Work with thought leaders and academic experts in applied mathematics
Companies can benefit from working with someone whose expertise is in the field of Applied Mathematics in several ways. Applied Mathematics researchers can help companies solve complex problems by applying mathematical models and algorithms. They can also assist in data analysis and provide insights for making data-driven decisions. Additionally, they can develop optimization algorithms to improve efficiency and reduce costs. Applied Mathematics experts can also contribute to the development of predictive models for forecasting market trends and optimizing business strategies. Overall, collaborating with an Applied Mathematics researcher can provide companies with a competitive edge and help them leverage the power of data.
Researchers on NotedSource with backgrounds in applied mathematics include Michael Sebek, PhD.Heydy Castillejos, Ping Luo, Tyler Ransom, Edoardo Airoldi, Jeffrey Townsend, Ryan Howell, Tim Osswald, Jo Boaler, Dmitry Batenkov, Ph.D., Osaye Fadekemi, PhD, Prof. Anantha Padmanabhan Kuppuswamy, PhD, ScD (Cambridge), Dr. KEHINDE ADEWALE ADESINA, Ph.D, and Denys Dutykh.
Michael Sebek
Northeastern University
Most Relevant Research Interests
Other Research Interests (6)
About
Most Relevant Publications (4+)
22 total publications
Synchronization of three electrochemical oscillators: From local to global coupling
Chaos: An Interdisciplinary Journal of Nonlinear Science / Apr 01, 2018
Liu, Y., Sebek, M., Mori, F., & Kiss, I. Z. (2018). Synchronization of three electrochemical oscillators: From local to global coupling. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(4). https://doi.org/10.1063/1.5012520
Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment
Chaos: An Interdisciplinary Journal of Nonlinear Science / Jun 01, 2017
Zou, W., Sebek, M., Kiss, I. Z., & Kurths, J. (2017). Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27(6). https://doi.org/10.1063/1.4984927
Plasticity facilitates pattern selection of networks of chemical oscillations
Chaos: An Interdisciplinary Journal of Nonlinear Science / Aug 01, 2019
Sebek, M., & Kiss, I. Z. (2019). Plasticity facilitates pattern selection of networks of chemical oscillations. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(8). https://doi.org/10.1063/1.5109784
Finding influential nodes in networks using pinning control: Centrality measures confirmed with electrochemical oscillators
Chaos: An Interdisciplinary Journal of Nonlinear Science / Sep 01, 2023
Bomela, W., Sebek, M., Nagao, R., Singhal, B., Kiss, I. Z., & Li, J.-S. (2023). Finding influential nodes in networks using pinning control: Centrality measures confirmed with electrochemical oscillators. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(9). https://doi.org/10.1063/5.0163899
See Full Profile
PhD.Heydy Castillejos
Research professor, Universidad Autónoma del Estado de Hidalgo
Most Relevant Research Interests
Other Research Interests (10)
About
Most Relevant Publications (1+)
15 total publications
Wavelet Transform Fuzzy Algorithms for Dermoscopic Image Segmentation
Computational and Mathematical Methods in Medicine / Jan 01, 2012
Castillejos, H., Ponomaryov, V., Nino-de-Rivera, L., & Golikov, V. (2012). Wavelet Transform Fuzzy Algorithms for Dermoscopic Image Segmentation. Computational and Mathematical Methods in Medicine, 2012, 1–11. https://doi.org/10.1155/2012/578721
See Full Profile
Ping Luo
Bioinformatics Specialist at Princess Margaret Cancer Centre with experience in deep learning
Most Relevant Research Interests
Other Research Interests (21)
About
