A Trigonometric Method for the Linear Stochastic Wave Equation
Journal article, 2013

A fully discrete approximation of the linear stochastic wave equation driven by additive noise is presented. A standard finite element method is used for the spatial discretization and a stochastic trigonometric scheme for the temporal approximation. This explicit time integrator allows for error bounds independent of the space discretization and thus does not have a step-size restriction as in the often used Störmer--Verlet-leap-frog scheme. Moreover, it enjoys a trace formula as does the exact solution of our problem. These favorable properties are demonstrated with numerical experiments.

Additive noise

Strong convergence

Stochastic wave equation

Trace formula

Geometric numerical integration

Stochastic trigonometric schemes

Author

David Cohen

Karlsruhe Institute of Technology (KIT)

Umeå University

Stig Larsson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Magdalena Sigg

University of Basel

SIAM Journal on Numerical Analysis

0036-1429 (ISSN) 1095-7170 (eISSN)

Vol. 51 1 204-222

Subject Categories

Computational Mathematics

Roots

Basic sciences

DOI

10.1137/12087030X

More information

Latest update

4/9/2018 1