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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

international journal of mathematics and mathematical sciences

Gaussian quadrature rules and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$A$" id="E1"><mml:mi>A</mml:mi></mml:math>-stability of Galerkin schemes for ODE

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