| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5776592 | Applied Numerical Mathematics | 2017 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
G. Califano, G. Izzo, Z. Jackiewicz,