Most Relevant Publications (3+)
23 total publications
Disease Gene Prediction by Integrating PPI Networks, Clinical RNA-Seq Data and OMIM Data
IEEE/ACM Transactions on Computational Biology and Bioinformatics / Jan 01, 2019
Luo, P., Tian, L.-P., Ruan, J., & Wu, F.-X. (2019). Disease Gene Prediction by Integrating PPI Networks, Clinical RNA-Seq Data and OMIM Data. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 16(1), 222–232. https://doi.org/10.1109/tcbb.2017.2770120
Identifying cell types from single-cell data based on similarities and dissimilarities between cells
BMC Bioinformatics / May 01, 2021
Li, Y., Luo, P., Lu, Y., & Wu, F.-X. (2021). Identifying cell types from single-cell data based on similarities and dissimilarities between cells. BMC Bioinformatics, 22(S3). https://doi.org/10.1186/s12859-020-03873-z
Ensemble disease gene prediction by clinical sample-based networks
BMC Bioinformatics / Mar 01, 2020
Luo, P., Tian, L.-P., Chen, B., Xiao, Q., & Wu, F.-X. (2020). Ensemble disease gene prediction by clinical sample-based networks. BMC Bioinformatics, 21(S2). https://doi.org/10.1186/s12859-020-3346-8
See Full Profile
Tyler Ransom
Associate Professor of Economics at the University of Oklahoma
Most Relevant Research Interests
Other Research Interests (14)
About
Most Relevant Publications (1+)
15 total publications
Understanding migration aversion using elicited counterfactual choice probabilities
Journal of Econometrics / Nov 01, 2022
Koşar, G., Ransom, T., & van der Klaauw, W. (2022). Understanding migration aversion using elicited counterfactual choice probabilities. Journal of Econometrics, 231(1), 123–147. https://doi.org/10.1016/j.jeconom.2020.07.056
See Full Profile
Edoardo Airoldi
Professor of Statistics & Data Science Temple University & PI, Harvard University
Most Relevant Research Interests
Other Research Interests (43)
About
Most Relevant Publications (5+)
106 total publications
Stochastic blockmodels with a growing number of classes
Biometrika / Apr 17, 2012
Choi, D. S., Wolfe, P. J., & Airoldi, E. M. (2012). Stochastic blockmodels with a growing number of classes. Biometrika, 99(2), 273–284. https://doi.org/10.1093/biomet/asr053
Model-assisted design of experiments in the presence of network-correlated outcomes
Biometrika / Aug 06, 2018
Basse, G. W., & Airoldi, E. M. (2018). Model-assisted design of experiments in the presence of network-correlated outcomes. Biometrika, 105(4), 849–858. https://doi.org/10.1093/biomet/asy036
Testing for arbitrary interference on experimentation platforms
Biometrika / Sep 30, 2019
Pouget-Abadie, J., Saint-Jacques, G., Saveski, M., Duan, W., Ghosh, S., Xu, Y., & Airoldi, E. M. (2019). Testing for arbitrary interference on experimentation platforms. Biometrika, 106(4), 929–940. https://doi.org/10.1093/biomet/asz047
Who wrote Ronald Reagan's radio addresses?
Bayesian Analysis / Jun 01, 2006
Airoldi, E. M., Anderson, A. G., Fienberg, S. E., & Skinner, K. K. (2006). Who wrote Ronald Reagan’s radio addresses? Bayesian Analysis, 1(2). https://doi.org/10.1214/06-ba110
A Network Analysis Model for Disambiguation of Names in Lists
Computational and Mathematical Organization Theory / Jul 01, 2005
Malin, B., Airoldi, E., & Carley, K. M. (2005). A Network Analysis Model for Disambiguation of Names in Lists. Computational and Mathematical Organization Theory, 11(2), 119–139. https://doi.org/10.1007/s10588-005-3940-3
See Full Profile
Jeffrey Townsend
Professor of Biostatistics and Ecology & Evolutionary Biology
Most Relevant Research Interests
Other Research Interests (52)
About
Most Relevant Publications (2+)
207 total publications
