Abstract
We present a systematic approach to the construction of starting procedures for general linear methods (GLMs) of order p and stage order q=p. Order conditions for starting procedures based on the generalized Runge–Kutta (RK) are derived using the theory of rooted trees, elementary differentials, and elementary weights, and examples of generalized RK formulas are given up to the order p=4.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 165-175 |
| Number of pages | 11 |
| Journal | Applied Numerical Mathematics |
| Volume | 120 |
| DOIs | |
| State | Published - Oct 2017 |
Keywords
- General linear methods
- Generalized Runge–Kutta methods
- Order conditions
- Starting procedures
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
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