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Gaussian quadrature rules and a-stability of galerkin schemes for ODE

International Journal of Mathematics and Mathematical Sciences (2003) 2003(31) 1947-1959
DOI: 10.1155/S0161171203211467
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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. © 2003 Hindawi Publishing Corporation. All rights reserved.

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Bensebah, A., Dubeau, F., & GÉlinas, J. (2003). Gaussian quadrature rules and a-stability of galerkin schemes for ODE. International Journal of Mathematics and Mathematical Sciences, 2003(31), 1947–1959. https://doi.org/10.1155/S0161171203211467

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