Hierarchical Matrices in Computations of Electron Dynamics

Abstract  We discuss the approximation of the meanfield terms appearing in computations of the multi-configuration time-dependent Hartree–Fock
method for the solution of the time-dependent multi-particle (electronic) Schrödinger equation by hierarchical matrices. We
give theoretical error bounds for the cross approximation defined by low rank approximations of admissible matrix sub-blocks, and illustrate the gain in performance by numerical experiments.

• Content Type Journal Article
• DOI 10.1007/s10915-009-9330-0
• Authors
  
  
  • Othmar Koch, Vienna University of Technology Institute for Analysis and Scientific Computing (E101) Wiedner Hauptstraße 8–10 1040 Vienna Austria
  • Christopher Ede, Vienna University of Technology Photonics Institute (E387) Gußhausstraße 27 1040 Vienna Austria
  • Gerald Jordan, Vienna University of Technology Photonics Institute (E387) Gußhausstraße 27 1040 Vienna Austria
  • Armin Scrinzi, Vienna University of Technology Photonics Institute (E387) Gußhausstraße 27 1040 Vienna Austria
  
  

• Journal Journal of Scientific Computing
• Online ISSN 1573-7691
• Print ISSN 0885-7474

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Original source : http://www.springerlink.com/content/r3p37r20657378...