Name
Abstract | ||
|---|---|---|
We provide a theoretical analysis of the processing technique for the numerical integration of ODEs. We get the effective order conditions for processed methods in a general setting so that the results obtained can be applied to different types of numerical integrators. We also propose a procedure to approximate the postprocessor such that its evaluation is virtually cost-free. The analysis is illustrated for a particular class of composition methods. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S0036142902417029 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
numerical integrator,effective order condition,processed method,cheap postprocessor,numerical integration,composition method,processed methods,different type,particular class,initial value problems,ordinary differential equations,processing technique,theoretical analysis,effective order,ordinary differential equation,initial value problem | Numerical methods for ordinary differential equations,Mathematical optimization,Ordinary differential equation,Exponential integrator,Mathematical analysis,Numerical integration,Integrator,Initial value problem,Ode,Numerical stability,Mathematics | Journal |
Volume | Issue | ISSN |
42 | 2 | 0036-1429 |
Citations | PageRank | References |
5 | 0.96 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. Blanes | 1 | 42 | 10.47 |
| Fernando Casas | 2 | 74 | 18.30 |
| A. Murua | 3 | 110 | 25.21 |