Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise (Q6086883)

scientific article; zbMATH DE number 7763872

Language	Label	Description	Also known as
English	Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	scientific article; zbMATH DE number 7763872

Statements

instance of

scholarly article

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title

Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise (English)

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author

Baohui Hou

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published in

Applied Numerical Mathematics

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publication date

10 November 2023

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zbMATH Keywords

symplecticity

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multi-symplecticity

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energy-preserving

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GRBF collocation method

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splitting technique

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Padé approximation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2023.07.001

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cites work

Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method

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Runge--Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise

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Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods

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Exponential integrators for stochastic Maxwell's equations driven by Itô noise

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The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

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A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

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The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

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A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations

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A numerical method for KdV equation using collocation and radial basis functions

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Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations

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An energy-conserving method for stochastic Maxwell equations with multiplicative noise

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The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

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The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Propagation of ultra-short solitons in stochastic Maxwell's equations

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Local multiquadric approximation for solving boundary value problems

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Stochastic wave propagation in Maxwell's equations

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High Order Multisymplectic Runge--Kutta Methods

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A stochastic model of Maxwell's equations in \(1+1\) dimensions

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Q3994910

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Meshfree explicit local radial basis function collocation method for diffusion problems

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Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise

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On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations

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A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation

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A review on stochastic multi-symplectic methods for stochastic Maxwell equations

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A symplectic procedure for two-dimensional coupled elastic wave equations using radial basis functions interpolation

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A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions

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Identifiers

zbMATH Open document ID

1528.78004

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DOI

10.1016/j.apnum.2023.07.001

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6086883