A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR

Jingwei Hu; Lexing Ying

doi:10.4310/cms.2012.v10.n3.a13

A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR

Jingwei Hu, Lexing Ying

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

his paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluated efficiently. The new approach is based on the fundamental property of the exponential function which allows one to construct a new decomposition of the collision kernel to speed up the computation. Numerical results in 2-D and 3-D for both the Bose gas and the Fermi gas are presented to illustrate the accuracy and efficiency of the method.

Original language	English (US)
Pages (from-to)	989-999
Number of pages	11
Journal	COMMUNICATIONS IN MATHEMATICAL SCIENCES
Volume	10
Issue number	3
DOIs	https://doi.org/10.4310/cms.2012.v10.n3.a13
State	Published - 2012
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-09-17
Acknowledgements: J.H. would like to thank KAUST for their generous support. L.Y. was supported in part by the NSF under CAREER grant DMS-0846501.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Applied Mathematics
General Mathematics

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10.4310/cms.2012.v10.n3.a13

Cite this

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abstract = "his paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluated efficiently. The new approach is based on the fundamental property of the exponential function which allows one to construct a new decomposition of the collision kernel to speed up the computation. Numerical results in 2-D and 3-D for both the Bose gas and the Fermi gas are presented to illustrate the accuracy and efficiency of the method.",

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note = "KAUST Repository Item: Exported on 2021-09-17 Acknowledgements: J.H. would like to thank KAUST for their generous support. L.Y. was supported in part by the NSF under CAREER grant DMS-0846501. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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doi = "10.4310/cms.2012.v10.n3.a13",

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AB - his paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluated efficiently. The new approach is based on the fundamental property of the exponential function which allows one to construct a new decomposition of the collision kernel to speed up the computation. Numerical results in 2-D and 3-D for both the Bose gas and the Fermi gas are presented to illustrate the accuracy and efficiency of the method.

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A FAST SPECTRAL ALGORITHM FOR THE QUANTUM BOLTZMANN COLLISION OPERATOR

Abstract

Bibliographical note

ASJC Scopus subject areas

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