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

S. Aseeri; O. Batrašev; Matteo 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

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

S. Aseeri, O. Batrašev, Matteo 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: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Scopus citations

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)
Title of host publication	23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015
Publisher	The Society for Modeling and Simulation Internationalwww.scs.org
Pages	182-191
Number of pages	10
State	Published - Jan 1 2015

Bibliographical note

KAUST Repository Item: Exported on 2020-12-22

Cite this

Aseeri, S., Batrašev, O., Icardi, M., Leu, B., Liu, A., Li, N., Muite, B. K., Müller, E., Palen, B., Quell, M., Servat, H., Sheth, P., Speck, R., Van Moer, M., & Vienne, J. (2015). Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance. In 23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015 (pp. 182-191). The Society for Modeling and Simulation Internationalwww.scs.org.

@inproceedings{248ff18f15be4ad39155a8db30f65f07,

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

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.",

author = "S. Aseeri and O. Batra{\v s}ev and Matteo Icardi and B. Leu and A. Liu and N. Li and Muite, {B. K.} and E. M{\"u}ller and B. Palen and M. Quell and H. Servat and P. Sheth and R. Speck and {Van Moer}, M. and J. Vienne",

note = "KAUST Repository Item: Exported on 2020-12-22",

year = "2015",

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language = "English (US)",

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Aseeri, S, Batrašev, O, Icardi, M, Leu, B, Liu, A, Li, N, Muite, BK, Müller, E, Palen, B, Quell, M, Servat, H, Sheth, P, Speck, R, Van Moer, M & Vienne, J 2015, Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance. in 23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015. The Society for Modeling and Simulation Internationalwww.scs.org, pp. 182-191.

Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance. / Aseeri, S.; Batrašev, O.; Icardi, Matteo et al.
23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015. The Society for Modeling and Simulation Internationalwww.scs.org, 2015. p. 182-191.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance

AU - Aseeri, S.

AU - Batrašev, O.

AU - Icardi, Matteo

AU - Leu, B.

AU - Liu, A.

AU - Li, N.

AU - Muite, B. K.

AU - Müller, E.

AU - Palen, B.

AU - Quell, M.

AU - Servat, H.

AU - Sheth, P.

AU - Speck, R.

AU - Van Moer, M.

AU - Vienne, J.

N1 - KAUST Repository Item: Exported on 2020-12-22

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

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BT - 23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015

PB - The Society for Modeling and Simulation Internationalwww.scs.org

ER -

Aseeri S, Batrašev O, Icardi M, Leu B, Liu A, Li N et al. Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance. In 23rd High Performance Computing Symposium, HPC 2015, Part of the 2015 Spring Simulation Multi-Conference, SpringSim 2015. The Society for Modeling and Simulation Internationalwww.scs.org. 2015. p. 182-191

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

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