Recent developments in the theory and application of the sparse grid combination technique

Markus Hegland; Brendan Harding; Christoph Kowitz; Dirk Pflüger

doi:10.1007/978-3-319-40528-5_7

Recent developments in the theory and application of the sparse grid combination technique

Markus Hegland^*, Brendan Harding, Christoph Kowitz, Dirk Pflüger

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Substantialmodifications of both the choice of the grids, the combination coefficients, the parallel data structures and the algorithms used for the combination technique lead to numerical methods which are scalable. This is demonstrated by the provision of error and complexity bounds and in performance studies based on a state of the art code for the solution of the gyrokinetic equations of plasma physics. The key ideas for a new fault-tolerant combination technique are mentioned. New algorithms for both initial- and eigenvalue problems have been developed and are shown to have good performance.

Original language	English
Title of host publication	Software for Exascale Computing - SPPEXA 2013-2015
Editors	Wolfgang E. Nagel, Hans-Joachim Bungartz, Philipp Neumann
Publisher	Springer Verlag
Pages	143-163
Number of pages	21
ISBN (Print)	9783319405261
DOIs	https://doi.org/10.1007/978-3-319-40528-5_7
Publication status	Published - 2016
Event	International Conference on Software for Exascale Computing, SPPEXA 2015 - Munich, Germany Duration: 25 Jan 2016 → 27 Jan 2016

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	113
ISSN (Print)	1439-7358

Conference

Conference	International Conference on Software for Exascale Computing, SPPEXA 2015
Country/Territory	Germany
City	Munich
Period	25/01/16 → 27/01/16

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10.1007/978-3-319-40528-5_7

Cite this

Hegland, M., Harding, B., Kowitz, C., & Pflüger, D. (2016). Recent developments in the theory and application of the sparse grid combination technique. In W. E. Nagel, H.-J. Bungartz, & P. Neumann (Eds.), Software for Exascale Computing - SPPEXA 2013-2015 (pp. 143-163). (Lecture Notes in Computational Science and Engineering; Vol. 113). Springer Verlag. https://doi.org/10.1007/978-3-319-40528-5_7

Hegland, Markus ; Harding, Brendan ; Kowitz, Christoph et al. / Recent developments in the theory and application of the sparse grid combination technique. Software for Exascale Computing - SPPEXA 2013-2015. editor / Wolfgang E. Nagel ; Hans-Joachim Bungartz ; Philipp Neumann. Springer Verlag, 2016. pp. 143-163 (Lecture Notes in Computational Science and Engineering).

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title = "Recent developments in the theory and application of the sparse grid combination technique",

abstract = "Substantialmodifications of both the choice of the grids, the combination coefficients, the parallel data structures and the algorithms used for the combination technique lead to numerical methods which are scalable. This is demonstrated by the provision of error and complexity bounds and in performance studies based on a state of the art code for the solution of the gyrokinetic equations of plasma physics. The key ideas for a new fault-tolerant combination technique are mentioned. New algorithms for both initial- and eigenvalue problems have been developed and are shown to have good performance.",

author = "Markus Hegland and Brendan Harding and Christoph Kowitz and Dirk Pfl{\"u}ger",

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year = "2016",

doi = "10.1007/978-3-319-40528-5_7",

language = "English",

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Hegland, M, Harding, B, Kowitz, C & Pflüger, D 2016, Recent developments in the theory and application of the sparse grid combination technique. in WE Nagel, H-J Bungartz & P Neumann (eds), Software for Exascale Computing - SPPEXA 2013-2015. Lecture Notes in Computational Science and Engineering, vol. 113, Springer Verlag, pp. 143-163, International Conference on Software for Exascale Computing, SPPEXA 2015, Munich, Germany, 25/01/16. https://doi.org/10.1007/978-3-319-40528-5_7

Recent developments in the theory and application of the sparse grid combination technique. / Hegland, Markus; Harding, Brendan; Kowitz, Christoph et al.
Software for Exascale Computing - SPPEXA 2013-2015. ed. / Wolfgang E. Nagel; Hans-Joachim Bungartz; Philipp Neumann. Springer Verlag, 2016. p. 143-163 (Lecture Notes in Computational Science and Engineering; Vol. 113).

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

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T2 - International Conference on Software for Exascale Computing, SPPEXA 2015

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Recent developments in the theory and application of the sparse grid combination technique

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