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 34 publikationer
Numerical approximation and simulation of the stochastic wave equation on the sphere
High order numerical integrators for single integrand Stratonovich SDEs
Exponential integrators for stochastic Maxwell's equations driven by Itô noise
A fully discrete approximation of the one-dimensional stochastic heat equation
Drift-preserving numerical integrators for stochastic Hamiltonian systems
Numerical discretisations of stochastic wave equations
Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise
Geometric numerical integrators for Hunter–Saxton-like equations
Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
Weak Second Order Explicit Exponential Runge--Kutta Methods for Stochastic Differential Equations
MultiSymplectic Discretization of Wave Map Equations
Conservative methods for stochastic differential equations with a conserved quantity
A fully discrete approximation of the one-dimensional stochastic wave equation
Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
High order numerical methods for highly oscillatory problems
Energy-preserving integrators for stochastic Poisson systems
A multi-symplectic numerical integrator for the two-component Camassa–Holm equation
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
On the numerical discretisation of stochastic oscillators
One-stage exponential integrators for nonlinear Schrödinger equations over long times
Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
Linear energy-preserving integrators for Poisson systems
Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation
Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
Multi-symplectic integration of the Camassa–Holm equation
Numerical integrators for highly oscillatory Hamiltonian systems: a review
Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems
Numerical energy conservation for multi-frequency oscillatory differential equations
Modulated Fourier expansions of highly oscillatory differential equations
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Visar 3 forskningsprojekt
Numerisk analys och simulering av PDE med slumpmässig dispersion
Numeriska metoder för stokastiska partiella differentialekvationer
Explicita metoder för tidsdiskretisering av stokastiska vågekvationer