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
2007
The VOLNA code for the numerical modeling of tsunami waves: Generation, propagation and inundation
European Journal of Mechanics - B/Fluids
2011
Finite volume schemes for dispersive wave propagation and runup
Journal of Computational Physics
2011
Water waves generated by a moving bottom
Tsunami and Nonlinear Waves
The Whitham Equation as a model for surface water waves
Physica D: Nonlinear Phenomena
2015
Viscous potential free-surface flows in a fluid layer of finite depth
Comptes Rendus. Mathématique
2007
Linear theory of wave generation by a moving bottom
Comptes Rendus. Mathématique
2006
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
European Journal of Applied Mathematics
2013
Dissipative Boussinesq equations
Comptes Rendus. Mécanique
2007
Energy of tsunami waves generated by bottom motion
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2008
Numerical simulation of a solitonic gas in KdV and KdV–BBM equations
Physics Letters A
2014
Efficient computation of steady solitary gravity waves
Wave Motion
2014
On the Galerkin/Finite-Element Method for the Serre Equations
Journal of Scientific Computing
2014
Conservative modified Serre–Green–Naghdi equations with improved dispersion characteristics
Communications in Nonlinear Science and Numerical Simulation
2017
Visco-potential free-surface flows and long wave modelling
European Journal of Mechanics - B/Fluids
2009
Practical use of variational principles for modeling water waves
Physica D: Nonlinear Phenomena
2012
Finite volume methods for unidirectional dispersive wave models
International Journal for Numerical Methods in Fluids
2012
Local Run-Up Amplification by Resonant Wave Interactions
Physical Review Letters
2011
Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space
Communications in Computational Physics
2018
Geometric numerical schemes for the KdV equation
Computational Mathematics and Mathematical Physics
2013
Influence of Biaxial Stress on Magnetic Behavior of Hot-Rolled Steels
Research and Review Journal of Nondestructive Testing
2023
Nonlinear waves in networks: Model reduction for the sine-Gordon equation
Physical Review E
2014
Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models
Communications in Computational Physics
2020
Dispersive Shallow Water Waves
Lecture Notes in Geosystems Mathematics and Computing
2020
Long Wave Run-Up on Random Beaches
Physical Review Letters
2011
Emergence of coherent wave groups in deep-water random sea
Physical Review E
2013
Invariant conservation law-preserving discretizations of linear and nonlinear wave equations
Journal of Mathematical Physics
2020
Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry
Communications in Computational Physics
2018
Hamiltonian form and solitary waves of the spatial Dysthe equations
JETP Letters
2012
ArXiv preprint server plans multimillion-dollar overhaul
Nature
2016
MIMO Systems with Intentional Timing Offset
EURASIP Journal on Advances in Signal Processing
2011
Aspects de la modélisation numérique des tsunamis
Edition 2, Tanger, Maroc
2011
On the multi-symplectic structure of the Serre–Green–Naghdi equations
Journal of Physics A: Mathematical and Theoretical
2015
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
Communications in Mathematical Sciences
2018
Dispersive waves generated by an underwater landslide
Numerical Methods for Hyperbolic Equations
2012
Peregrine’s System Revisited
Nonlinear Waves and Pattern Dynamics
2018
Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry
Communications in Computational Physics
2018
Numerical Modelling of Surface Water Wave Interaction with a Moving Wall
Communications in Computational Physics
2018
Run-up amplification of transient long waves
Quarterly of Applied Mathematics
2015
Solitary wave interaction in a compact equation for deep-water gravity waves
JETP Letters
2012
Supervised dimensionality reduction technique accounting for soft classes
ESANN 2022 proceedings
2022
Mathematical modeling of exercise fatigability in the severe domain: A unifying integrative framework in isokinetic condition
Journal of Theoretical Biology
2024
Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations
Partial Differential Equations in Applied Mathematics
2023
NEOLAB: A Scilab tool to simulate the Negative Electrode of Lead-Acid Batteries
SoftwareX
2023
Theoretical Investigation Applied to Scattering Water Waves by Rectangular Submerged Obstacles/and Submarine Trenches
Geosciences
2022
Coupled and Synchronization Models of Rhythmic Arm Movement in Planar Plane
Bioengineering
2022
MING: An interpretative support method for visual exploration of multidimensional data
Information Visualization
2022
Flight Trajectories Optimization of Fixed-Wing UAV by Bank-Turn Mechanism
Drones
2022
Fast shallow water-wave solver for plane inclined beaches
SoftwareX
2022
Regional tsunami hazard from splay faults in the Gulf of Oman
Ocean Engineering
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
2022
Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank
Geosciences
2021
Ecological Risk Indicators for Leached Heavy Metals from Coal Ash Generated at a Malaysian Power Plant
Sustainability
2021
Numerical Stability Investigations of the Method of Fundamental Solutions Applied to Wave-Current Interactions Using Generating-Absorbing Boundary Conditions
Symmetry
2021
On Galilean Invariant and Energy Preserving BBM-Type Equations
Symmetry
2021
Derivation of a Viscous Serre–Green–Naghdi Equation: An Impasse?
