Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
DOI10.1016/j.jcp.2021.110829OpenAlexW3214449759MaRDI QIDQ2134758
Jialin Hong, Baohui Hou, Liying Sun
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14720
Padé approximationcompact finite difference methodmultiplicative noisestochastic wave equationaveraged energy evolution lawinterior penalty discontinuous Galerkin finite element method
Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)
Related Items (4)
Cites Work
- An exponential integrator scheme for time discretization of nonlinear stochastic wave equation
- The Laplace Adomian decomposition method for solving a model for HIV infection of \(CD4^{+}T\) cells
- Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
- Finite element methods for parabolic stochastic PDE's
- Approximation for semilinear stochastic evolution equations
- Stochastic wave equations with polynomial nonlinearity
- Numerical simulation of a linear stochastic oscillator with additive noise
- The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations
- Spectral Galerkin method for stochastic wave equations driven by space-time white noise
- Numerical studies of the stochastic Korteweg-de Vries equation
- Space semi-discretisations for a stochastic wave equation
- On numerical solutions of the stochastic wave equation
- The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise
- A fully discrete approximation of the one-dimensional stochastic wave equation
- A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
- Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
- Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
- On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation
- Numerical Methods for Stochastic Systems Preserving Symplectic Structure
- A Trigonometric Method for the Linear Stochastic Wave Equation
- A local discontinuous Galerkin method for nonlinear parabolic SPDEs
- Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form
- Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation
- A Discontinuous Galerkin Method for Stochastic Conservation Laws
- Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
- Discontinuous Galerkin Finite Element Method for the Wave Equation
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