### Abstract

The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many other partial differential equations. In this study, the library 2DE-COMP&FFT is used in a Fourier spectral scheme to solve the Klein-Gordon equation and strong scaling of the code is examined on thirteen different machines for a problem size of 5123. The results are useful in assessing likely performance of other parallel fast Fourier transform based programs for solving partial differential equations. The problem is chosen to be large enough to solve on a workstation, yet also of interest to solve quickly on a supercomputer, in particular for parametric studies. Unlike the Linpack benchmark, a high ranking will not be obtained by simply building a bigger computer.

Original language | English (US) |
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Pages (from-to) | 182-191 |

Number of pages | 10 |

Journal | Simulation Series |

Volume | 47 |

Issue number | 4 |

State | Published - Jan 1 2015 |

Event | 23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015 - Alexandria, United States Duration: Apr 12 2015 → Apr 15 2015 |

### Keywords

- Benchmarks
- Fast fourier transforms
- Parallel algorithms
- Partial differential equations

### ASJC Scopus subject areas

- Computer Networks and Communications

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## Cite this

*Simulation Series*,

*47*(4), 182-191.