Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance

S. Aseeri, O. Batrašev, M. Icardi, B. Leu, A. Liu, N. Li, B. K. Muite, E. Müller, B. Palen, M. Quell, H. Servat, P. Sheth, R. Speck, M. Van Moer, J. Vienne

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish (US)
Pages (from-to)182-191
Number of pages10
JournalSimulation Series
Issue number4
StatePublished - 2015
Event23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015 - Alexandria, United States
Duration: Apr 12 2015Apr 15 2015


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

ASJC Scopus subject areas

  • Computer Networks and Communications


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