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The Galerkin-Collocation Method for Hyperbolic Initial Boundary Value Problems

✍ Scribed by P. Dutt; A.K. Singh

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
483 KB
Volume
112
Category
Article
ISSN
0021-9991

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✦ Synopsis

In this paper we implement a spectral method for solving initial boundary value problems which is in between the Galerkin and collocation methods. In this method the partial differential equation and initial and boundary conditions are collocated at an overdetermined set of points and the approximate solution is chosen to be the least-squares solution to this system of equations. The solution is obtained using preconditioned residual minimization. Numerical results for linear and nonlinear hyperbolic problems are provided. (c) 1994 Academic Press, Inc.

πŸ“œ SIMILAR VOLUMES

Weighted radial basis collocation method
Weighted radial basis collocation method for boundary value problems
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## Abstract This work introduces the weighted radial basis collocation method for boundary value problems. We first show that the employment of least‐squares functional with quadrature rules constitutes an approximation of the direct collocation method. Standard radial basis collocation method, how