary wave interaction in a compact equation for deep-water gravity waves. JETP Letters, 95(12), 622–625. https://doi.org/10.1134/s0021364012120041

Supervised dimensionality reduction technique accounting for soft classes

ESANN 2022 proceedings / Jan 01, 2022

Mustatea, S., Aupetit, M., Peltonen, J., Lespinats, S., & Dutykh, D. (2022). Supervised dimensionality reduction technique accounting for soft classes. ESANN 2022 Proceedings. https://doi.org/10.14428/esann/2022.es2022-26

Mathematical modeling of exercise fatigability in the severe domain: A unifying integrative framework in isokinetic condition

Journal of Theoretical Biology / Feb 01, 2024

Bowen, M., Samozino, P., Vonderscher, M., Dutykh, D., & Morel, B. (2024). Mathematical modeling of exercise fatigability in the severe domain: A unifying integrative framework in isokinetic condition. Journal of Theoretical Biology, 578, 111696. https://doi.org/10.1016/j.jtbi.2023.111696

Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations

Partial Differential Equations in Applied Mathematics / Jun 01, 2023

Cheviakov, A., & Dutykh, D. (2023). Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations. Partial Differential Equations in Applied Mathematics, 7, 100519. https://doi.org/10.1016/j.padiff.2023.100519

NEOLAB: A Scilab tool to simulate the Negative Electrode of Lead-Acid Batteries

SoftwareX / May 01, 2023

Cugnet, M., Gallois, F., Kirchev, A., & Dutykh, D. (2023). NEOLAB: A Scilab tool to simulate the Negative Electrode of Lead-Acid Batteries. SoftwareX, 22, 101394. https://doi.org/10.1016/j.softx.2023.101394

Theoretical Investigation Applied to Scattering Water Waves by Rectangular Submerged Obstacles/and Submarine Trenches

Geosciences / Oct 11, 2022

Loukili, M., Dutykh, D., Pincemin, S., Kotrasova, K., & Abcha, N. (2022). Theoretical Investigation Applied to Scattering Water Waves by Rectangular Submerged Obstacles/and Submarine Trenches. Geosciences, 12(10), 379. https://doi.org/10.3390/geosciences12100379

Coupled and Synchronization Models of Rhythmic Arm Movement in Planar Plane

Bioengineering / Aug 12, 2022

Machmudah, A., Dutykh, D., & Parman, S. (2022). Coupled and Synchronization Models of Rhythmic Arm Movement in Planar Plane. Bioengineering, 9(8), 385. https://doi.org/10.3390/bioengineering9080385

MING: An interpretative support method for visual exploration of multidimensional data

Information Visualization / Mar 02, 2022

Colange, B., Vuillon, L., Lespinats, S., & Dutykh, D. (2022). MING: An interpretative support method for visual exploration of multidimensional data. Information Visualization, 21(3), 246–269. https://doi.org/10.1177/14738716221079589

Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism

Drones / Mar 07, 2022

Machmudah, A., Shanmugavel, M., Parman, S., Manan, T. S. A., Dutykh, D., Beddu, S., & Rajabi, A. (2022). Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism. Drones, 6(3), 69. https://doi.org/10.3390/drones6030069

Fast shallow water-wave solver for plane inclined beaches

SoftwareX / Jan 01, 2022

Bueler-Faudree, T., Delamere, S., Dutykh, D., Rybkin, A., & Suleimani, A. (2022). Fast shallow water-wave solver for plane inclined beaches. SoftwareX, 17, 100983. https://doi.org/10.1016/j.softx.2022.100983

Regional tsunami hazard from splay faults in the Gulf of Oman

Ocean Engineering / Jan 01, 2022

Rashidi, A., Dutykh, D., Keshavarz, N., & Audin, L. (2022). Regional tsunami hazard from splay faults in the Gulf of Oman. Ocean Engineering, 243, 110169. https://doi.org/10.1016/j.oceaneng.2021.110169

On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries

Analysis and Mathematical Physics / Apr 01, 2022

Blackmore, D., Prykarpatsky, Y., Prytula, M. M., Dutykh, D., & Prykarpatski, A. K. (2022). On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries. Analysis and Mathematical Physics, 12(2). https://doi.org/10.1007/s13324-022-00662-0

Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

Geosciences / Oct 18, 2021

Loukili, M., Dutykh, D., Nadjib, C., Ning, D., & Kotrasova, K. (2021). Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank. Geosciences, 11(10), 430. https://doi.org/10.3390/geosciences11100430

Ecological Risk Indicators for Leached Heavy Metals from Coal Ash Generated at a Malaysian Power Plant

Sustainability / Sep 13, 2021

Abd Manan, T. S. B., Beddu, S., Mohd Kamal, N. L., Mohamad, D., Itam, Z., Khan, T., Machmudah, A., Dutykh, D., Mohtar, W. H. M. W., Jusoh, H., Nazri, F. M., Yapandi, M. F. K. M., Pati, S., Ahmad, A., & Wan Rasdi, N. (2021). Ecological Risk Indicators for Leached Heavy Metals from Coal Ash Generated at a Malaysian Power Plant. Sustainability, 13(18), 10222. https://doi.org/10.3390/su131810222

Numerical Stability Investigations of the Method of Fundamental Solutions Applied to Wave-Current Interactions Using Generating-Absorbing Boundary Conditions

Symmetry / Jun 27, 2021

Loukili, M., Dutykh, D., Kotrasova, K., & Ning, D. (2021). Numerical Stability Investigations of the Method of Fundamental Solutions Applied to Wave-Current Interactions Using Generating-Absorbing Boundary Conditions. Symmetry, 13(7), 1153. https://doi.org/10.3390/sym13071153

On Galilean Invariant and Energy Preserving BBM-Type Equations

Symmetry / May 14, 2021

Cheviakov, A., Dutykh, D., & Assylbekuly, A. (2021). On Galilean Invariant and Energy Preserving BBM-Type Equations. Symmetry, 13(5), 878. https://doi.org/10.3390/sym13050878

Derivation of a Viscous Serre–Green–Naghdi Equation: An Impasse?