Identifying modules of cooperating cancer drivers
Molecular Systems Biology / Mar 01, 2021
Klein, M. I., Cannataro, V. L., Townsend, J. P., Newman, S., Stern, D. F., & Zhao, H. (2021). Identifying modules of cooperating cancer drivers. Molecular Systems Biology, 17(3). Portico. https://doi.org/10.15252/msb.20209810
Codon Deviation Coefficient: a novel measure for estimating codon usage bias and its statistical significance
BMC Bioinformatics / Mar 22, 2012
Zhang, Z., Li, J., Cui, P., Ding, F., Li, A., Townsend, J. P., & Yu, J. (2012). Codon Deviation Coefficient: a novel measure for estimating codon usage bias and its statistical significance. BMC Bioinformatics, 13(1). https://doi.org/10.1186/1471-2105-13-43
See Full Profile
Ryan Howell
Professor of Psychology, Department of Psychology, San Francisco State University
Most Relevant Research Interests
Other Research Interests (33)
About
Most Relevant Publications (1+)
66 total publications
The File Drawer Problem in Reliability Generalization
Educational and Psychological Measurement / Jun 06, 2007
Howell, R. T., & Shields, A. L. (2007). The File Drawer Problem in Reliability Generalization. Educational and Psychological Measurement, 68(1), 120–128. https://doi.org/10.1177/0013164407301528
See Full Profile
Tim Osswald
Polymers Professor - University of Wisconsin
Most Relevant Research Interests
Other Research Interests (44)
About
Most Relevant Publications (2+)
117 total publications
Boundary integral equations for analyzing the flow of a chopped fiber reinforced polymer compound in compression molding
Journal of Non-Newtonian Fluid Mechanics / Jan 01, 1987
Barone, M. R., & Osswald, T. A. (1987). Boundary integral equations for analyzing the flow of a chopped fiber reinforced polymer compound in compression molding. Journal of Non-Newtonian Fluid Mechanics, 26(2), 185–206. https://doi.org/10.1016/0377-0257(87)80004-6
Analysis of fiber damage mechanisms during processing of reinforced polymer melts
Engineering Analysis with Boundary Elements / Jul 01, 2002
Hernandez, J. P., Raush, T., Rios, A., Strauss, S., & Osswald, T. A. (2002). Analysis of fiber damage mechanisms during processing of reinforced polymer melts. Engineering Analysis with Boundary Elements, 26(7), 621–628. https://doi.org/10.1016/s0955-7997(02)00018-8
See Full Profile
Jo Boaler
Professor of Mathematics Education, Stanford University
Most Relevant Research Interests
Other Research Interests (29)
About
Most Relevant Publications (3+)
81 total publications
Mathematics from Another World: Traditional Communities and the Alienation of Learners
The Journal of Mathematical Behavior / Jun 01, 2000
Boaler, J. (2000). Mathematics from Another World: Traditional Communities and the Alienation of Learners. The Journal of Mathematical Behavior, 18(4), 379–397. https://doi.org/10.1016/s0732-3123(00)00026-2
The many colors of algebra: The impact of equity focused teaching upon student learning and engagement
The Journal of Mathematical Behavior / Mar 01, 2016
Boaler, J., & Sengupta-Irving, T. (2016). The many colors of algebra: The impact of equity focused teaching upon student learning and engagement. The Journal of Mathematical Behavior, 41, 179–190. https://doi.org/10.1016/j.jmathb.2015.10.007
Designing mathematics classes to promote equity and engagement
The Journal of Mathematical Behavior / Mar 01, 2016
Boaler, J. (2016). Designing mathematics classes to promote equity and engagement. The Journal of Mathematical Behavior, 41, 172–178. https://doi.org/10.1016/j.jmathb.2015.01.002
See Full Profile
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.
