An RBF-PUM finite difference scheme for forward-backward heat equation (Q6172872)

scientific article; zbMATH DE number 7714789

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English	An RBF-PUM finite difference scheme for forward-backward heat equation	scientific article; zbMATH DE number 7714789

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instance of

scholarly article

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title

An RBF-PUM finite difference scheme for forward-backward heat equation (English)

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author

Gholamreza Garmanjani

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Computational and Applied Mathematics

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publication date

20 July 2023

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zbMATH Keywords

forward-backward heat problem

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meshless methods

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RBF collocation method

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partition of unity

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-023-02311-z

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cites work

A Weighted Least Squares Method for the Backward-Forward Heat Equation

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THE PARTITION OF UNITY METHOD

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Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method

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Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration

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On the stability of a forward-backward heat equation

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Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data

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A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure

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Adaptive meshless refinement schemes for RBF-PUM collocation

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Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme

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Efficient computation of partition of unity interpolants through a block-based searching technique

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Partition of unity interpolation using stable kernel-based techniques

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Optimal selection of local approximants in RBF-PU interpolation

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\textsc{OpenCL} based parallel algorithm for RBF-PUM interpolation

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Partition of unity methods for signal processing on graphs

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Local RBF-FD solutions for steady convection–diffusion problems

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Overlapping Schwarz waveform relaxation method for the solution of the forward-backward heat equation

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Positive constrained approximation via RBF-based partition of unity method

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Gaussian radial basis function interpolant for the different data sites and basis centers

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Solving differential equations with radial basis functions: Multilevel methods and smoothing

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On choosing ``optimal'' shape parameters for RBF approximation

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Q3446085

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Kernel-based Approximation Methods using MATLAB

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Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation

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Discontinuous Galerkin finite element methods for a forward-backward heat equation

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A RBF partition of unity collocation method based on finite difference for initial-boundary value problems

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A finite element method and variable transformations for a forward-backward heat equation

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A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics

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The outer region of a turbulent boundary layer

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A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications

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A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension

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Identifiers

zbMATH Open document ID

1524.65648

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DOI

10.1007/s40314-023-02311-z

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6172872