Fluids / Apr 01, 2021

Dutykh, D., & Le Meur, H. V. J. (2021). Derivation of a Viscous Serre–Green–Naghdi Equation: An Impasse? Fluids, 6(4), 135. https://doi.org/10.3390/fluids6040135

Numerical Modeling of Jet at the Bottom of Tank at Moderate Reynolds Number Using Compact Hermitian Finite Differences Method

Fluids / Feb 01, 2021

Loukili, M., Kotrasova, K., & Dutykh, D. (2021). Numerical Modeling of Jet at the Bottom of Tank at Moderate Reynolds Number Using Compact Hermitian Finite Differences Method. Fluids, 6(2), 63. https://doi.org/10.3390/fluids6020063

ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH

Journal of Applied Mechanics and Technical Physics / Jul 01, 2021

Gusev, O. I., Khakimzyanov, G. S., Chubarov, L. B., & Dutykh, D. (2021). ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH. Journal of Applied Mechanics and Technical Physics, 62(4), 624–632. https://doi.org/10.1134/s0021894421040118

Alphabets, rewriting trails and periodic representations in algebraic bases

Research in Number Theory / Sep 28, 2021

Dutykh, D., & Verger-Gaugry, J.-L. (2021). Alphabets, rewriting trails and periodic representations in algebraic bases. Research in Number Theory, 7(4). https://doi.org/10.1007/s40993-021-00290-w

Comparison of ground deformation due to movement of a fault for different types of crack surface

GEM - International Journal on Geomathematics / Feb 01, 2021

Kundu, P., Sarkar , S., Rashidi, A., & Dutykh, D. (2021). Comparison of ground deformation due to movement of a fault for different types of crack surface. GEM - International Journal on Geomathematics, 12(1). https://doi.org/10.1007/s13137-021-00171-5

Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution

Water Waves / Oct 07, 2020

Hunt, M. J., & Dutykh, D. (2020). Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution. Water Waves, 3(2), 297–317. https://doi.org/10.1007/s42286-020-00043-9

Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction

Differential Geometry, Differential Equations, and Mathematical Physics / Nov 04, 2020

Roubtsov, V., & Dutykh, D. (2020). Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction. In Tutorials, Schools, and Workshops in the Mathematical Sciences (pp. 1–29). Springer International Publishing. https://doi.org/10.1007/978-3-030-63253-3_1

An Analytical Study on Wave-Current-Mud Interaction

Water / Oct 17, 2020

Shamsnia, S., & Dutykh, D. (2020). An Analytical Study on Wave-Current-Mud Interaction. Water, 12(10), 2899. https://doi.org/10.3390/w12102899

A Review of Tsunami Hazards in the Makran Subduction Zone

Geosciences / Sep 18, 2020

Rashidi, A., Dutykh, D., Shomali, Z. H., Keshavarz Farajkhah, N., & Nouri, M. (2020). A Review of Tsunami Hazards in the Makran Subduction Zone. Geosciences, 10(9), 372. https://doi.org/10.3390/geosciences10090372

Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++

Geosciences / Sep 04, 2020

Sadaka, G., & Dutykh, D. (2020). Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++. Geosciences, 10(9), 351. https://doi.org/10.3390/geosciences10090351

Adaptive Numerical Modelling of Tsunami Wave Generation and Propagation with FreeFem++

Aug 27, 2020

Sadaka, G., & Dutykh, D. (2020). Adaptive Numerical Modelling of Tsunami Wave Generation and Propagation with FreeFem++. https://doi.org/10.20944/preprints202008.0616.v1

Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations

Symmetry / Jul 29, 2020

Dutykh, D., & Tobisch, E. (2020). Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations. Symmetry, 12(8), 1254. https://doi.org/10.3390/sym12081254

Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations

Jul 09, 2020

Dutykh, D., & Tobisch, E. (2020). Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations. https://doi.org/10.20944/preprints202007.0171.v1

Extreme Inundation Statistics on a Composite Beach

Water / May 31, 2020

Abdalazeez, A., Didenkulova, I., Dutykh, D., & Labart, C. (2020). Extreme Inundation Statistics on a Composite Beach. Water, 12(6), 1573. https://doi.org/10.3390/w12061573

Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution

Apr 15, 2020

Hunt, M., & Dutykh, D. (2020). Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution. https://doi.org/10.20944/preprints201911.0062.v2

Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations

Mar 31, 2020

Dutykh, D., & Tobisch, E. (2020). Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations. https://doi.org/10.20944/preprints202003.0447.v1

Resonance Enhancement by Suitably Chosen Frequency Detuning

Mathematics / Mar 19, 2020

Dutykh, D., & Tobisch, E. (2020). Resonance Enhancement by Suitably Chosen Frequency Detuning. Mathematics, 8(3), 450. https://doi.org/10.3390/math8030450

Resonance Enhancement by Suitably Chosen Frequency Detuning

Feb 24, 2020

Dutykh, D., & Tobisch, E. (2020). Resonance Enhancement by Suitably Chosen Frequency Detuning. https://doi.org/10.20944/preprints202002.0347.v1

A Computational Simulation of Steady Natural Convection in an H-Form Cavity

Software Engineering Perspectives in Intelligent Systems / Jan 01, 2020

Loukili, M., Kotrasova, K., & Dutykh, D. (2020). A Computational Simulation of Steady Natural Convection in an H-Form Cavity. In Advances in Intelligent Systems and Computing (pp. 164–177). Springer International Publishing. https://doi.org/10.1007/978-3-030-63319-6_15

An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation

Computer Physics Communications / Feb 01, 2020

Rusconi, S., Dutykh, D., Zarnescu, A., Sokolovski, D., & Akhmatskaya, E. (2020). An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation. Computer Physics Communications, 247, 106944. https://doi.org/10.1016/j.cpc.2019.106944

Comparison of Dispersive and Nondispersive Models for Wave Run-Up on a Beach

Izvestiya, Atmospheric and Oceanic Physics / Sep 01, 2020

Abdalazeez, A., Didenkulova, I. I., Dutykh, D., & Denissenko, P. (2020). Comparison of Dispersive and Nondispersive Models for Wave Run-Up on a Beach. Izvestiya, Atmospheric and Oceanic Physics, 56(5), 494–501. https://doi.org/10.1134/s0001433820050023

Critical assessment of a new mathematical model for hysteresis effects on heat and mass transfer in porous building material

International Journal of Thermal Sciences / May 01, 2020

Berger, J., Busser, T., Colinart, T., & Dutykh, D. (2020). Critical assessment of a new mathematical model for hysteresis effects on heat and mass transfer in porous building material. International Journal of Thermal Sciences, 151, 106275. https://doi.org/10.1016/j.ijthermalsci.2020.106275

Dispersive Effects During Long Wave Run-up on a Plane Beach

Advances in Natural Hazards and Hydrological Risks: Meeting the Challenge / Jan 01, 2020

Abdalazeez, A., Didenkulova, I., & Dutykh, D. (2020). Dispersive Effects During Long Wave Run-up on a Plane Beach. In Advances in Science, Technology & Innovation (pp. 143–146). Springer International Publishing. https://doi.org/10.1007/978-3-030-34397-2_28

