Stability estimate on meshless unsymmetric collocation method for solving boundary value problems

DOI10.1016/j.enganabound.2013.02.003zbMath1297.65167OpenAlexW2079320398MaRDI QIDQ463669

J. Herrera, D. Rodríguez-Gómez

Publication date: 17 October 2014

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.02.003

zbMATH Keywords

stabilityboundary value problemsradial basis functionsunsymmetric collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ Quantum radial basis function method for the Poisson equation

Cites Work

• On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs
• Study on effective condition number for collocation methods
• Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
• Convergence estimate of the RBF-based meshless method for initial-boundary value problem of wave equations
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Coupling projection domain decomposition method and Kansa's method in electrostatic problems
• On the stability of meshless symmetric collocation for boundary value problems
• A note on the meshless method using radial basis functions
• On condition numbers associated with radial-function interpolation
• Convergence error estimate in solving free boundary diffusion problem by radial basis functions method.
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• On unsymmetric collocation by radial basis functions
• Error estimates and condition numbers for radial basis function interpolation
• A numerical scheme for nonlinear Schrödinger equation by MQ quasi-interpolation
• Scattered Data Approximation

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