Leap-frog method for stochastic functional wave equations

DOI10.1553/etna_vol52s77zbMath1431.60059OpenAlexW3005360449MaRDI QIDQ2303346

Milena Matusik, Monika Wrzosek, Henryk Leszczyński

Publication date: 3 March 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=77-87

zbMATH Keywords

leap-frogstochastic 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)

Related Items (2)

Newton's method for stochastic semilinear wave equations driven by multiplicative time‐space noise ⋮ Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation

Cites Work

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• A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions
• Newton's method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion
• An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell's equations in metamaterials
• Weak approximation of the stochastic wave equation
• Mathematics of DNA structure, function and interactions. Selected papers based on the presentations at the workshop, September 16--21, 2007, Minneapolis, MN, USA. Dedicated to Nick Cozzarella.
• Time-filtered leapfrog integration of Maxwell equations using unstaggered temporal grids
• Estimation and control problems for stochastic partial differential equations
• Explicit multi-symplectic extended leap-frog methods for Hamiltonian wave equations
• Space semi-discretisations for a stochastic wave equation
• On numerical solutions of the stochastic wave equation
• A Crank-Nicolson leapfrog stabilization: unconditional stability and two applications
• Limit Theorems for Multi-Indexed Sums of Random Variables
• New two-level leapfrog scheme for modeling the stochastic Landau-Lifshitz equations
• Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
• Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Exact and fast numerical algorithms for the stochastic wave equation
• Multiparameter Processes
• A mathematical model for DNA
• A Trigonometric Method for the Linear Stochastic Wave Equation
• The vibrating string forced by white noise
• Integral and Discrete Inequalities and Their Applications
• Stochastic Equations in Infinite Dimensions

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