David Cohen

Research qualifications: Docent

Educational qualifications: Recognised university teacher

Contact

david.cohen@umu.se

Works at

Affiliated as other position at Department of Mathematics and Mathematical Statistics

MIT-huset, plan 3, Matematik och matematisk statistik Umeå universitet, 901 87 Umeå

Personal webpage http://snovit.math.umu.se/~david/

Drift-preserving numerical integrators for stochastic Poisson systems

International Journal of Computer Mathematics, Taylor & Francis 2022, Vol. 99, (1) : 4-20

Cohen, David; Vilmart, Gilles

A fully discrete approximation of the one-dimensional stochastic heat equation

IMA Journal of Numerical Analysis, Oxford University Press 2020, Vol. 40, (1) : 247-284

Anton, Rikard; Cohen, David; Quer-Sardanyons, Lluis

Drift-preserving numerical integrators for stochastic Hamiltonian systems

Advances in Computational Mathematics, Springer-Verlag New York 2020, Vol. 46, (2)

Chen, Chuchu; Cohen, David; D'Ambrosio, Raffaele; et al.

Exponential integrators for stochastic Maxwell's equations driven by Itô noise

Journal of Computational Physics, Elsevier 2020, Vol. 410

Cohen, David; Cui, Jianbo; Hong, Jialin; et al.

High order numerical integrators for single integrand Stratonovich SDEs

Applied Numerical Mathematics, Elsevier 2020, Vol. 158 : 264-270

Cohen, David; Debrabant, Kristian; Rößler, Andreas

Exponential integrators for stochastic Schrödinger equations driven by Itô noise

Journal of Computational Mathematics, Global Science Press 2018, Vol. 36, (2) : 276-309

Anton, Rikard; Cohen, David

Numerical discretisations of stochastic wave equations

International conference of numerical analysis and applied mathematics (ICNAAM 2017), American Institute of Physics (AIP) 2018 : 1-5

Cohen, David

Exponential integrators for stochastic Schrödinger equations driven by Itô noise

Oberwolfach mini-Workshop: Stochastic Differential Equations:Regularity and Numerical Analysis in Finite and InfiniteDimensions: Workshop ID: 1706b, Oberwolfach: 2017 : 11-12

Cohen, David

Exponential integrators for nonlinear Schrödinger equations with white noise dispersion

Stochastics and Partial Differential Equations: Analysis and Computations, New York: Springer 2017, Vol. 5, (4) : 592-613

Cohen, David; Dujardin, Guillaume

Weak second order explicit exponential Runge–Kutta methods for stochastic differential equations

SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics 2017, Vol. 39, (6) : A2857-A2878

Komori, Yoshio; Cohen, David; Burrage, Kevin

Geometric numerical integrators for Hunter–Saxton-like equations

Japan journal of industrial and applied mathematics, Vol. 34, (2) : 441-472

Miyatake, Yuto; Cohen, David; Furihata, Daisuke; et al.

Full discretization of semilinear stochastic wave equations driven by multiplicative noise

SIAM Journal on Numerical Analysis, Vol. 54, (2) : 1093-1119

Anton, Rikard; Cohen, David; Larsson, Stig; et al.

Conservative methods for stochastic differential equations with a conserved quantity

International Journal of Numerical Analysis and Modeling, Edmonton, Alberta, Canada: 2016, Vol. 13, (3) : 435-456

Chen, Chuchu; Cohen, David; Hong, Jialin

Numerical discretisations of stochastic wave equations

Geometric Numerical Integration: Workshop Report, Oberwolfach: 2016 : 897-899

Cohen, David

A fully discrete approximation of the one-dimensional stochastic wave equation

IMA Journal of Numerical Analysis, Oxford University Press 2016, Vol. 36, (1) : 400-420

Cohen, David; Quer-Sardanyons, Lluís

MultiSymplectic discretisation of wave map equations

SIAM Journal on Scientific Computing, Vol. 38, (2) : A953-A972

Cohen, David; Verdier, Olivier

Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions

BIT Numerical Mathematics, Vol. 55, (3) : 705-732

Cohen, David; Gauckler, Ludwig; Hairer, Ernst; et al.

