Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation

Lehel Banjai; Gabriel Lord; Jeta Molla

doi:10.1137/20m1364746

Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/20m1364746 ◽

2021 ◽

Vol 59 (4) ◽

pp. 1976-2003

Author(s):

Lehel Banjai ◽

Gabriel Lord ◽

Jeta Molla

Keyword(s):

Wave Equation ◽

Strong Convergence ◽

Stochastic Wave Equation

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Stochastic wave equation with critical nonlinearities: Temporal regularity and uniqueness

Journal of Differential Equations ◽

10.1016/j.jde.2009.12.010 ◽

2010 ◽

Vol 248 (7) ◽

pp. 1579-1602 ◽

Cited By ~ 3

Author(s):

Martin Ondreját

Keyword(s):

Wave Equation ◽

Temporal Regularity ◽

Critical Nonlinearities ◽

Stochastic Wave Equation

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Moment bounds and asymptotics for the stochastic wave equation

Stochastic Processes and their Applications ◽

10.1016/j.spa.2014.11.009 ◽

2015 ◽

Vol 125 (4) ◽

pp. 1605-1628 ◽

Cited By ~ 3

Author(s):

Le Chen ◽

Robert C. Dalang

Keyword(s):

Wave Equation ◽

Stochastic Wave Equation ◽

Moment Bounds

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Existence theorem for a stochastic wave equation with discontinuous unbounded coefficients

Differential Equations ◽

10.1134/s0012266113080016 ◽

2013 ◽

Vol 49 (8) ◽

pp. 925-932 ◽

Cited By ~ 1

Author(s):

M. M. Vas’kovskii

Keyword(s):

Wave Equation ◽

Existence Theorem ◽

Unbounded Coefficients ◽

Stochastic Wave Equation

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Strong scattering in the ocean: Validity of the stochastic wave equation

The Journal of the Acoustical Society of America ◽

10.1121/1.2016568 ◽

1978 ◽

Vol 63 (S1) ◽

pp. S25-S25

Author(s):

I. J. Raymond Breton ◽

David Middleton

Keyword(s):

Wave Equation ◽

Stochastic Wave Equation ◽

Strong Scattering

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On a linear stochastic wave equation modeling heat flow

Adventures in Mathematical Physics - Contemporary Mathematics ◽

10.1090/conm/447/08694 ◽

2007 ◽

pp. 237-248 ◽

Cited By ~ 2

Author(s):

Lawrence E. Thomas ◽

Yao Wang

Keyword(s):

Wave Equation ◽

Heat Flow ◽

Equation Modeling ◽

Stochastic Wave Equation

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Regularity of weak solutions for the stochastic wave equation with additive noise

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027439 ◽

2017 ◽

Author(s):

Hongyan Li

Keyword(s):

Wave Equation ◽

Weak Solutions ◽

Additive Noise ◽

Regularity Of Weak Solutions ◽

Stochastic Wave Equation

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Stochastic wave equation simulating the behavior of random variables whose mean values obey a system of ordinary first-order differential equations

Theoretical and Mathematical Physics ◽

10.1007/bf02634056 ◽

1997 ◽

Vol 111 (3) ◽

pp. 676-685 ◽

Cited By ~ 1

Author(s):

I. A. Soloviev

Keyword(s):

Wave Equation ◽

Differential Equations ◽

Random Variables ◽

Mean Values ◽

First Order ◽

Stochastic Wave Equation ◽

First Order Differential Equations

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A fully discrete approximation of the one-dimensional stochastic wave equation

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drv006 ◽

2015 ◽

pp. drv006 ◽

Cited By ~ 1

Author(s):

David Cohen ◽

Lluís Quer-Sardanyons

Keyword(s):

Wave Equation ◽

Discrete Approximation ◽

One Dimensional ◽

Fully Discrete ◽

Stochastic Wave Equation ◽

Fully Discrete Approximation ◽

The One

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On the asymptotic solutions of Belavkin's stochastic wave equation

Physica Scripta ◽

10.1088/0031-8949/45/3/001 ◽

1992 ◽

Vol 45 (3) ◽

pp. 193-199 ◽

Cited By ~ 30

Author(s):

D Chruściński ◽

P Staszewski

Keyword(s):

Wave Equation ◽

Asymptotic Solutions ◽

Stochastic Wave Equation

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One-Dimensional Nonlinear Stochastic Wave Equation and Triviality Effect

Stochastic Analysis and Applications ◽

10.1080/07362990500269625 ◽

2005 ◽

Vol 23 (6) ◽

pp. 1149-1164

Author(s):

Danijela Rajter-Ćirić

Keyword(s):

Wave Equation ◽

One Dimensional ◽

Stochastic Wave Equation

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