Solving partial differential equations by collocation using radial basis functions

doi:10.1016/S0096-3003(97)10104-7

Applied Mathematics and Computation

Volume 93, Issue 1, 1 July 1998, Pages 73-82

https://doi.org/10.1016/S0096-3003(97)10104-7 Get rights and content

Abstract

After a series of application papers have proven the approach to be numerically effective, this paper gives the first theoretical foundation for methods solving partial differential equations by collocation with (possibly radial) basis functions.

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Solving partial differential equations by collocation using radial basis functions

Abstract

Comput. Math. Appl.

Appl. Math. Comput.

Appl. Math. Comp.

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

Adv. Comput. Math.

Solution of elliptic equations in Numerical Relativity using multiquadrics

The Laplace transform multiquadric method: A highly accurate scheme for the numerical solution of linear partial differential equations

J. Appl. Sci. Comp.

Domain decomposition and local refinement for multiquadric approximations, I: Second-order equations in one dimension

J. Appl. Sci. Comp.

Solving partial differential equations by collocation with radial basis functions

A new approach to free vibration analysis using boundary elements