David Cohen
Assistant Professor
Applied Mathematics andAbout David Cohen
My main research interest is numerical analysis of differential equations, with a particular focus on geometric numerical integrators. This basically consists in the design and analysis of structure-preserving numerical methods for the approximation, in time, of solutions to deterministic and random dynamical systems. Such dynamical systems come, for instance, from applications in molecular dynamics, in astrophysics, in the field of modern communication systems, or in nonlinear wave phenomena. Concrete examples are highly oscillatory problems, multiscale problems, models for shallow water waves, or stochastic wave and Schrödinger equations.
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Splitting integrators for stochastic Lie–Poisson
systems
C. E. Brehier, David Cohen, T. Jahnke
Mathematics of Computation - 2023 -
SPLITTING SCHEMES FOR FITZHUGH-NAGUMO STOCHASTIC PARTIAL DIFFERENTIAL
EQUATIONS
C. E. Brehier, David Cohen, G. Giordano
Discrete and Continuous Dynamical Systems-Series B - 2023 -
Analysis of a splitting scheme for a class of nonlinear stochastic Schrodinger
equations
C. E. Brehier, David Cohen
Applied Numerical Mathematics - 2023 -
APPROXIMATED EXPONENTIAL INTEGRATORS FOR THE STOCHASTIC MANAKOV
EQUATION
A. Berg, David Cohen, G. Dujardin
Journal of Computational Dynamics - 2023 -
Numerical approximation and simulation of the stochastic wave equation on the
sphere
David Cohen, Annika Lang
Calcolo - 2022 -
Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise
Dispersion
C. E. Bréhier, David Cohen
SIAM-ASA Journal on Uncertainty Quantification - 2022 -
Lie-Trotter Splitting for the Nonlinear Stochastic Manakov
System
A. Berg, David Cohen, G. Dujardin
Journal of Scientific Computing - 2021 -
Drift-preserving numerical integrators for stochastic Poisson
systems
David Cohen, G. Vilmart
International Journal of Computer Mathematics - 2021 -
Impact of Diabetes on Outcomes After Transcatheter Mitral Valve Repair in Heart Failure: COAPT
Trial.
Bahira Shahim, Ben Ben-Yehuda, Shmuel Chen, Björn Redfors, Mahesh V Madhavan, Saibal Kar, D Scott Lim, Federico M Asch, Neil J Weissman, David Cohen, Suzanne V Arnold, Mengdan Liu, JoAnn Lindenfeld, William T Abraham, Michael J Mack, Gregg W Stone
JACC. Heart failure - 2021 -
High order numerical integrators for single integrand Stratonovich
SDEs
David Cohen, K. Debrabant, A. Rossler
Applied Numerical Mathematics - 2020