On the Numerical Solution of Parabolic Equations in a Single Space Variable by the Continuous Time Galerkin Method
| Autor: | Miente Bakker |
|---|---|
| Přispěvatelé: | Information Systems |
| Rok vydání: | 1980 |
| Předmět: |
Pointwise
Numerical Analysis Applied Mathematics Mathematical analysis Superconvergence continuous-tie galerkin Computer Science::Numerical Analysis Finite element method Mathematics::Numerical Analysis Computational Mathematics Shooting method Discontinuous Galerkin method faedo-galerkin Piecewise finite elements Initial value problem Galerkin method Mathematics |
| Zdroj: | SIAM Journal on Numerical Analysis, 17(1), 162-177 |
| ISSN: | 1095-7170 0036-1429 |
| DOI: | 10.1137/0717016 |
| Popis: | We consider the Galerkin method to solve a parabolic initial boundary value problem in one space variable, using piecewise polynomial functions and give an alternative proof of superconvergence. Then by means of Lobatto quadrature, we obtain purely explicit vector initial value problems without loss in the order of accuracy, global or pointwise. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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