Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems
From MaRDI portal
Publication:1732430
DOI10.1016/j.camwa.2017.11.030zbMath1409.65081OpenAlexW2771412442MaRDI QIDQ1732430
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.11.030
radial basis functionsdiscontinuitycardinal functionnonlocal diffusion equationsspectral/pseudo-spectral methods
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Integro-partial differential equations (35R09)
Related Items (7)
A reduced-order fast reproducing kernel collocation method for nonlocal models with inhomogeneous volume constraints ⋮ Localized Chebyshev and MLS collocation methods for solving 2D steady state nonlocal diffusion and peridynamic equations ⋮ An accurate and efficient numerical method for solving linear peridynamic models ⋮ A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs ⋮ A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels ⋮ Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM) ⋮ An accurate and efficient numerical method for neural field models with transmission delays
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Variational theory and domain decomposition for nonlocal problems
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- Integration constraint in diffuse element method
- Neighborhood filters and PDE's
- Meshfree explicit local radial basis function collocation method for diffusion problems
- Linearized theory of peridynamic states
- An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
- A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
- Traveling waves in a convolution model for phase transitions
- A multiquadric interpolation method for solving initial value problems
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Local multiquadric approximation for solving boundary value problems
- Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Metastability and stability of patterns in a convolution model for phase transitions
- Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
- Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes
- A radial basis function Galerkin method for inhomogeneous nonlocal diffusion
- Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
- The localized RBFs collocation methods for solving high dimensional PDEs
- Transport schemes on a sphere using radial basis functions
- A meshfree unification: reproducing kernel peridynamics
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
- On Computations with Dense Structured Matrices
- A radial basis function method for the shallow water equations on a sphere
- THE PERIDYNAMIC EQUATION AND ITS SPATIAL DISCRETISATION
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Meshless Galerkin methods using radial basis functions
- Reproducing kernel particle methods
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models
- Deblurring and Denoising of Images by Nonlocal Functionals
- A Galerkin Radial Basis Function Method for Nonlocal Diffusion
- Methods of conjugate gradients for solving linear systems
This page was built for publication: Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems
