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Galerkin approximations for initial value problems with known end time conditions |
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| Authors: | James C Cavendish Charles A Hall Thomas A Porsching |
| Affiliation: | Mathematics Department, General Motors Research, Warren, Michigan 48090 U.S.A.;Institute for Computational Mathematics and Applications, Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 U.S.A. |
| Abstract: | Galerkin's method is used to approximate the transient solutions of intial value problems in which a steady state or advanced time state is known. A convergence theorem is established and choices of basis functions are discussed. The method is then applied to systems arising from nuclear reactor kinetics theory and the semi-discretization of parabolic two-point boundary value problems. |
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