Fluids
2021
Numerical Modeling of Jet at the Bottom of Tank at Moderate Reynolds Number Using Compact Hermitian Finite Differences Method
Fluids
2021
ASSESSING THE FREQUENCY DISPERSION INFLUENCE ON THE SOLITARY-WAVE INTERACTION WITH A CONSTANT SLOPING BEACH
Journal of Applied Mechanics and Technical Physics
2021
Alphabets, rewriting trails and periodic representations in algebraic bases
Research in Number Theory
2021
Comparison of ground deformation due to movement of a fault for different types of crack surface
GEM - International Journal on Geomathematics
2021
Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution
Water Waves
2020
Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction
Differential Geometry, Differential Equations, and Mathematical Physics
2020
An Analytical Study on Wave-Current-Mud Interaction
Water
2020
A Review of Tsunami Hazards in the Makran Subduction Zone
Geosciences
2020
Adaptive Numerical Modeling of Tsunami Wave Generation and Propagation with FreeFem++
Geosciences
2020
Adaptive Numerical Modelling of Tsunami Wave Generation and Propagation with FreeFem++
Unknown Venue
2020
Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations
Symmetry
2020
Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations
Unknown Venue
2020
Extreme Inundation Statistics on a Composite Beach
Water
2020
Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution
Unknown Venue
2020
Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations
Unknown Venue
2020
Resonance Enhancement by Suitably Chosen Frequency Detuning
Mathematics
2020
Resonance Enhancement by Suitably Chosen Frequency Detuning
Unknown Venue
2020
A Computational Simulation of Steady Natural Convection in an H-Form Cavity
Software Engineering Perspectives in Intelligent Systems
2020
An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation
Computer Physics Communications
2020
Comparison of Dispersive and Nondispersive Models for Wave Run-Up on a Beach
Izvestiya, Atmospheric and Oceanic Physics
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
2020
Dispersive Effects During Long Wave Run-up on a Plane Beach
Advances in Natural Hazards and Hydrological Risks: Meeting the Challenge
2020
Experimental and numerical study of the propagation of focused wave groups in the nearshore zone
Physics Letters A
2020
Horizontal displacement effect in tsunami wave generation in the western Makran region
Journal of Ocean Engineering and Marine Energy
2020
Learning extreme wave run-up conditions
Applied Ocean Research
2020
Model Derivation on a Globally Flat Space
Dispersive Shallow Water Waves
2020
Model Derivation on a Globally Spherical Geometry
Dispersive Shallow Water Waves
2020
Numerical Simulation on a Globally Flat Space
Dispersive Shallow Water Waves
2020
Numerical Simulation on a Globally Spherical Geometry
Dispersive Shallow Water Waves
2020
On the comparison of three numerical methods applied to building simulation: Finite-differences, RC circuit approximation and a spectral method
Building Simulation
2019
PREFACE
Kievan Christianity: The Tenth to the Thirteenth Centuries
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
2020
Tsunami hazard assessment in the Makran subduction zone
Natural Hazards
2020
Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution
Unknown Venue
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
2019
Hamiltonian regularisation of shallow water equations with uneven bottom
Journal of Physics A: Mathematical and Theoretical
2019
Numerical Simulation of Feller's Diffusion Equation
Unknown Venue
2019
Numerical Simulation of Conservation Laws with Moving Grid Nodes: Application to Tsunami Wave Modelling
Geosciences
2019
Coupling Conditions for Water Waves at Forks
Symmetry
2019
On the velocity of turbidity currents over moderate slopes
Fluid Dynamics Research
2019
On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties
Physica D: Nonlinear Phenomena
2019
A comparative study of bi-directional Whitham systems
Applied Numerical Mathematics
2019
A new model for simulating heat, air and moisture transport in porous building materials
International Journal of Heat and Mass Transfer
2019
A spectral method for solving heat and moisture transfer through consolidated porous media
International Journal for Numerical Methods in Engineering
2018
An efficient method to estimate sorption isotherm curve coefficients
