Name
Abstract | ||
|---|---|---|
This paper considers the parallel solution of large systems of ordinary differential equations (ODEs) which possess a special access pattern by explicit Runge---Kutta (RK) methods. Such systems may arise, for example, from the semi-discretization of partial differential equations (PDEs). We propose an implementation strategy based on a pipelined processing of the stages of the RK method that does not impose restrictions on the choice of coefficients of the RK method. This approach can be implemented with low storage while still allowing efficient step control by embedded solutions. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/978-3-642-03869-3_73 | Euro-Par |
Keywords | Field | DocType |
explicit runge,parallel implementation,efficient step control,partial differential equation,parallel solution,large system,embedded solution,rk method,low storage,implementation strategy,ordinary differential equation,low storage requirements,kutta integrators,runge kutta | Applied mathematics,Runge–Kutta methods,Mathematical optimization,Exponential integrator,Ordinary differential equation,Linear differential equation,Separable partial differential equation,Computer science,Parallel computing,Numerical partial differential equations,Delay differential equation,Partial differential equation | Conference |
Volume | ISSN | Citations |
5704 | 0302-9743 | 1 |
PageRank | References | Authors |
0.38 | 5 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthias Korch | 1 | 104 | 16.62 |
| Thomas Rauber | 2 | 415 | 64.60 |