David Cohen
Mitt huvudsakliga forskningsintresse är numerisk analys av differentialekvationer, med ett särskilt fokus på geometriska numeriska integratorer. Detta består i princip av utformning och analys av strukturbevarande numeriska metoder för approximering, i tid, av lösningar på deterministiska och slumpmässiga dynamiska system.
För mer, se http://www.math.chalmers.se/~cohend/
Visar 45 publikationer
Positivity-preserving schemes for some nonlinear stochastic PDEs
Splitting integrators for linear Vlasov equations with stochastic perturbations
Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations
Splitting schemes for FitzHugh–Nagumo stochastic partial differential equations
SPLITTING INTEGRATORS FOR STOCHASTIC LIE-POISSON SYSTEMS
APPROXIMATED EXPONENTIAL INTEGRATORS FOR THE STOCHASTIC MANAKOV EQUATION
Drift-preserving numerical integrators for stochastic Poisson systems
Numerical approximation and simulation of the stochastic wave equation on the sphere
Splitting integrators for stochastic Lie-Poisson systems
Approximated exponential integrators for the stochastic Manakov equation
Lie-Trotter Splitting for the Nonlinear Stochastic Manakov System
A fully discrete approximation of the one-dimensional stochastic heat equation
Drift-preserving numerical integrators for stochastic Hamiltonian systems
High order numerical integrators for single integrand Stratonovich SDEs
Exponential integrators for stochastic Maxwell's equations driven by Itô noise
Numerical discretisations of stochastic wave equations
Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise
Weak Second Order Explicit Exponential Runge--Kutta Methods for Stochastic Differential Equations
Geometric numerical integrators for Hunter–Saxton-like equations
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
A fully discrete approximation of the one-dimensional stochastic wave equation
Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
MultiSymplectic Discretization of Wave Map Equations
Conservative methods for stochastic differential equations with a conserved quantity
High order numerical methods for highly oscillatory problems
A multi-symplectic numerical integrator for the two-component Camassa–Holm equation
Energy-preserving integrators for stochastic Poisson systems
A Trigonometric Method for the Linear Stochastic Wave Equation
Convergent numerical schemes for the compressible hyperelastic rod wave equation
High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations
One-stage exponential integrators for nonlinear Schrödinger equations over long times
On the numerical discretisation of stochastic oscillators
Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
Linear energy-preserving integrators for Poisson systems
Multi-symplectic integration of the Camassa–Holm equation
Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation
Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems
Numerical integrators for highly oscillatory Hamiltonian systems: a review
Numerical energy conservation for multi-frequency oscillatory differential equations
Modulated Fourier expansions of highly oscillatory differential equations
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Visar 4 forskningsprojekt
Time-Evolving Stochastic Manifolds (StochMan)
Numerisk analys och simulering av PDE med slumpmässig dispersion
Numeriska metoder för stokastiska partiella differentialekvationer
Explicita metoder för tidsdiskretisering av stokastiska vågekvationer