Work with thought leaders and academic experts in Numerical Analysis
Companies can benefit from working with Numerical Analysis experts in several ways. These researchers can help optimize processes, solve complex problems, and improve decision-making through mathematical modeling, algorithm development, and data analysis. They can also assist in developing and implementing numerical methods and algorithms for various applications, such as optimization, simulation, and machine learning. Additionally, their expertise can be valuable in areas like risk assessment, financial modeling, and predictive analytics. Collaborating with these experts can lead to improved efficiency, cost savings, and competitive advantage.
Researchers on NotedSource with backgrounds in Numerical Analysis include Dmitry Batenkov, Ph.D., Hector Klie, Tim Leung, Baidurya Bhattacharya, Oguzhan Kulekci, David Blanchett, Denys Dutykh, Dr. Abdussalam Elhanashi, Rameche Candane Somassoundirame, Mohammad Vahab, Asst. Prof. Eng. Davide Verzotto, Ph.D., and Dr. Richard Vasques, Ph.D.
Dmitry Batenkov, Ph.D.
A highly experienced applied mathematician working in academia (faculty) and industry (consulting), with 15+ years of research and teaching expertise in inverse problems, signal processing, and data science.
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50 total publications
Super-resolution of near-colliding point sources
Information and Inference: A Journal of the IMA / May 11, 2020
Batenkov, D., Goldman, G., & Yomdin, Y. (2020). Super-resolution of near-colliding point sources. Information and Inference: A Journal of the IMA, 10(2), 515–572. https://doi.org/10.1093/imaiai/iaaa005
The spectral properties of Vandermonde matrices with clustered nodes
Linear Algebra and its Applications / Jan 01, 2021
Batenkov, D., Diederichs, B., Goldman, G., & Yomdin, Y. (2021). The spectral properties of Vandermonde matrices with clustered nodes. Linear Algebra and Its Applications, 609, 37–72. https://doi.org/10.1016/j.laa.2020.08.034
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Hector Klie
CEO @ DeepCast.ai | AI-driven Industrial Solutions, Technical Innovation
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Other Research Expertise (23)
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81 total publications
A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media
Applied Numerical Mathematics / Jun 01, 2009
Aksoylu, B., & Klie, H. (2009). A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media. Applied Numerical Mathematics, 59(6), 1159–1186. https://doi.org/10.1016/j.apnum.2008.06.002
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Tim Leung
Professor of Applied Mathematics, Computational Finance & Risk Management (CFRM) Program
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Other Research Expertise (21)
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138 total publications
ESO Valuation with Job Termination Risk and Jumps in Stock Price
SIAM Journal on Financial Mathematics / Jan 01, 2015
Leung, T., & Wan, H. (2015). ESO Valuation with Job Termination Risk and Jumps in Stock Price. SIAM Journal on Financial Mathematics, 6(1), 487–516. https://doi.org/10.1137/130937949
Optimal Timing to Purchase Options
SIAM Journal on Financial Mathematics / Jan 01, 2011
Leung, T., & Ludkovski, M. (2011). Optimal Timing to Purchase Options. SIAM Journal on Financial Mathematics, 2(1), 768–793. https://doi.org/10.1137/100809386
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Baidurya Bhattacharya
Computational mechanics, probabilistic risk analysis, statistical inference, Monte Carlo simulations
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Other Research Expertise (43)
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91 total publications
A Probabilistic Model of Flooding Loads on Transverse Watertight Bulkheads in the Event of Hull Damage
Journal of Ship Research / Mar 01, 2005
Bhattacharya, B., Basu, R., & Srinivasan, S. (2005). A Probabilistic Model of Flooding Loads on Transverse Watertight Bulkheads in the Event of Hull Damage. Journal of Ship Research, 49(01), 12–23. https://doi.org/10.5957/jsr.2005.49.1.12
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Oguzhan Kulekci
Algorithm Engineer, Security/Privacy Researcher, Combinatorial Problem Solver
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Other Research Expertise (20)
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61 total publications
A Survey on Shortest Unique Substring Queries
Algorithms / Sep 06, 2020
Abedin, P., Külekci, M., & Thankachan, S. (2020). A Survey on Shortest Unique Substring Queries. Algorithms, 13(9), 224. https://doi.org/10.3390/a13090224
Applications of Non-Uniquely Decodable Codes to Privacy-Preserving High-Entropy Data Representation
Algorithms / Apr 17, 2019
Külekci, M. O., & Öztürk, Y. (2019). Applications of Non-Uniquely Decodable Codes to Privacy-Preserving High-Entropy Data Representation. Algorithms, 12(4), 78. https://doi.org/10.3390/a12040078
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David Blanchett
Current Director - PGIM (Formerly Prudential Investment Management); Adjunct Professor of Finance
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Other Research Expertise (13)
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82 total publications
Optimal Initiation of Guaranteed Lifelong Withdrawal Benefit with Dynamic Withdrawals
SIAM Journal on Financial Mathematics / Jan 01, 2017
Huang, Y. T., Zeng, P., & Kwok, Y. K. (2017). Optimal Initiation of Guaranteed Lifelong Withdrawal Benefit with Dynamic Withdrawals. SIAM Journal on Financial Mathematics, 8(1), 804–840. https://doi.org/10.1137/16m1089575
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Denys Dutykh
Professional Applied Mathematician, Modeller, and Advisor
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Other Research Expertise (50)
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Most Relevant Publications (14+)
186 total publications
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
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
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 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 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
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
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
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
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
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
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
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
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
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Dr. Abdussalam Elhanashi
Researcher at University of Pisa
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28 total publications
An IoT System for Social Distancing and Emergency Management in Smart Cities Using Multi-Sensor Data
Algorithms / Oct 07, 2020
Fedele, R., & Merenda, M. (2020). An IoT System for Social Distancing and Emergency Management in Smart Cities Using Multi-Sensor Data. Algorithms, 13(10), 254. https://doi.org/10.3390/a13100254
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Rameche Candane Somassoundirame
A seasoned mechanical engineer with an in-depth knowledge of computational methods in engineering (CFD, heat transfer, FEA, Structural and Optimization studies).
