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- Anton, Rikard, et al.
(författare)
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Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise
- 2015
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Annan publikation (övrigt vetenskapligt/konstnärligt)abstract
- A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative noise is presented. A standard linear finite element approximation is used in space and a stochastic trigonometric method for the temporal approximation. This explicit time integrator allows for mean-square error bounds indepen- dent of the space discretisation and thus do not suffer from a step size restriction as in the often used Störmer-Verlet- leap-frog scheme. Furthermore, it satisfies an almost trace formula (i. e., a linear drift of the expected value of the energy of the problem). Numerical experiments are presented and confirm the theoretical results.
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