Gaussian quadrature rules and A -stability of Galerkin schemes for ODE

Ali Bensebah, François Dubeau and Jacques Gélinas

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-13

Abstract:

The A -stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A -stability of the numerical integration using Gaussian quadrature rules involving a parameter is analyzed.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:832505

DOI: 10.1155/S0161171203211467

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