About: Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
rdfs:seeAlso
Description
  • Due to storage requirements and computational complexity, the approximate solution of PDEs computed by standard numerical methods is usually limited to problems with up to three or four dimensions. In our contribution, we use recently proposed wavelets based on quadratic splines to solve the Poisson equation with Dirichlet boundary conditions in higher dimensions. We describe here our algorithm of matrix-vector multiplication which takes account of the special structure of wavelet stiffness matrices and enables scalable parallelization. At the end, we show its performance for problems up to six dimensions.
  • Due to storage requirements and computational complexity, the approximate solution of PDEs computed by standard numerical methods is usually limited to problems with up to three or four dimensions. In our contribution, we use recently proposed wavelets based on quadratic splines to solve the Poisson equation with Dirichlet boundary conditions in higher dimensions. We describe here our algorithm of matrix-vector multiplication which takes account of the special structure of wavelet stiffness matrices and enables scalable parallelization. At the end, we show its performance for problems up to six dimensions. (en)
Title
  • Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions
  • Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions (en)
skos:prefLabel
  • Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions
  • Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions (en)
skos:notation
  • RIV/46747885:24510/13:#0001139!RIV15-MSM-24510___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 95296
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24510/13:#0001139
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Wavelets; numerical methods; differential equations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [C83693E696DF]
http://linked.open...v/mistoKonaniAkce
  • Sozopol
http://linked.open...i/riv/mistoVydani
  • MELVILLE, NY 11747-4501 USA
http://linked.open...i/riv/nazevZdroje
  • APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Finěk, Václav
  • Šimůnková, Martina
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000346051300026
http://linked.open.../riv/zahajeniAkce
issn
  • 0094-243X
number of pages
http://purl.org/ne...btex#hasPublisher
  • American Institute of Physics
http://localhost/t...ganizacniJednotka
  • 24510
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 106 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software