Tensor product methods in numerical simulation of high-dimensional dynamical problems

Tensor product methods in numerical simulation of high-dimensional dynamical problems

Quantification of stochastic or quantum systems by a joint probability density or wave function is a notoriously difficult computational problem, since the solution depends on all possible states (or realizations) of the system. Due to this combinatorial flavor, even a system containing as few as te...

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Bibliographic Details
Main Author: Dolgov, Sergey
Other Authors: Universität Leipzig, Fakultät für Mathematik und Informatik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Leipzig 2014
Subjects:
Hochdimensionale Probleme
DMRG
MPS
Tensor Train Format
alternierende Verfahren
stochastische Probleme
chemische Mastergleichung
Fokker-Planck Gleichung
high-dimensional problems
tensor train format
alternating methods
stochastic problems
chemical master equation
Fokker-Planck equation
ddc:500
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151129
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151129
http://www.qucosa.de/fileadmin/data/qucosa/documents/15112/phd1.pdf

Internet

http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151129
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151129
http://www.qucosa.de/fileadmin/data/qucosa/documents/15112/phd1.pdf

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