Newton's method for stochastic semilinear wave equations driven by multiplicative time‐space noise

DOI10.1002/mana.202000467zbMath1529.60046OpenAlexW4310188034MaRDI QIDQ6047479

Monika Wrzosek, Henryk Leszczyński

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000467

zbMATH Keywords

Newton's methodsemigroupsmultiplicative noiseprobabilistic convergencestochastic semilinear wave equation

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Newton's method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion
• Strong and weak approximation of semilinear stochastic evolution equations
• Weak approximation of the stochastic wave equation
• Semigroups of linear operators and applications to partial differential equations
• Lower bounds for weak approximation errors for spatial spectral Galerkin approximations of stochastic wave equations
• Newton's method for nonlinear stochastic wave equations
• Leap-frog method for stochastic functional wave equations
• Numerical methods for stochastic partial differential equations with white noise
• A concise course on stochastic partial differential equations
• Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher
• Space semi-discretisations for a stochastic wave equation
• A short course on operator semigroups
• On numerical solutions of the stochastic wave equation
• A fully discrete approximation of the one-dimensional stochastic wave equation
• Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
• An Introduction to Computational Stochastic PDEs
• Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
• Exact and fast numerical algorithms for the stochastic wave equation
• Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
• A Trigonometric Method for the Linear Stochastic Wave Equation
• Higher Order Strong Approximations of Semilinear Stochastic Wave Equation with Additive Space-time White Noise
• NEWTON S METHOD FOR STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS IN HILBERT SPACES
• Error estimates of finite element method for semilinear stochastic strongly damped wave equation
• Stochastic Equations in Infinite Dimensions

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