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Full discretization of semilinear stochastic wave equations driven by multiplicative noisePrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2016 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 54, no 2, p. 1093-1119Article in journal (Refereed) Published
##### Resource type

Text
##### Abstract [en]

##### Place, publisher, year, edition, pages

2016. Vol. 54, no 2, p. 1093-1119
##### Keywords [en]

semilinear stochastic wave equation, multiplicative noise, strong convergence, trace formula, stochastic trigonometric methods, geometric numerical integration
##### National Category

Probability Theory and Statistics
##### Identifiers

URN: urn:nbn:se:umu:diva-121620DOI: 10.1137/15M101049XISI: 000375488100024OAI: oai:DiVA.org:umu-121620DiVA, id: diva2:940138
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt463",{id:"formSmash:j_idt463",widgetVar:"widget_formSmash_j_idt463",multiple:true}); Available from: 2016-06-20 Created: 2016-06-03 Last updated: 2018-06-07Bibliographically approved
##### In thesis

A fully discrete approximation of the semilinear stochastic wave equation driven by multiplicative noise is presented. A standard linear finite element approximation is used in space, and a stochastic trigonometric method is used for the temporal approximation. This explicit time integrator allows for mean-square error bounds independent of the space discretization and thus does not suffer from a step size restriction as in the often used Stormer-Verlet leapfrog 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.

1. Exponential integrators for stochastic partial differential equations$(function(){PrimeFaces.cw("OverlayPanel","overlay1200403",{id:"formSmash:j_idt741:0:j_idt745",widgetVar:"overlay1200403",target:"formSmash:j_idt741:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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