A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation (Q2695676)

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English	A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation	scientific article

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title

A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation (English)

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Computational and Applied Mathematics

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publication date

31 March 2023

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zbMATH Keywords

RBF-generated Hermite finite difference method

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cubic-quintic complex Ginzburg-Landau equation

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Strang splitting scheme

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Richardson extrapolation

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nonlinear optics

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Bose-Einstein condensation

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describes a project that uses

rbf_qr

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-023-02256-3

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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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Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model

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An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity

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On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

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On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit

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Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

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Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization

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A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

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An RBF-FD method for pricing American options under jump-diffusion models

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A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation

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Radial-basis-function-based finite difference operator splitting method for pricing American options

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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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A local meshless method for time fractional nonlinear diffusion wave equation

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A meshless local collocation method for time fractional diffusion wave equation

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Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions

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A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces

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A local radial basis function method for pricing options under the regime switching model

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Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization

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Localized kernel-based approximation for pricing financial options under regime switching jump diffusion model

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Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions

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A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment

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A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations

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A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates

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Radial basis function partition of unity operator splitting method for pricing multi-asset American options

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Direct meshless local Petrov-Galerkin (DMLPG) method for 2D complex Ginzburg-Landau equation

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A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation

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Improved numerical solution of multi-asset option pricing problem: a localized RBF-FD approach

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

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On the Construction and Comparison of Difference Schemes

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Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations

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An efficient Chebyshev-tau spectral method for Ginzburg-Landau-Schrödinger equations

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An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations

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Scattered Data Approximation

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A radial basis function -- Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options

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Local spectral time splitting method for first- and second-order partial differential equations

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Q4018018

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40314-023-02256-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:2695676