Experimental and numerical study of the propagation of focused wave groups in the nearshore zone

Physics Letters A / Feb 01, 2020

Abroug, I., Abcha, N., Dutykh, D., Jarno, A., & Marin, F. (2020). Experimental and numerical study of the propagation of focused wave groups in the nearshore zone. Physics Letters A, 384(6), 126144. https://doi.org/10.1016/j.physleta.2019.126144

Horizontal displacement effect in tsunami wave generation in the western Makran region

Journal of Ocean Engineering and Marine Energy / Nov 01, 2020

Rashidi, A., Dutykh, D., & Shomali, Z. H. (2020). Horizontal displacement effect in tsunami wave generation in the western Makran region. Journal of Ocean Engineering and Marine Energy, 6(4), 427–439. https://doi.org/10.1007/s40722-020-00182-8

Learning extreme wave run-up conditions

Applied Ocean Research / Dec 01, 2020

Mj, D., & Dutykh, D. (2020). Learning extreme wave run-up conditions. Applied Ocean Research, 105, 102400. https://doi.org/10.1016/j.apor.2020.102400

Model Derivation on a Globally Flat Space

Dispersive Shallow Water Waves / Jan 01, 2020

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Gusev, O. (2020). Model Derivation on a Globally Flat Space. In Lecture Notes in Geosystems Mathematics and Computing (pp. 1–43). Springer International Publishing. https://doi.org/10.1007/978-3-030-46267-3_1

Model Derivation on a Globally Spherical Geometry

Dispersive Shallow Water Waves / Jan 01, 2020

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Gusev, O. (2020). Model Derivation on a Globally Spherical Geometry. In Lecture Notes in Geosystems Mathematics and Computing (pp. 135–190). Springer International Publishing. https://doi.org/10.1007/978-3-030-46267-3_3

Numerical Simulation on a Globally Flat Space

Dispersive Shallow Water Waves / Jan 01, 2020

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Gusev, O. (2020). Numerical Simulation on a Globally Flat Space. In Lecture Notes in Geosystems Mathematics and Computing (pp. 45–134). Springer International Publishing. https://doi.org/10.1007/978-3-030-46267-3_2

Numerical Simulation on a Globally Spherical Geometry

Dispersive Shallow Water Waves / Jan 01, 2020

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Gusev, O. (2020). Numerical Simulation on a Globally Spherical Geometry. In Lecture Notes in Geosystems Mathematics and Computing (pp. 191–237). Springer International Publishing. https://doi.org/10.1007/978-3-030-46267-3_4

On the comparison of three numerical methods applied to building simulation: Finite-differences, RC circuit approximation and a spectral method

Building Simulation / Jul 02, 2019

Berger, J., Gasparin, S., Dutykh, D., & Mendes, N. (2019). On the comparison of three numerical methods applied to building simulation: Finite-differences, RC circuit approximation and a spectral method. Building Simulation, 13(1), 1–18. https://doi.org/10.1007/s12273-019-0555-z

PREFACE

Kievan Christianity: The Tenth to the Thirteenth Centuries

PREFACE. (n.d.). In Kievan Christianity: The Tenth to the Thirteenth Centuries. Harvard University Press. https://doi.org/10.4159/harvard.9780674333604.prf

Retraction notice to “On the estimation of moisture permeability and advection coefficients of a wood fibre material using the optimal experiment design approach” [Exp. Therm. Fluid Sci. 90 (2017) 246–259]

Experimental Thermal and Fluid Science / May 01, 2020

Berger, J., Busser, T., Dutykh, D., & Mendes, N. (2020). Retraction notice to “On the estimation of moisture permeability and advection coefficients of a wood fibre material using the optimal experiment design approach” [Exp. Therm. Fluid Sci. 90 (2017) 246–259]. Experimental Thermal and Fluid Science, 113, 109808. https://doi.org/10.1016/j.expthermflusci.2019.04.028

Tsunami hazard assessment in the Makran subduction zone

Natural Hazards / Jan 01, 2020

Rashidi, A., Shomali, Z. H., Dutykh, D., & Keshavarz Farajkhah, N. (2020). Tsunami hazard assessment in the Makran subduction zone. Natural Hazards, 100(2), 861–875. https://doi.org/10.1007/s11069-019-03848-1

Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution

Nov 06, 2019

Hunt, M., & Dutykh, D. (2019). Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution. https://doi.org/10.20944/preprints201911.0062.v1

Critical assessment of efficient numerical methods for a long-term simulation of heat and moisture transfer in porous materials

International Journal of Thermal Sciences / Nov 01, 2019

Abdykarim, M., Berger, J., Dutykh, D., Soudani, L., & Agbossou, A. (2019). Critical assessment of efficient numerical methods for a long-term simulation of heat and moisture transfer in porous materials. International Journal of Thermal Sciences, 145, 105982. https://doi.org/10.1016/j.ijthermalsci.2019.105982

Hamiltonian regularisation of shallow water equations with uneven bottom

Journal of Physics A: Mathematical and Theoretical / Sep 23, 2019

Clamond, D., Dutykh, D., & Mitsotakis, D. (2019). Hamiltonian regularisation of shallow water equations with uneven bottom. Journal of Physics A: Mathematical and Theoretical, 52(42), 42LT01. https://doi.org/10.1088/1751-8121/ab3eb2

Numerical Simulation of Feller's Diffusion Equation

Sep 12, 2019

Dutykh, D. (2019). Numerical Simulation of Feller’s Diffusion Equation. https://doi.org/10.20944/preprints201909.0131.v1

Numerical Simulation of Conservation Laws with Moving Grid Nodes: Application to Tsunami Wave Modelling

Geosciences / Apr 30, 2019

Khakimzyanov, G., Dutykh, D., Mitsotakis, D., & Shokina, N. Yu. (2019). Numerical Simulation of Conservation Laws with Moving Grid Nodes: Application to Tsunami Wave Modelling. Geosciences, 9(5), 197. https://doi.org/10.3390/geosciences9050197

Coupling Conditions for Water Waves at Forks

Symmetry / Mar 24, 2019

Caputo, J.-G., Dutykh, D., & Gleyse, B. (2019). Coupling Conditions for Water Waves at Forks. Symmetry, 11(3), 434. https://doi.org/10.3390/sym11030434

On the velocity of turbidity currents over moderate slopes

Fluid Dynamics Research / Mar 18, 2019

Liapidevskii, V. Y., & Dutykh, D. (2019). On the velocity of turbidity currents over moderate slopes. Fluid Dynamics Research, 51(3), 035501. https://doi.org/10.1088/1873-7005/ab0091