Inverse Problems in Science and Engineering
2018
An efficient numerical model for liquid water uptake in porous material and its parameter estimation
Numerical Heat Transfer, Part A: Applications
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
2019
Effects of vorticity on the travelling waves of some shallow water two-component systems
Discrete & Continuous Dynamical Systems - A
2019
Evaluation of the reliability of building energy performance models for parameter estimation
Вычислительные технологии
2019
Interpreting Distortions in Dimensionality Reduction by Superimposing Neighbourhood Graphs
2019 IEEE Visualization Conference (VIS)
2019
Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions
Natural Hazards and Earth System Sciences
2019
Numerical Methods for Diffusion Phenomena in Building Physics
Unknown Venue
2019
Numerical Simulation of Feller’s Diffusion Equation
Mathematics
2019
On some model equations for pulsatile flow in viscoelastic vessels
Wave Motion
2019
On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization
Physica D: Nonlinear Phenomena
2019
On time relaxed schemes and formulations for dispersive wave equations
AIMS Mathematics
2019
Solving nonlinear diffusive problems in buildings by means of a Spectral reduced-order model
Journal of Building Performance Simulation
2018
On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials
Arnold Mathematical Journal
2018
Wave dynamics on networks: Method and application to the sine-Gordon equation
Applied Numerical Mathematics
2018
Analysis and improvement of the VTT mold growth model: Application to bamboo fiberboard
Building and Environment
2018
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
Computers & Mathematics with Applications
2018
On the modelling of shallow turbidity flows
Advances in Water Resources
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
2018
Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth
Journal of Fluid Mechanics
2018
Advanced Reduced-Order Models for Moisture Diffusion in Porous Media
Transport in Porous Media
2018
An adaptive simulation of nonlinear heat and moisture transfer as a boundary value problem
International Journal of Thermal Sciences
2018
An improved explicit scheme for whole-building hygrothermal simulation
Building Simulation
2017
Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space
Communications in Computational Physics
2018
Evaluation of tsunami wave energy generated by earthquakes in the Makran subduction zone
Ocean Engineering
2018
Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations)
Communications in Nonlinear Science and Numerical Simulation
2018
On the Solution of Coupled Heat and Moisture Transport in Porous Material
Transport in Porous Media
2017
Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
Theoretical and Computational Fluid Dynamics
2018
Some special solutions to the Hyperbolic NLS equation
Communications in Nonlinear Science and Numerical Simulation
2018
Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials
Journal of Building Performance Simulation
2017
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Journal of Computational and Applied Mathematics
2017
On weakly singular and fully nonlinear travelling shallow capillary–gravity waves in the critical regime
Physics Letters A
2017
On the nonlinear dynamics of the traveling-wave solutions of the Serre system
Wave Motion
2017
Accurate numerical simulation of moisture front in porous material
Building and Environment
2017
New asymptotic heat transfer model in thin liquid films
Applied Mathematical Modelling
2017
On the optimal experiment design for heat and moisture parameter estimation
Experimental Thermal and Fluid Science
2017
Serre-type Equations in Deep Water
Mathematical Modelling of Natural Phenomena
2017
The Whitham equation with surface tension
Nonlinear Dynamics
2017
Numerical methods for diffusion phenomena in building physics: a practical introduction
Unknown Venue
2016
Modified shallow water equations for significantly varying seabeds
Applied Mathematical Modelling
2016
Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
Mathematics and Computers in Simulation
2016
Efficient computation of capillary–gravity generalised solitary waves
Wave Motion
2016
A new run-up algorithm based on local high-order analytic expansions
Journal of Computational and Applied Mathematics
2016
