Name
Abstract | ||
|---|---|---|
A new representation for diagonally implicit multistage integration methods (DIMSIMs) is derived in which the vector of external stages directly approximates the Nordsieck vector. The methods in this formulation are zero-stable for any choice of variable mesh. They are also easy to implement since changing step-size corresponds to a simple rescaling of the vector of external approximations. The paper contains an analysis of local truncation error and of error accumulation in a variable step-size situation. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1023/A:1019195215402 | Numerical Algorithms |
Keywords | Field | DocType |
DIMSIM methods,Nordsieck representation,variable step-size,error accumulation,error estimation | Diagonal,Truncation error,Mathematical optimization,Truncation error (numerical integration),Mathematics | Journal |
Volume | Issue | ISSN |
16 | 2 | 1572-9265 |
Citations | PageRank | References |
12 | 4.33 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John C. Butcher | 1 | 12 | 4.33 |
| P. Chartier | 2 | 144 | 29.70 |
| Z. Jackiewicz | 3 | 140 | 31.08 |