Hierarchical matrices in computations of electron dynamics

DOI10.1007/s10915-009-9330-0zbMath1203.81003OpenAlexW2018511088MaRDI QIDQ618533

Gerald Jordan, Armin Scrinzi, Othmar Koch, Christopher Ede

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9330-0

zbMATH Keywords

hierarchical matricesmulti-configuration time-dependent Hartree-Fock methodtime-dependent multi-particle Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Uses Software

• MCTDH

Cites Work

• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Construction and arithmetics of \(\mathcal H\)-matrices
• A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
• Stabilized rounded addition of hierarchical matrices
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