On implicit Runge–Kutta methods obtained as a result of the inversion of explicit methods
| Autor: | L. M. Skvortsov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Backward differentiation formula
010102 general mathematics Mathematical analysis Numerical methods for ordinary differential equations Explicit and implicit methods 01 natural sciences Stiff equation 010101 applied mathematics Euler method Computational Mathematics Runge–Kutta methods symbols.namesake General linear methods Modeling and Simulation symbols Applied mathematics 0101 mathematics Linear multistep method Mathematics |
| Zdroj: | Mathematical Models and Computer Simulations. 9:498-510 |
| ISSN: | 2070-0490 2070-0482 |
| DOI: | 10.1134/s2070048217040123 |
| Popis: | We consider methods that are the inverse of the explicit Runge–Kutta methods. Such methods have some advantages, while their disadvantage is the low (first) stage order. This reduces the accuracy and the real order in solving stiff and differential-algebraic equations. New methods possessing properties of methods of a higher stage order are proposed. The results of the numerical experiments show that the proposed methods allow us to avoid reducing the order. |
| Databáze: | OpenAIRE |
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