Meshless collocation method by delta-shaped basis functions for default barrier model
From MaRDI portal
Publication:443555
DOI10.1016/j.enganabound.2009.01.011zbMath1244.65154OpenAlexW2003076497MaRDI QIDQ443555
Zonghang Yang, Benny Y. C. Hon
Publication date: 7 August 2012
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.01.011
default barrier modeldelta-shaped basis functionDirac-delta functionHermite-based meshless collocation method
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items
Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation, The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere, Computing the survival probability density function in jump-diffusion models: a new approach based on radial basis functions, A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations, A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation, Numerical solution of the Schrödinger equations by using Delta-shaped basis functions, The method of approximate fundamental solutions (MAFS) for Stefan problems, Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves, A meshless method for one-dimensional Stefan problems, The method of approximate fundamental solutions (MAFS) for elliptic equations of general type with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Radial basis collocation methods for elliptic boundary value problems
- Multiquadric method for the numerical solution of a biphasic mixture model
- Convergence order estimates of meshless collocation methods using radial basis functions
- An efficient numerical scheme for Burger equation
- Scattered Hermite interpolation using radial basis functions
- Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
- Radial basis functions as approximate particular solutions: Review of recent progress
- Numerical comparisons of two meshless methods using radial basis functions
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- A boundary element scheme for diffusion problems using compactly supported radial basis functions
- A new formulation and computation of the triphasic model for mechano-electrochemical mixtures
- A boundary method of Trefftz type for PDEs with scattered data
- Improved numerical solver for Kansa's method based on affine space decomposition
- Solvability of partial differential equations by meshless kernel methods
- A grid-free, nonlinear shallow-water model with moving boundary
- A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation
- A basis function for approximation and the solutions of partial differential equations
- Advances in Computational Mathematics
- Meshless Galerkin methods using radial basis functions
- Element‐free Galerkin methods
- Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- Reproducing kernel particle methods
- Direct solution of ill-posed boundary value problems by radial basis function collocation method
