Arbitrary Precision Computations of Variations of Kansa's Method

DOI10.1007/978-1-4020-8821-6_5zbMath1166.65397OpenAlexW116309157MaRDI QIDQ3613537

Leevan Ling

Publication date: 12 March 2009

Published in: Progress on Meshless Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-8821-6_5

zbMATH Keywords

convergenceerror boundsradial basis functionKansa's methodhigh precision computation

Mathematics Subject Classification ID

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

Cites Work

• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• On convergent numerical algorithms for unsymmetric collocation
• 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
• Results on meshless collocation techniques
• Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
• Solvability of partial differential equations by meshless kernel methods
• Stable and Convergent Unsymmetric Meshless Collocation Methods
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods

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