High order numerical methods for highly oscillatory problem

Mathematical Modelling and Numerical Analysis, Vol. 49, (3) : 695-711

Cohen, David; Schweitzer, Julia

Energy-preserving integrators for stochastic Poisson systems

Communications in Mathematical Sciences, International Press of Boston 2014, Vol. 12, (8) : 1523-1539

Cohen, David; Dujardin, Guillaume

A multi-symplectic numerical integrator for the two-component Camassa Holm equation

Journal of Nonlinear Mathematical Physics, Taylor & Francis 2014, Vol. 21, (3) : 442-453

Cohen, David; Matsuo, Takayasu; Raynaud, Xavier

A trigonometric method for the linear stochastic wave equation

SIAM Journal on Numerical Analysis, Vol. 51, (1) : 204-222

Cohen, David; Larsson, Stig; Sigg, Magdalena

High weak order methods for stochastic differential equations based on modified equations

SIAM Journal on Scientific Computing, Vol. 34, (3) : A1800-A1823

Abdulle, Assyr; Cohen, David; Vilmart, Gilles; et al.

On the numerical discretisation of stochastic oscillators

Mathematics and Computers in Simulation, Vol. 82, (8) : 1478-1495

Cohen, David

One-stage exponential integrators for nonlinear Schrödinger equations over long times

BIT Numerical Mathematics, Springer 2012, Vol. 52, (4) : 877-903

Cohen, David; Gauckler, Ludwig

Convergent numerical schemes for the compressible hyperelastic rod wave equation

Numerische Mathematik, Vol. 122 : 1-59

Cohen, David; Raynaud, Xavier

Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations

Numerische Mathematik, Vol. 121, (1) : 1-29

Cohen, David; Sigg, Magdalena

Trigonometric schemes for stiff second-order SDEs

Oberwolfach Reports, 2011:16

Cohen, David

Linear energy-preserving integrators for Poisson systems

BIT Numerical Mathematics, Vol. 51, (1) : 91-101

Cohen, David; Hairer, Ernst

Geometric finite difference schemes for the generalized hyperelastic-rod wave equation

Journal of Computational and Applied Mathematics, Vol. 235, (8) : 1925-1940

Cohen, David; Raynaud, Xavier

Symmetric exponential integrators with an application to the cubic Schrodinger equation

Foundations of Computational Mathematics, Vol. 8, (3) : 303-317

Celledoni, Elena; Cohen, David; Owren, Brynjulf

Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations

Numerische Mathematik, Vol. 110, (2) : 113-143

Cohen, David; Hairer, Ernst; Lubich, Christian

Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions

Archive for Rational Mechanics and Analysis, Vol. 187, (2) : 341-368

Cohen, David; Hairer, Ernst; Lubich, Christian

Multi-symplectic integration of the Camassa-Holm equation

Journal of Computational Physics, Vol. 227, (11) : 5492-5512

Cohen, David; Owren, Brynjulf; Raynaud, Xavier

Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

IMA Journal of Numerical Analysis, Vol. 26, (1) : 34-59

Cohen, David

Trigonometric schemes for stiff second-order SDEs

Oberwolfach Reports

Cohen, David

Numerical integrators for highly oscillatory Hamiltonian systems: a review

Analysis, modeling and simulation of multiscale problems, Springer 2006 : 553-576

Cohen, David; Jahnke, Tobias; Lorenz, Katina; et al.

Numerical energy conservation for multi-frequency oscillatory differential equations

BIT Numerical Mathematics, Vol. 45, (2) : 287-305

Cohen, David; Hairer, Ernst; Lubich, Christian

Modulated Fourier expansions of highly oscillatory differential equations

Foundations of Computational Mathematics, Vol. 3, (4) : 327-345

Cohen, David; Hairer, Ernst; Lubich, Christian

View publications in DiVA

Research projects

1 January 2019 until 31 December 2022

Numerical analysis and simulation of PDEs with random dispersion

1 January 2014 until 31 December 2017

Explicit numerical methods for the time discretisation of stochastic wave equations

Stochastic Differential Equations HT 2019