Stability of radial basis collocation method for transient dynamics

DOI10.1007/S12204-010-1057-4zbMath1219.65112OpenAlexW1968190566MaRDI QIDQ615355

Hsin-Yun Hu, Jiun-Shyan Chen, Han-zhong Luo, Xing-chun Huang

Publication date: 5 January 2011

Published in: Journal of Shanghai Jiaotong University (Science) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12204-010-1057-4

zbMATH Keywords

wave equationnumerical examplesradial basis collocation methodstability von Neumann method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

Stability and dispersion analysis of reproducing kernel collocation method for transient dynamics

Cites Work

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• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Domain decomposition for time-dependent problems using radial based meshless methods
• Radial basis collocation method and quasi-Newton iteration for nonlinear elliptic problems
• Scattered Data Interpolation: Tests of Some Method
• Application of Method of Collocation on Lines for Solving Nonlinear Hyperbolic Problems
• Meshless Galerkin methods using radial basis functions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• An RBF-Pseudospectral Approach for the Static and Vibration Analysis of Composite Plates Using a Higher-Order Theory
• The linear rational collocation method

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