Back to Search
Start Over
On implicit Runge–Kutta methods obtained as a result of the inversion of explicit methods
- Source :
- Mathematical Models and Computer Simulations. 9:498-510
- Publication Year :
- 2017
- Publisher :
- Pleiades Publishing Ltd, 2017.
-
Abstract
- 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.
- Subjects :
- 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
Subjects
Details
- ISSN :
- 20700490 and 20700482
- Volume :
- 9
- Database :
- OpenAIRE
- Journal :
- Mathematical Models and Computer Simulations
- Accession number :
- edsair.doi...........d7a462f9f34df1757761a321243227d8
- Full Text :
- https://doi.org/10.1134/s2070048217040123