Algebraic method for constructing singular steady solitary waves: a case study
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2016
Macroscopic dynamics of incoherent soliton ensembles: Soliton gas kinetics and direct numerical modelling
EPL (Europhysics Letters)
2016
Modeling Water Waves Beyond Perturbations
New Approaches to Nonlinear Waves
2016
Multi-symplectic structure of fully nonlinear weakly dispersive internal gravity waves
Journal of Physics A: Mathematical and Theoretical
2016
Travelling wave solutions for some two-component shallow water models
Journal of Differential Equations
2016
Numerical study of the generalised Klein–Gordon equations
Physica D: Nonlinear Phenomena
2015
Direct dynamical energy cascade in the modified KdV equation
Physica D: Nonlinear Phenomena
2015
A plethora of generalised solitary gravity–capillary water waves
Journal of Fluid Mechanics
2015
Computer Algebra Applied to a Solitary Waves Study
Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation
2015
Numerical Simulation of Wave Impact on a Rigid Wall Using a Two–phase Compressible SPH Method
Procedia IUTAM
2015
Camassa–Holm equations and vortexons for axisymmetric pipe flows
Fluid Dynamics Research
2013
Energy equation for certain approximate models of long-wave hydrodynamics
Russian Journal of Numerical Analysis and Mathematical Modelling
2014
Evolution of Random Wave Fields in the Water of Finite Depth
Procedia IUTAM
2014
Generation of 2D water waves by moving bottom disturbances
IMA Journal of Applied Mathematics
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
2014
Observation of the inverse energy cascade in the modified Korteweg-de Vries equation
EPL (Europhysics Letters)
2014
On the Modelling of Tsunami Generation and Tsunami Inundation
Procedia IUTAM
2014
The Conformal-mapping Method for Surface Gravity Waves in the Presence of Variable Bathymetry and Mean Current
Procedia IUTAM
2014
Visco-potential flows in electrohydrodynamics
Physics Letters A
2014
Boussinesq modeling of surface waves due to underwater landslides
Nonlinear Processes in Geophysics
2013
Camassa–Holm Type Equations for Axisymmetric Poiseuille Pipe Flows
Procedia IUTAM
2013
Extreme wave runup on a vertical cliff
Geophysical Research Letters
2013
Fast accurate computation of the fully nonlinear solitary surface gravity waves
Computers & Fluids
2013
On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations
Studies in Applied Mathematics
2013
On the use of the finite fault solution for tsunami generation problems
Theoretical and Computational Fluid Dynamics
2012
Vortexons in axisymmetric Poiseuille pipe flows
EPL (Europhysics Letters)
2013
On the contribution of the horizontal sea-bed displacements into the tsunami generation process
Ocean Modelling
2012
Simulation of surface waves generated by an underwater landslide in a bounded reservoir
Russian Journal of Numerical Analysis and Mathematical Modelling
2012
Special solutions to a compact equation for deep-water gravity waves
Journal of Fluid Mechanics
2012
Dispersive wave runup on non-uniform shores
Finite Volumes for Complex Applications VI Problems & Perspectives
2011
Mathematical Modeling of Powder‐Snow Avalanche Flows
Studies in Applied Mathematics
2011
Shallow water equations for large bathymetry variations
Journal of Physics A: Mathematical and Theoretical
2011
Two-Fluid Barotropic Models for Powder-Snow Avalanche Flows
Notes on Numerical Fluid Mechanics and Multidisciplinary Design
2011
A two-fluid model for violent aerated flows
Computers & Fluids
2010
Influence of sedimentary layering on tsunami generation
Computer Methods in Applied Mechanics and Engineering
2010
On the relevance of the dam break problem in the context of nonlinear shallow water equations
Discrete & Continuous Dynamical Systems - B
2010
Velocity and Energy Relaxation in Two-Phase Flows
Studies in Applied Mathematics
2010
Group and phase velocities in the free-surface visco-potential flow: New kind of boundary layer induced instability
Physics Letters A
2009
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
2009
Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting
Mathematics and Computers in Simulation
2009
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
2008
DYNAMICS OF TSUNAMI WAVES
NATO Security through Science Series

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

Links & Social Media

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