Most Relevant Research Interests
Other Research Interests (30)
About
Most Relevant Publications (15+)
51 total publications
Algebraic Fourier reconstruction of piecewise smooth functions
Mathematics of Computation / Jan 01, 2012
Batenkov, D., & Yomdin, Y. (2012). Algebraic Fourier reconstruction of piecewise smooth functions. Mathematics of Computation, 81(277), 277–318. https://doi.org/10.1090/s0025-5718-2011-02539-1
On the Accuracy of Solving Confluent Prony Systems
SIAM Journal on Applied Mathematics / Jan 01, 2013
Batenkov, D., & Yomdin, Y. (2013). On the Accuracy of Solving Confluent Prony Systems. SIAM Journal on Applied Mathematics, 73(1), 134–154. https://doi.org/10.1137/110836584
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
Complete algebraic reconstruction of piecewise-smooth functions from Fourier data
Mathematics of Computation / Feb 19, 2015
Batenkov, D. (2015). Complete algebraic reconstruction of piecewise-smooth functions from Fourier data. Mathematics of Computation, 84(295), 2329–2350. https://doi.org/10.1090/s0025-5718-2015-02948-2
Stability and super-resolution of generalized spike recovery
Applied and Computational Harmonic Analysis / Sep 01, 2018
Batenkov, D. (2018). Stability and super-resolution of generalized spike recovery. Applied and Computational Harmonic Analysis, 45(2), 299–323. https://doi.org/10.1016/j.acha.2016.09.004
Geometry and Singularities of the Prony mapping
Journal of Singularities / Jan 01, 2014
Batenkov, D., & Yomdin, Y. (2014). Geometry and Singularities of the Prony mapping. Journal of Singularities. https://doi.org/10.5427/jsing.2014.10a
Moment inversion problem for piecewise D -finite functions
Inverse Problems / Sep 16, 2009
Batenkov, D. (2009). Moment inversion problem for piecewise D -finite functions. Inverse Problems, 25(10), 105001. https://doi.org/10.1088/0266-5611/25/10/105001
Decimated Prony's Method for Stable Super-Resolution
IEEE Signal Processing Letters / Jan 01, 2023
Katz, R., Diab, N., & Batenkov, D. (2023). Decimated Prony’s Method for Stable Super-Resolution. IEEE Signal Processing Letters, 30, 1467–1471. https://doi.org/10.1109/lsp.2023.3324553
On inverses of Vandermonde and confluent Vandermonde matrices
Numerische Mathematik / Dec 01, 1962
Gautschi, W. (1962). On inverses of Vandermonde and confluent Vandermonde matrices. Numerische Mathematik, 4(1), 117–123. https://doi.org/10.1007/bf01386302
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
Applied and Computational Harmonic Analysis / Jul 01, 2023
Batenkov, D., & Diab, N. (2023). Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices. Applied and Computational Harmonic Analysis, 65, 181–208. https://doi.org/10.1016/j.acha.2023.03.002
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime
Applied and Computational Harmonic Analysis / Nov 01, 2021
Batenkov, D., & Goldman, G. (2021). Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime. Applied and Computational Harmonic Analysis, 55, 426–439. https://doi.org/10.1016/j.acha.2021.07.003
Stable soft extrapolation of entire functions
Inverse Problems / Dec 07, 2018
Batenkov, D., Demanet, L., & Mhaskar, H. N. (2018). Stable soft extrapolation of entire functions. Inverse Problems, 35(1), 015011. https://doi.org/10.1088/1361-6420/aaedde
Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation
Journal of Differential Equations / Dec 01, 2015
Batenkov, D., & Binyamini, G. (2015). Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation. Journal of Differential Equations, 259(11), 5769–5781. https://doi.org/10.1016/j.jde.2015.07.009
Sampling, Metric Entropy, and Dimensionality Reduction
SIAM Journal on Mathematical Analysis / Jan 01, 2015
Batenkov, D., Friedland, O., & Yomdin, Y. (2015). Sampling, Metric Entropy, and Dimensionality Reduction. SIAM Journal on Mathematical Analysis, 47(1), 786–796. https://doi.org/10.1137/130944436
Integral Geometry Problems with Incomplete Data
Journal of Mathematical Sciences / Sep 02, 2014
Batenkov, D. V., Golubyatnikov, V. P., & Yomdin, Y. N. (2014). Integral Geometry Problems with Incomplete Data. Journal of Mathematical Sciences, 202(1), 25–39. https://doi.org/10.1007/s10958-014-2031-8
See Full Profile
Osaye Fadekemi, PhD
Assistant Professor of Mathematics at Alabama State University with expertise in Graph Theory and Network Modeling
Most Relevant Research Interests
Other Research Interests (11)
About
Most Relevant Publications (3+)
7 total publications
Upper bounds on the average
eccentricity of
K 3 -free and
C 4 -free graphs
Discrete Applied Mathematics / Nov 01, 2019
Dankelmann, P., Osaye, F. J., Mukwembi, S., & Rodrigues, B. G. (2019). Upper bounds on the average eccentricity of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e103" altimg="si18.svg"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math>-free and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e113" altimg="si19.svg"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math>-free graphs. Discrete Applied Mathematics, 270, 106–114. https://doi.org/10.1016/j.dam.2019.06.003
Average eccentricity, minimum degree and maximum degree in graphs
Journal of Combinatorial Optimization / Jun 26, 2020
