Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere
Schreiber, M., Schaeffer, N., Loft, R. D.. (2019). Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere. Parallel Computing, doi:https://doi.org/10.1016/j.parco.2019.01.005
| Title | Exponential integrators with parallel-in-time rational approximations for the shallow-water equations on the rotating sphere |
|---|---|
| Genre | Article |
| Author(s) | M. Schreiber, N. Schaeffer, Richard D. Loft |
| Abstract | High performance computing trends towards many-core systems are expected to continue over the next decade. As a result, parallel-in-time methods, mathematical formulations which exploit additional degrees of parallelism in the time dimension, have gained increasing interest in recent years. In this work we study a massively parallel rational approximation of exponential integrators (REXI). This method replaces a time integration of stiff linear oscillatory and diffusive systems by the sum of the solutions of many decoupled systems, which can be solved in parallel. Previous numerical studies showed that this reformulation allows taking arbitrarily long time steps for the linear oscillatory parts. |
| Publication Title | Parallel Computing |
| Publication Date | Jul 1, 2019 |
| Publisher's Version of Record | https://doi.org/10.1016/j.parco.2019.01.005 |
| OpenSky Citable URL | https://n2t.org/ark:/85065/d73x89qj |
| OpenSky Listing | View on OpenSky |
| CISL Affiliations | CISLAODEPT |