liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Transforming Systems of PDEs for Efficient Numerical Solution
Linköping University, Department of Computer and Information Science. Linköping University, The Institute of Technology.
Linköping University, Department of Computer and Information Science, PELAB - Programming Environment Laboratory. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-3435-4996
Linköping University, Department of Computer and Information Science. Linköping University, The Institute of Technology.
1999 (English)Conference paper, Published paper (Refereed)
Abstract [en]

A Mathematica package to deal with a system of partial differential equations (PDEs) is presented. This package usesexplicit finite−difference schemes to handle equations in an arbitrary number of variables that are functions of onespatial variable and time. The code has the flexibility to incorporate any difference approximation specified by theuser, and transforms the given system of PDEs into a system of difference equations that can be iteratively solved using the discretized forms of initial and boundary conditions. The iteration is made considerably faster by converting the Mathematica code into an optimized C++ code using the MathCode C++ compiler[1]. Examples are presented in which the generated C++ code runs about a thousand times faster than the Mathematica code.

Place, publisher, year, edition, pages
1999.
Keyword [en]
PDE, partial differential equation, finite-difference, difference approximation, discrete initial conditions, discrete boundary conditions, MathCode C++
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-110165OAI: oai:DiVA.org:liu-110165DiVA: diva2:743226
Conference
Third International Mathematica Symposium (IMS 1999), Linz, Austria
Available from: 2014-09-03 Created: 2014-09-03 Last updated: 2014-10-06

Open Access in DiVA

No full text

Other links

Link to paper

Authority records BETA

Wrangsjö, AndreasFritzson, Peter

Search in DiVA

By author/editor
Wrangsjö, AndreasFritzson, Peter
By organisation
Department of Computer and Information ScienceThe Institute of TechnologyPELAB - Programming Environment Laboratory
Electrical Engineering, Electronic Engineering, Information Engineering

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 137 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf