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A surface hopping Gaussian beam method for high-dimensional transport systems

Publication ,  Journal Article
Cai, Z; Lu, J
Published in: SIAM Journal on Scientific Computing
January 1, 2018
Published version (DOI) Open Access Copy (Duke)

We consider a set of linear hyperbolic equations coupled by a linear source term and introduce a surface hopping Gaussian beam method as its numerical solver. The Gaussian beam part is basically classic, while the surface hopping part is derived from the equations. The whole algorithm shows high efficiency and good parallelizability. An application on the quantum-classical Liouville equations is presented to show its potential use in practice.

Duke Scholars

Jianfeng Lu
Author Jianfeng Lu Mathematics

Published In

SIAM Journal on Scientific Computing

DOI

10.1137/17M1121299

EISSN

1095-7197

ISSN

1064-8275

Publication Date

January 1, 2018

Volume

40

Issue

5

Start / End Page

B1277 / B1301

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Cai, Z., & Lu, J. (2018). A surface hopping Gaussian beam method for high-dimensional transport systems. SIAM Journal on Scientific Computing, 40(5), B1277–B1301. https://doi.org/10.1137/17M1121299
Cai, Z., and J. Lu. “A surface hopping Gaussian beam method for high-dimensional transport systems.” SIAM Journal on Scientific Computing 40, no. 5 (January 1, 2018): B1277–1301. https://doi.org/10.1137/17M1121299.
Cai Z, Lu J. A surface hopping Gaussian beam method for high-dimensional transport systems. SIAM Journal on Scientific Computing. 2018 Jan 1;40(5):B1277–301.
Cai, Z., and J. Lu. “A surface hopping Gaussian beam method for high-dimensional transport systems.” SIAM Journal on Scientific Computing, vol. 40, no. 5, Jan. 2018, pp. B1277–301. Scopus, doi:10.1137/17M1121299.
Cai Z, Lu J. A surface hopping Gaussian beam method for high-dimensional transport systems. SIAM Journal on Scientific Computing. 2018 Jan 1;40(5):B1277–B1301.

Published In

SIAM Journal on Scientific Computing

DOI

10.1137/17M1121299

EISSN

1095-7197

ISSN

1064-8275

Publication Date

January 1, 2018

Volume

40

Issue

5

Start / End Page

B1277 / B1301

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics