Krylov subspace methods for the Dirac equation

Beerwerth, Randolf; Bauke, Heiko

doi:10.1016/j.cpc.2014.11.008

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

Krylov subspace methods for the Dirac equation

MPS-Authors

/persons/resource/persons98941

Beerwerth, Randolf
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

/persons/resource/persons30283

Bauke, Heiko
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

External Resource

http://www.sciencedirect.com/science/article/pii/S0010465514003804
(出版社版)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

1407.7370.pdf
(プレプリント), 710KB

付随資料 (公開)

There is no public supplementary material available

引用

Beerwerth, R., & Bauke, H. (2014). Krylov subspace methods for the Dirac equation. Computer Physics Communications, 188, 189-197. doi:10.1016/j.cpc.2014.11.008.

引用: https://hdl.handle.net/11858/00-001M-0000-0024-99CA-B

要旨

The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanczos algorithm can yield very precise eigenenergies and allows very precise time propagation of relativistic wave packets. The unboundedness of the Dirac Hamiltonian does not hinder the applicability of the Lanczos algorithm. As the Lanczos algorithm requires only matrix-vector products and inner products, which both can be efficiently parallelized, it is an ideal method for large-scale calculations. The excellent parallelization capabilities are demonstrated by a parallel implementation of the Dirac Lanczos propagator utilizing the Message Passing Interface standard.