On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties

Physica D: Nonlinear Phenomena / Jan 01, 2019

Durán, A., Dutykh, D., & Mitsotakis, D. (2019). On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties. Physica D: Nonlinear Phenomena, 388, 10–21. https://doi.org/10.1016/j.physd.2018.11.007

A comparative study of bi-directional Whitham systems

Applied Numerical Mathematics / Jul 01, 2019

Dinvay, E., Dutykh, D., & Kalisch, H. (2019). A comparative study of bi-directional Whitham systems. Applied Numerical Mathematics, 141, 248–262. https://doi.org/10.1016/j.apnum.2018.09.016

A new model for simulating heat, air and moisture transport in porous building materials

International Journal of Heat and Mass Transfer / May 01, 2019

Berger, J., Dutykh, D., Mendes, N., & Rysbaiuly, B. (2019). A new model for simulating heat, air and moisture transport in porous building materials. International Journal of Heat and Mass Transfer, 134, 1041–1060. https://doi.org/10.1016/j.ijheatmasstransfer.2019.01.025

A spectral method for solving heat and moisture transfer through consolidated porous media

International Journal for Numerical Methods in Engineering / Dec 03, 2018

Gasparin, S., Dutykh, D., & Mendes, N. (2018). A spectral method for solving heat and moisture transfer through consolidated porous media. International Journal for Numerical Methods in Engineering, 117(11), 1143–1170. Portico. https://doi.org/10.1002/nme.5994

An efficient method to estimate sorption isotherm curve coefficients

Inverse Problems in Science and Engineering / Jul 14, 2018

Berger, J., Busser, T., Dutykh, D., & Mendes, N. (2018). An efficient method to estimate sorption isotherm curve coefficients. Inverse Problems in Science and Engineering, 27(6), 735–772. https://doi.org/10.1080/17415977.2018.1495720

An efficient numerical model for liquid water uptake in porous material and its parameter estimation

Numerical Heat Transfer, Part A: Applications / Jan 17, 2019

Jumabekova, A., Berger, J., Dutykh, D., Le Meur, H., Foucquier, A., Pailha, M., & Ménézo, C. (2019). An efficient numerical model for liquid water uptake in porous material and its parameter estimation. Numerical Heat Transfer, Part A: Applications, 75(2), 110–136. https://doi.org/10.1080/10407782.2018.1562739

An innovative method to determine optimum insulation thickness based on non-uniform adaptive moving grid

Journal of the Brazilian Society of Mechanical Sciences and Engineering / Mar 14, 2019

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2019). An innovative method to determine optimum insulation thickness based on non-uniform adaptive moving grid. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(4). https://doi.org/10.1007/s40430-019-1670-6

Effects of vorticity on the travelling waves of some shallow water two-component systems

Discrete & Continuous Dynamical Systems - A / Jan 01, 2019

Dutykh, D., & Ionescu-Kruse, D. (2019). Effects of vorticity on the travelling waves of some shallow water two-component systems. Discrete & Continuous Dynamical Systems - A, 39(9), 5521–5541. https://doi.org/10.3934/dcds.2019225

Evaluation of the reliability of building energy performance models for parameter estimation

Вычислительные технологии / Jun 17, 2019

Берже,   Жулиан, & Дутых,   Денис. (2019). Evaluation of the reliability of building energy performance models for parameter estimation. Вычислительные Технологии, 3(24). https://doi.org/10.25743/ict.2019.24.3.002

Interpreting Distortions in Dimensionality Reduction by Superimposing Neighbourhood Graphs

2019 IEEE Visualization Conference (VIS) / Oct 01, 2019

Colange, B., Vuillon, L., Lespinats, S., & Dutykh, D. (2019, October). Interpreting Distortions in Dimensionality Reduction by Superimposing Neighbourhood Graphs. 2019 IEEE Visualization Conference (VIS). https://doi.org/10.1109/visual.2019.8933568

Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions

Natural Hazards and Earth System Sciences / Dec 20, 2019

Abdalazeez, A. A., Didenkulova, I., & Dutykh, D. (2019). Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions. Natural Hazards and Earth System Sciences, 19(12), 2905–2913. https://doi.org/10.5194/nhess-19-2905-2019

Numerical Methods for Diffusion Phenomena in Building Physics

Jan 01, 2019

Mendes, N., Chhay, M., Berger, J., & Dutykh, D. (2019). Numerical Methods for Diffusion Phenomena in Building Physics: A Practical Introduction. Springer International Publishing. https://doi.org/10.1007/978-3-030-31574-0

Numerical Simulation of Feller’s Diffusion Equation

Mathematics / Nov 06, 2019

Dutykh, D. (2019). Numerical Simulation of Feller’s Diffusion Equation. Mathematics, 7(11), 1067. https://doi.org/10.3390/math7111067

On some model equations for pulsatile flow in viscoelastic vessels

Wave Motion / Aug 01, 2019

Mitsotakis, D., Dutykh, D., Li, Q., & Peach, E. (2019). On some model equations for pulsatile flow in viscoelastic vessels. Wave Motion, 90, 139–151. https://doi.org/10.1016/j.wavemoti.2019.05.004

On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

Physica D: Nonlinear Phenomena / Oct 01, 2019

Durán, A., Dutykh, D., & Mitsotakis, D. (2019). On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization. Physica D: Nonlinear Phenomena, 397, 1–16. https://doi.org/10.1016/j.physd.2019.05.002

On time relaxed schemes and formulations for dispersive wave equations

AIMS Mathematics / Jan 01, 2019

Chehab, J.-P., & Dutykh, D. (2019). On time relaxed schemes and formulations for dispersive wave equations. AIMS Mathematics, 4(2), 254–278. https://doi.org/10.3934/math.2019.2.254

Solving nonlinear diffusive problems in buildings by means of a Spectral reduced-order model

Journal of Building Performance Simulation / Apr 16, 2018

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2018). Solving nonlinear diffusive problems in buildings by means of a Spectral reduced-order model. Journal of Building Performance Simulation, 12(1), 17–36. https://doi.org/10.1080/19401493.2018.1458905

On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials

Arnold Mathematical Journal / Dec 01, 2018

Dutykh, D., & Verger-Gaugry, J.-L. (2018). On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials. Arnold Mathematical Journal, 4(3–4), 315–344. https://doi.org/10.1007/s40598-019-00102-1

