Gaussian quadrature rules and A-stability of Galerkin schemes for ODE
oleh: Ali Bensebah, François Dubeau, Jacques Gélinas
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2003-01-01 |
Deskripsi
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.