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16 total publications
Modeling particulate removal in plate-plate and wire-plate electrostatic precipitators
The International Journal of Multiphysics / Jun 01, 2014
Ramechecandane, S., Beghein, C., & Eswari, N. (2014). Modeling particulate removal in plate-plate and wire-plate electrostatic precipitators. The International Journal of Multiphysics, 8(2), 145–168. https://doi.org/10.1260/1750-9548.8.2.145
Numerical analysis of a divergent duct with high enthalpy transonic cross injection
The International Journal of Multiphysics / Mar 01, 2012
Ramechecandane, S., Balaji, C., & Venkateshan, S. (2012). Numerical analysis of a divergent duct with high enthalpy transonic cross injection. The International Journal of Multiphysics, 6(1), 17–28. https://doi.org/10.1260/1750-9548.6.1.17
Modelling Particulate Removal in Tubular Wet Electrostatic Precipitators Using a Modified Drift Flux Model
The International Journal of Multiphysics / Sep 01, 2011
Ramechecandane, S., & Beghein, C. (2011). Modelling Particulate Removal in Tubular Wet Electrostatic Precipitators Using a Modified Drift Flux Model. The International Journal of Multiphysics, 5(3), 243–266. https://doi.org/10.1260/1750-9548.5.3.243
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Mohammad Vahab
Lecturer at University of New South Wales (UNSW)
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34 total publications
An enriched FEM technique for modeling hydraulically driven cohesive fracture propagation in impermeable media with frictional natural faults: Numerical and experimental investigations
International Journal for Numerical Methods in Engineering / Jun 01, 2015
Khoei, A. R., Hirmand, M., Vahab, M., & Bazargan, M. (2015). An enriched FEM technique for modeling hydraulically driven cohesive fracture propagation in impermeable media with frictional natural faults: Numerical and experimental investigations. International Journal for Numerical Methods in Engineering, 104(6), 439–468. Portico. https://doi.org/10.1002/nme.4944
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Asst. Prof. Eng. Davide Verzotto, Ph.D.
Assistant Professor of Computer Science, Centre for Higher Defence Studies (CASD) - School of Advanced Studies, Italian Defence General Staff, Rome
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38 total publications
Editorial: Special Issue on Algorithms for Sequence Analysis and Storage
Algorithms / Mar 25, 2014
Mäkinen, V. (2014). Editorial: Special Issue on Algorithms for Sequence Analysis and Storage. Algorithms, 7(1), 186–187. https://doi.org/10.3390/a7010186
Filtering Degenerate Patterns with Application to Protein Sequence Analysis
Algorithms / May 22, 2013
Comin, M., & Verzotto, D. (2013). Filtering Degenerate Patterns with Application to Protein Sequence Analysis. Algorithms, 6(2), 352–370. https://doi.org/10.3390/a6020352
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Dr. Richard Vasques, Ph.D
Assistant Professor in Nuclear Engineering at The Ohio State University
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Other Research Expertise (18)
Most Relevant Publications (2+)
36 total publications
On the application of the analytical discrete ordinates method to the solution of nonclassical transport problems in slab geometry
Journal of Computational Physics / Apr 01, 2022
Moraes, L. R. C., Barichello, L. B., Barros, R. C., & Vasques, R. (2022). On the application of the analytical discrete ordinates method to the solution of nonclassical transport problems in slab geometry. Journal of Computational Physics, 455, 110982. https://doi.org/10.1016/j.jcp.2022.110982
A spectral approach for solving the nonclassical transport equation
Journal of Computational Physics / Feb 01, 2020
Vasques, R., Moraes, L. R. C., Barros, R. C., & Slaybaugh, R. N. (2020). A spectral approach for solving the nonclassical transport equation. Journal of Computational Physics, 402, 109078. https://doi.org/10.1016/j.jcp.2019.109078
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Example Numerical Analysis projects
How can companies collaborate more effectively with researchers, experts, and thought leaders to make progress on Numerical Analysis?
Optimizing Supply Chain Operations
A Numerical Analysis expert can develop mathematical models and algorithms to optimize supply chain operations, considering factors like demand forecasting, inventory management, and transportation logistics. This can lead to improved efficiency, reduced costs, and better customer satisfaction.
Improving Drug Formulation
Collaborating with a Numerical Analysis researcher can help pharmaceutical companies optimize drug formulation processes. By using mathematical modeling and simulation techniques, they can identify the optimal combination of ingredients, dosage, and delivery methods, leading to improved drug efficacy and reduced development time.
Enhancing Energy Efficiency
Numerical Analysis experts can assist energy companies in optimizing energy production and consumption processes. By developing mathematical models and algorithms, they can identify energy-saving opportunities, optimize resource allocation, and improve overall energy efficiency.
Predictive Maintenance in Manufacturing
Working with a Numerical Analysis researcher, manufacturing companies can develop predictive maintenance models. By analyzing historical data and using machine learning algorithms, they can predict equipment failures, schedule maintenance activities, and minimize downtime, resulting in cost savings and improved productivity.
Risk Assessment in Finance
Collaborating with a Numerical Analysis expert can help financial institutions assess and manage risks. By developing mathematical models and algorithms, they can analyze market trends, evaluate investment portfolios, and quantify risk exposures, enabling informed decision-making and risk mitigation strategies.