Wave dynamics on networks: Method and application to the sine-Gordon equation

Applied Numerical Mathematics / Sep 01, 2018

Dutykh, D., & Caputo, J.-G. (2018). Wave dynamics on networks: Method and application to the sine-Gordon equation. Applied Numerical Mathematics, 131, 54–71. https://doi.org/10.1016/j.apnum.2018.03.010

Analysis and improvement of the VTT mold growth model: Application to bamboo fiberboard

Building and Environment / Jun 01, 2018

Berger, J., Le Meur, H., Dutykh, D., Nguyen, D. M., & Grillet, A.-C. (2018). Analysis and improvement of the VTT mold growth model: Application to bamboo fiberboard. Building and Environment, 138, 262–274. https://doi.org/10.1016/j.buildenv.2018.03.031

Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry

Computers & Mathematics with Applications / Jun 01, 2018

Mitsotakis, D., Dutykh, D., & Li, Q. (2018). Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry. Computers & Mathematics with Applications, 75(11), 4022–4047. https://doi.org/10.1016/j.camwa.2018.03.011

On the modelling of shallow turbidity flows

Advances in Water Resources / Mar 01, 2018

Liapidevskii, V. Yu., Dutykh, D., & Gisclon, M. (2018). On the modelling of shallow turbidity flows. Advances in Water Resources, 113, 310–327. https://doi.org/10.1016/j.advwatres.2018.01.017

RETRACTED: On the estimation of moisture permeability and advection coefficients of a wood fibre material using the optimal experiment design approach

Experimental Thermal and Fluid Science / Jan 01, 2018

Berger, J., Busser, T., Dutykh, D., & Mendes, N. (2018). RETRACTED: On the estimation of moisture permeability and advection coefficients of a wood fibre material using the optimal experiment design approach. Experimental Thermal and Fluid Science, 90, 246–259. https://doi.org/10.1016/j.expthermflusci.2017.07.026

Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth

Journal of Fluid Mechanics / Apr 06, 2018

Clamond, D., & Dutykh, D. (2018). Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth. Journal of Fluid Mechanics, 844, 491–518. https://doi.org/10.1017/jfm.2018.208

Advanced Reduced-Order Models for Moisture Diffusion in Porous Media

Transport in Porous Media / Jun 27, 2018

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2018). Advanced Reduced-Order Models for Moisture Diffusion in Porous Media. Transport in Porous Media, 124(3), 965–994. https://doi.org/10.1007/s11242-018-1106-2

An adaptive simulation of nonlinear heat and moisture transfer as a boundary value problem

International Journal of Thermal Sciences / Nov 01, 2018

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2018). An adaptive simulation of nonlinear heat and moisture transfer as a boundary value problem. International Journal of Thermal Sciences, 133, 120–139. https://doi.org/10.1016/j.ijthermalsci.2018.07.013

An improved explicit scheme for whole-building hygrothermal simulation

Building Simulation / Nov 07, 2017

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2017). An improved explicit scheme for whole-building hygrothermal simulation. Building Simulation, 11(3), 465–481. https://doi.org/10.1007/s12273-017-0419-3

Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space

Communications in Computational Physics / Jan 01, 2018

Khakimzyanov, G., Dutykh, D., Fedotova, Z., & Mitsotakis, D. (2018). Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space. Communications in Computational Physics, 23(1). https://doi.org/10.4208/cicp.oa-2016-0179a

Evaluation of tsunami wave energy generated by earthquakes in the Makran subduction zone

Ocean Engineering / Oct 01, 2018

Rashidi, A., Shomali, Z. H., Dutykh, D., & Keshavarz Faraj Khah, N. (2018). Evaluation of tsunami wave energy generated by earthquakes in the Makran subduction zone. Ocean Engineering, 165, 131–139. https://doi.org/10.1016/j.oceaneng.2018.07.027

Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations)

Communications in Nonlinear Science and Numerical Simulation / Feb 01, 2018

Clamond, D., & Dutykh, D. (2018). Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations). Communications in Nonlinear Science and Numerical Simulation, 55, 237–247. https://doi.org/10.1016/j.cnsns.2017.07.011

On the Solution of Coupled Heat and Moisture Transport in Porous Material

Transport in Porous Media / Dec 13, 2017

Berger, J., Gasparin, S., Dutykh, D., & Mendes, N. (2017). On the Solution of Coupled Heat and Moisture Transport in Porous Material. Transport in Porous Media, 121(3), 665–702. https://doi.org/10.1007/s11242-017-0980-3

Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations

Theoretical and Computational Fluid Dynamics / Apr 04, 2018

Dutykh, D., Hoefer, M., & Mitsotakis, D. (2018). Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations. Theoretical and Computational Fluid Dynamics, 32(3), 371–397. https://doi.org/10.1007/s00162-018-0455-3

Some special solutions to the Hyperbolic NLS equation

Communications in Nonlinear Science and Numerical Simulation / Apr 01, 2018

Vuillon, L., Dutykh, D., & Fedele, F. (2018). Some special solutions to the Hyperbolic NLS equation. Communications in Nonlinear Science and Numerical Simulation, 57, 202–220. https://doi.org/10.1016/j.cnsns.2017.09.018

Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials

Journal of Building Performance Simulation / Mar 09, 2017

Gasparin, S., Berger, J., Dutykh, D., & Mendes, N. (2017). Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials. Journal of Building Performance Simulation, 11(2), 129–144. https://doi.org/10.1080/19401493.2017.1298669

On supraconvergence phenomenon for second order centered finite differences on non-uniform grids

Journal of Computational and Applied Mathematics / Dec 01, 2017

Khakimzyanov, G., & Dutykh, D. (2017). On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. Journal of Computational and Applied Mathematics, 326, 1–14. https://doi.org/10.1016/j.cam.2017.05.006

On weakly singular and fully nonlinear travelling shallow capillary–gravity waves in the critical regime

Physics Letters A / May 01, 2017

Mitsotakis, D., Dutykh, D., Assylbekuly, A., & Zhakebayev, D. (2017). On weakly singular and fully nonlinear travelling shallow capillary–gravity waves in the critical regime. Physics Letters A, 381(20), 1719–1726. https://doi.org/10.1016/j.physleta.2017.03.041

On the nonlinear dynamics of the traveling-wave solutions of the Serre system

Wave Motion / Apr 01, 2017

Mitsotakis, D., Dutykh, D., & Carter, J. (2017). On the nonlinear dynamics of the traveling-wave solutions of the Serre system. Wave Motion, 70, 166–182. https://doi.org/10.1016/j.wavemoti.2016.09.008