Dankelmann, P., & Osaye, F. J. (2020). Average eccentricity, minimum degree and maximum degree in graphs. Journal of Combinatorial Optimization, 40(3), 697–712. https://doi.org/10.1007/s10878-020-00616-x
Average eccentricity, minimum degree and maximum degree in graphs
Journal of Combinatorial Optimization / Jun 26, 2020
Dankelmann, P., & Osaye, F. J. (2020). Average eccentricity, minimum degree and maximum degree in graphs. Journal of Combinatorial Optimization, 40(3), 697–712. https://doi.org/10.1007/s10878-020-00616-x
See Full Profile
Prof. Anantha Padmanabhan Kuppuswamy, PhD, ScD (Cambridge)
Professor of Eminence, Materials Science and Engineering Program, Dept. of Mechanical Engineering, Anna University, India; formerly President & Provost (Director), Indian Institute of Technology, Kanpur, India
Most Relevant Research Interests
Other Research Interests (32)
About
Most Relevant Publications (1+)
100 total publications
On the prediction of the forming-limit diagram of sheet metals
International Journal of Mechanical Sciences / May 01, 1992
Date, P. P., & Padmanabhan, K. A. (1992). On the prediction of the forming-limit diagram of sheet metals. International Journal of Mechanical Sciences, 34(5), 363–374. https://doi.org/10.1016/0020-7403(92)90024-b
See Full Profile
Dr. KEHINDE ADEWALE ADESINA, Ph.D
Assistant Professor in engineering (food, industrial and process) with quantitative and qualitative research in food processing, safefy, efficiency management, optimization and data analysis
Most Relevant Research Interests
Other Research Interests (18)
About
Most Relevant Publications (1+)
27 total publications
Modified variable return to scale back-propagation neural network robust parameter optimization procedure for multi-quality processes
Engineering Optimization / Nov 05, 2018
Daneshvar, S., & Adesina, K. A. (2018). Modified variable return to scale back-propagation neural network robust parameter optimization procedure for multi-quality processes. Engineering Optimization, 51(8), 1352–1369. https://doi.org/10.1080/0305215x.2018.1524463
See Full Profile
Denys Dutykh
Professional Applied Mathematician, Modeller, and Advisor
Most Relevant Research Interests
Other Research Interests (50)
About
Most Relevant Publications (37+)
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
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
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
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
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
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
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
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
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 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 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
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
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
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 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
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
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
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
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
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
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
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
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
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
See Full Profile
Example applied mathematics projects
How can companies collaborate more effectively with researchers, experts, and thought leaders to make progress on applied mathematics?
Optimizing Supply Chain Management
An Applied Mathematics expert can develop mathematical models and algorithms to optimize supply chain management. By analyzing data on inventory levels, transportation costs, and customer demand, they can help companies minimize costs and improve efficiency in their supply chain operations.
Predictive Maintenance in Manufacturing
By analyzing sensor data and historical maintenance records, an Applied Mathematics researcher can develop predictive models to identify potential equipment failures in manufacturing processes. This can help companies schedule maintenance activities proactively, reduce downtime, and optimize maintenance costs.
Risk Analysis in Finance
Applied Mathematics experts can help financial institutions analyze and manage risks by developing mathematical models and algorithms. They can assess the probability of default, calculate value-at-risk, and optimize investment portfolios to maximize returns while minimizing risks.
Optimizing Energy Consumption
By analyzing energy consumption data and considering factors such as weather conditions and occupancy patterns, an Applied Mathematics researcher can develop optimization algorithms to minimize energy usage in buildings. This can help companies reduce their carbon footprint and lower energy costs.
Data Analysis for Healthcare
Applied Mathematics researchers can analyze healthcare data to identify patterns and trends, predict disease outbreaks, and optimize resource allocation. This can help healthcare providers improve patient outcomes, optimize staffing levels, and allocate resources efficiently.