English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations

Benner, P., Breiten, T., Hartmann, C., & Schmidt, B. (2020). Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics, 7(1), 1-33. doi:10.3934/jcd.2020001.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-73A7-B Version Permalink: http://hdl.handle.net/21.11116/0000-0006-9624-8
Genre: Journal Article

Files

show Files
hide Files
:
1706.09882.pdf (Preprint), 2MB
Name:
1706.09882.pdf
Description:
File downloaded from arXiv at 2018-08-09 09:46
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
2473904_benner.pdf (Publisher version), 2MB
 
File Permalink:
-
Name:
2473904_benner.pdf
Description:
-
Visibility:
Private
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Benner, Peter1, Author              
Breiten, Tobias2, Author
Hartmann, Carsten3, Author
Schmidt, Burkhard4, Author
Affiliations:
1Computational Methods in Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738141              
2Institut für Mathematik, Karl-Franzens-Universität, Graz, Austria, ou_persistent22              
3Institut für Mathematik, Brandenburgische Technische Universität, Cottbus, Germany, ou_persistent22              
4Institut für Mathematik, Freie Universität Berlin, Berlin, Germany, ou_persistent22              

Content

show
hide
Free keywords: Mathematics, Numerical Analysis, math.NA
 Abstract: Model reduction methods for bilinear control systems are compared by means of practical examples of Liouville-von Neumann and Fokker--Planck type. Methods based on balancing generalized system Gramians and on minimizing an H2-type cost functional are considered. The focus is on the numerical implementation and a thorough comparison of the methods. Structure and stability preservation are investigated, and the competitiveness of the approaches is shown for practically relevant, large-scale examples.

Details

show
hide
Language(s):
 Dates: 2020
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.3934/jcd.2020001
URI: http://arxiv.org/abs/1706.09882
arXiv: 1706.09882
Other: data_escidoc:2473904
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of Computational Dynamics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 7 (1) Sequence Number: - Start / End Page: 1 - 33 Identifier: -