Accurate numerical simulation of moisture front in porous material

Building and Environment / Jun 01, 2017

Berger, J., Gasparin, S., Dutykh, D., & Mendes, N. (2017). Accurate numerical simulation of moisture front in porous material. Building and Environment, 118, 211–224. https://doi.org/10.1016/j.buildenv.2017.03.016

New asymptotic heat transfer model in thin liquid films

Applied Mathematical Modelling / Aug 01, 2017

Chhay, M., Dutykh, D., Gisclon, M., & Ruyer-Quil, C. (2017). New asymptotic heat transfer model in thin liquid films. Applied Mathematical Modelling, 48, 844–859. https://doi.org/10.1016/j.apm.2017.02.022

On the optimal experiment design for heat and moisture parameter estimation

Experimental Thermal and Fluid Science / Feb 01, 2017

Berger, J., Dutykh, D., & Mendes, N. (2017). On the optimal experiment design for heat and moisture parameter estimation. Experimental Thermal and Fluid Science, 81, 109–122. https://doi.org/10.1016/j.expthermflusci.2016.10.008

Serre-type Equations in Deep Water

Mathematical Modelling of Natural Phenomena / Jan 01, 2017

Dutykh, D., Clamond, D., & Chhay, M. (2017). Serre-type Equations in Deep Water. Mathematical Modelling of Natural Phenomena, 12(1), 23–40. https://doi.org/10.1051/mmnp/201712103

The Whitham equation with surface tension

Nonlinear Dynamics / Jan 10, 2017

Dinvay, E., Moldabayev, D., Dutykh, D., & Kalisch, H. (2017). The Whitham equation with surface tension. Nonlinear Dynamics, 88(2), 1125–1138. https://doi.org/10.1007/s11071-016-3299-7

Numerical methods for diffusion phenomena in building physics: a practical introduction

Dec 12, 2016

Mendes, N., Chhay, M., Berger, J., & Dutykh, D. (2016). Numerical methods for diffusion phenomena in building physics: a practical introduction. PUCPRESS. https://doi.org/10.7213/978868324455

Modified shallow water equations for significantly varying seabeds

Applied Mathematical Modelling / Dec 01, 2016

Dutykh, D., & Clamond, D. (2016). Modified shallow water equations for significantly varying seabeds. Applied Mathematical Modelling, 40(23–24), 9767–9787. https://doi.org/10.1016/j.apm.2016.06.033

Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach

Mathematics and Computers in Simulation / Sep 01, 2016

Dutykh, D., & Goubet, O. (2016). Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach. Mathematics and Computers in Simulation, 127, 80–93. https://doi.org/10.1016/j.matcom.2013.12.008

Efficient computation of capillary–gravity generalised solitary waves

Wave Motion / Sep 01, 2016

Dutykh, D., Clamond, D., & Durán, A. (2016). Efficient computation of capillary–gravity generalised solitary waves. Wave Motion, 65, 1–16. https://doi.org/10.1016/j.wavemoti.2016.04.007

A new run-up algorithm based on local high-order analytic expansions

Journal of Computational and Applied Mathematics / May 01, 2016

Khakimzyanov, G., Shokina, N. Yu., Dutykh, D., & Mitsotakis, D. (2016). A new run-up algorithm based on local high-order analytic expansions. Journal of Computational and Applied Mathematics, 298, 82–96. https://doi.org/10.1016/j.cam.2015.12.004

Algebraic method for constructing singular steady solitary waves: a case study

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences / Jul 01, 2016

Clamond, D., Dutykh, D., & Galligo, A. (2016). Algebraic method for constructing singular steady solitary waves: a case study. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2191), 20160194. https://doi.org/10.1098/rspa.2016.0194

Macroscopic dynamics of incoherent soliton ensembles: Soliton gas kinetics and direct numerical modelling

EPL (Europhysics Letters) / Feb 01, 2016

Carbone, F., Dutykh, D., & El, G. A. (2016). Macroscopic dynamics of incoherent soliton ensembles: Soliton gas kinetics and direct numerical modelling. EPL (Europhysics Letters), 113(3), 30003. https://doi.org/10.1209/0295-5075/113/30003

Modeling Water Waves Beyond Perturbations

New Approaches to Nonlinear Waves / Jan 01, 2016

Clamond, D., & Dutykh, D. (2016). Modeling Water Waves Beyond Perturbations. In Lecture Notes in Physics (pp. 197–210). Springer International Publishing. https://doi.org/10.1007/978-3-319-20690-5_7

Multi-symplectic structure of fully nonlinear weakly dispersive internal gravity waves

Journal of Physics A: Mathematical and Theoretical / Jun 27, 2016

Clamond, D., & Dutykh, D. (2016). Multi-symplectic structure of fully nonlinear weakly dispersive internal gravity waves. Journal of Physics A: Mathematical and Theoretical, 49(31), 31LT01. https://doi.org/10.1088/1751-8113/49/31/31lt01

Travelling wave solutions for some two-component shallow water models

Journal of Differential Equations / Jul 01, 2016

Dutykh, D., & Ionescu-Kruse, D. (2016). Travelling wave solutions for some two-component shallow water models. Journal of Differential Equations, 261(2), 1099–1114. https://doi.org/10.1016/j.jde.2016.03.035

Numerical study of the generalised Klein–Gordon equations

Physica D: Nonlinear Phenomena / Jun 01, 2015

Dutykh, D., Chhay, M., & Clamond, D. (2015). Numerical study of the generalised Klein–Gordon equations. Physica D: Nonlinear Phenomena, 304–305, 23–33. https://doi.org/10.1016/j.physd.2015.04.001

Direct dynamical energy cascade in the modified KdV equation

Physica D: Nonlinear Phenomena / Mar 01, 2015

Dutykh, D., & Tobisch, E. (2015). Direct dynamical energy cascade in the modified KdV equation. Physica D: Nonlinear Phenomena, 297, 76–87. https://doi.org/10.1016/j.physd.2015.01.002

A plethora of generalised solitary gravity–capillary water waves

Journal of Fluid Mechanics / Nov 06, 2015

Clamond, D., Dutykh, D., & Durán, A. (2015). A plethora of generalised solitary gravity–capillary water waves. Journal of Fluid Mechanics, 784, 664–680. https://doi.org/10.1017/jfm.2015.616

Computer Algebra Applied to a Solitary Waves Study

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation / Jun 24, 2015

Clamond, D., Dutykh, D., & Galligo, A. (2015, June 24). Computer Algebra Applied to a Solitary Waves Study. Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation. https://doi.org/10.1145/2755996.2756659

Numerical Simulation of Wave Impact on a Rigid Wall Using a Two–phase Compressible SPH Method

Procedia IUTAM / Jan 01, 2015

Rafiee, A., Dutykh, D., & Dias, F. (2015). Numerical Simulation of Wave Impact on a Rigid Wall Using a Two–phase Compressible SPH Method. Procedia IUTAM, 18, 123–137. https://doi.org/10.1016/j.piutam.2015.11.013

Camassa–Holm equations and vortexons for axisymmetric pipe flows

Fluid Dynamics Research / Nov 18, 2013

Fedele, F., & Dutykh, D. (2013). Camassa–Holm equations and vortexons for axisymmetric pipe flows. Fluid Dynamics Research, 46(1), 015503. https://doi.org/10.1088/0169-5983/46/1/015503

Energy equation for certain approximate models of long-wave hydrodynamics

Russian Journal of Numerical Analysis and Mathematical Modelling / Jan 01, 2014

Fedotova, Z. I., Khakimzyanov, G. S., & Dutykh, D. (2014). Energy equation for certain approximate models of long-wave hydrodynamics. Russian Journal of Numerical Analysis and Mathematical Modelling, 29(3). https://doi.org/10.1515/rnam-2014-0013

Evolution of Random Wave Fields in the Water of Finite Depth

Procedia IUTAM / Jan 01, 2014

Dutykh, D. (2014). Evolution of Random Wave Fields in the Water of Finite Depth. Procedia IUTAM, 11, 34–43. https://doi.org/10.1016/j.piutam.2014.01.046

Generation of 2D water waves by moving bottom disturbances

IMA Journal of Applied Mathematics / Oct 24, 2014

Nersisyan, H., Dutykh, D., & Zuazua, E. (2014). Generation of 2D water waves by moving bottom disturbances. IMA Journal of Applied Mathematics, 80(4), 1235–1253. https://doi.org/10.1093/imamat/hxu051

High-Order Nonlinear Schrödinger Equation for the Envelope of Slowly Modulated Gravity Waves on the Surface of Finite-Depth Fluid and Its Quasi-Soliton Solutions

Ukrainian Journal of Physics / Dec 01, 2014

Gandzha, I. S., Sedletsky, Yu. V., & Dutykh, D. S. (2014). High-Order Nonlinear Schrödinger Equation for the Envelope of Slowly Modulated Gravity Waves on the Surface of Finite-Depth Fluid and Its Quasi-Soliton Solutions. Ukrainian Journal of Physics, 59(12), 1201–1215. https://doi.org/10.15407/ujpe59.12.1201

Observation of the inverse energy cascade in the modified Korteweg-de Vries equation

EPL (Europhysics Letters) / Jun 23, 2014

Dutykh, D., & Tobisch, E. (2014). Observation of the inverse energy cascade in the modified Korteweg-de Vries equation. EPL (Europhysics Letters), 107(1), 14001. https://doi.org/10.1209/0295-5075/107/14001

On the Modelling of Tsunami Generation and Tsunami Inundation

Procedia IUTAM / Jan 01, 2014

Dias, F., Dutykh, D., O’Brien, L., Renzi, E., & Stefanakis, T. (2014). On the Modelling of Tsunami Generation and Tsunami Inundation. Procedia IUTAM, 10, 338–355. https://doi.org/10.1016/j.piutam.2014.01.029

The Conformal-mapping Method for Surface Gravity Waves in the Presence of Variable Bathymetry and Mean Current

Procedia IUTAM / Jan 01, 2014

Viotti, C., Dutykh, D., & Dias, F. (2014). The Conformal-mapping Method for Surface Gravity Waves in the Presence of Variable Bathymetry and Mean Current. Procedia IUTAM, 11, 110–118. https://doi.org/10.1016/j.piutam.2014.01.053

Visco-potential flows in electrohydrodynamics

Physics Letters A / May 01, 2014

Hunt, M., & Dutykh, D. (2014). Visco-potential flows in electrohydrodynamics. Physics Letters A, 378(24–25), 1721–1726. https://doi.org/10.1016/j.physleta.2014.04.025

Boussinesq modeling of surface waves due to underwater landslides

Nonlinear Processes in Geophysics / May 03, 2013

Dutykh, D., & Kalisch, H. (2013). Boussinesq modeling of surface waves due to underwater landslides. Nonlinear Processes in Geophysics, 20(3), 267–285. https://doi.org/10.5194/npg-20-267-2013

Camassa–Holm Type Equations for Axisymmetric Poiseuille Pipe Flows

Procedia IUTAM / Jan 01, 2013

Fedele, F., & Dutykh, D. (2013). Camassa–Holm Type Equations for Axisymmetric Poiseuille Pipe Flows. Procedia IUTAM, 9, 16–24. https://doi.org/10.1016/j.piutam.2013.09.003

Extreme wave runup on a vertical cliff

Geophysical Research Letters / Jun 25, 2013

Carbone, F., Dutykh, D., Dudley, J. M., & Dias, F. (2013). Extreme wave runup on a vertical cliff. Geophysical Research Letters, 40(12), 3138–3143. Portico. https://doi.org/10.1002/grl.50637

Fast accurate computation of the fully nonlinear solitary surface gravity waves

Computers & Fluids / Sep 01, 2013

Clamond, D., & Dutykh, D. (2013). Fast accurate computation of the fully nonlinear solitary surface gravity waves. Computers & Fluids, 84, 35–38. https://doi.org/10.1016/j.compfluid.2013.05.010

On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations

Studies in Applied Mathematics / May 23, 2013

Duran, A., Dutykh, D., & Mitsotakis, D. (2013). On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations. Studies in Applied Mathematics, 131(4), 359–388. Portico. https://doi.org/10.1111/sapm.12015

On the use of the finite fault solution for tsunami generation problems

Theoretical and Computational Fluid Dynamics / Mar 08, 2012

Dutykh, D., Mitsotakis, D., Gardeil, X., & Dias, F. (2012). On the use of the finite fault solution for tsunami generation problems. Theoretical and Computational Fluid Dynamics, 27(1–2), 177–199. https://doi.org/10.1007/s00162-011-0252-8

Vortexons in axisymmetric Poiseuille pipe flows

EPL (Europhysics Letters) / Feb 01, 2013

Fedele, F., & Dutykh, D. (2013). Vortexons in axisymmetric Poiseuille pipe flows. EPL (Europhysics Letters), 101(3), 34003. https://doi.org/10.1209/0295-5075/101/34003

On the contribution of the horizontal sea-bed displacements into the tsunami generation process

Ocean Modelling / Oct 01, 2012

Dutykh, D., Mitsotakis, D., Chubarov, L. B., & Shokin, Y. I. (2012). On the contribution of the horizontal sea-bed displacements into the tsunami generation process. Ocean Modelling, 56, 43–56. https://doi.org/10.1016/j.ocemod.2012.07.002

Simulation of surface waves generated by an underwater landslide in a bounded reservoir

Russian Journal of Numerical Analysis and Mathematical Modelling / Jan 01, 2012

Beizel, S. A., Chubarov, L. B., Dutykh, D., Khakimzyanov, G. S., & Shokina, N. Yu. (2012). Simulation of surface waves generated by an underwater landslide in a bounded reservoir. Russian Journal of Numerical Analysis and Mathematical Modelling, 27(6). https://doi.org/10.1515/rnam-2012-0031

Special solutions to a compact equation for deep-water gravity waves

Journal of Fluid Mechanics / Oct 16, 2012

Fedele, F., & Dutykh, D. (2012). Special solutions to a compact equation for deep-water gravity waves. Journal of Fluid Mechanics, 712, 646–660. https://doi.org/10.1017/jfm.2012.447

Dispersive wave runup on non-uniform shores

Finite Volumes for Complex Applications VI Problems & Perspectives / Jan 01, 2011

Dutykh, D., Katsaounis, T., & Mitsotakis, D. (2011). Dispersive wave runup on non-uniform shores. In Springer Proceedings in Mathematics (pp. 389–397). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_41

Mathematical Modeling of Powder‐Snow Avalanche Flows

Studies in Applied Mathematics / Feb 28, 2011

Dutykh, D., Acary‐Robert, C., & Bresch, D. (2011). Mathematical Modeling of Powder‐Snow Avalanche Flows. Studies in Applied Mathematics, 127(1), 38–66. Portico. https://doi.org/10.1111/j.1467-9590.2010.00511.x

Shallow water equations for large bathymetry variations

Journal of Physics A: Mathematical and Theoretical / Jul 22, 2011

Dutykh, D., & Clamond, D. (2011). Shallow water equations for large bathymetry variations. Journal of Physics A: Mathematical and Theoretical, 44(33), 332001. https://doi.org/10.1088/1751-8113/44/33/332001

Two-Fluid Barotropic Models for Powder-Snow Avalanche Flows

Notes on Numerical Fluid Mechanics and Multidisciplinary Design / Jan 01, 2011

Meyapin, Y., Dutykh, D., & Gisclon, M. (2011). Two-Fluid Barotropic Models for Powder-Snow Avalanche Flows. In Computational Science and High Performance Computing IV (pp. 219–232). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-17770-5_17

A two-fluid model for violent aerated flows

Computers & Fluids / Feb 01, 2010

Dias, F., Dutykh, D., & Ghidaglia, J.-M. (2010). A two-fluid model for violent aerated flows. Computers & Fluids, 39(2), 283–293. https://doi.org/10.1016/j.compfluid.2009.09.005

Influence of sedimentary layering on tsunami generation

Computer Methods in Applied Mechanics and Engineering / Apr 01, 2010

Dutykh, D., & Dias, F. (2010). Influence of sedimentary layering on tsunami generation. Computer Methods in Applied Mechanics and Engineering, 199(21–22), 1268–1275. https://doi.org/10.1016/j.cma.2009.07.011

On the relevance of the dam break problem in the context of nonlinear shallow water equations

Discrete & Continuous Dynamical Systems - B / Jan 01, 2010

Dutykh, D., & Mitsotakis, D. (2010). On the relevance of the dam break problem in the context of nonlinear shallow water equations. Discrete & Continuous Dynamical Systems - B, 13(4), 799–818. https://doi.org/10.3934/dcdsb.2010.13.799

Velocity and Energy Relaxation in Two-Phase Flows

Studies in Applied Mathematics / Mar 01, 2010

Meyapin, Y., Dutykh, D., & Gisclon, M. (2010). Velocity and Energy Relaxation in Two-Phase Flows. Studies in Applied Mathematics. https://doi.org/10.1111/j.1467-9590.2010.00484.x

Group and phase velocities in the free-surface visco-potential flow: New kind of boundary layer induced instability

Physics Letters A / Aug 01, 2009

Dutykh, D. (2009). Group and phase velocities in the free-surface visco-potential flow: New kind of boundary layer induced instability. Physics Letters A, 373(36), 3212–3216. https://doi.org/10.1016/j.physleta.2009.07.029

How Does Sedimentary Layering Affect the Generation of Tsunamis?

Volume 6: Materials Technology; C.C. Mei Symposium on Wave Mechanics and Hydrodynamics; Offshore Measurement and Data Interpretation / Jan 01, 2009

Dutykh, D., & Dias, F. (2009, January 1). How Does Sedimentary Layering Affect the Generation of Tsunamis? Volume 6: Materials Technology; C.C. Mei Symposium on Wave Mechanics and Hydrodynamics; Offshore Measurement and Data Interpretation. https://doi.org/10.1115/omae2009-79767

Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting

Mathematics and Computers in Simulation / Dec 01, 2009

Dutykh, D., & Dias, F. (2009). Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting. Mathematics and Computers in Simulation, 80(4), 837–848. https://doi.org/10.1016/j.matcom.2009.08.036

Simulation of Free Surface Compressible Flows via a Two Fluid Model

Volume 6: Nick Newman Symposium on Marine Hydrodynamics; Yoshida and Maeda Special Symposium on Ocean Space Utilization; Special Symposium on Offshore Renewable Energy / Jan 01, 2008

Dias, F., Dutykh, D., & Ghidaglia, J.-M. (2008, January 1). Simulation of Free Surface Compressible Flows via a Two Fluid Model. Volume 6: Nick Newman Symposium on Marine Hydrodynamics; Yoshida and Maeda Special Symposium on Ocean Space Utilization; Special Symposium on Offshore Renewable Energy. https://doi.org/10.1115/omae2008-57060

DYNAMICS OF TSUNAMI WAVES

NATO Security through Science Series

Dias, F., & Dutykh, D. (n.d.). DYNAMICS OF TSUNAMI WAVES. In Extreme Man-Made and Natural Hazards in Dynamics of Structures (pp. 201–224). Springer Netherlands. https://doi.org/10.1007/978-1-4020-5656-7_8

Education

École Normale Supérieure Paris-Saclay

PhD, Centre de Mathématiques et de Leurs Applications / December, 2007

Cachan

Experience

Centre National de la Recherche Scientifique

Research scientist / October, 2008August, 2022

Professional scientific research in the field of Applied Mathematics

Khalifa University of Science and Technology

Associate Professor / August, 2022Present

Professional research and educational activities in the field of Applied Mathematics

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