Stability and accuracy for difference methods using asynchronous processors

Stability and accuracy for difference methods using asynchronous processors

We solve initial boundary value problems with information unavailable at random time-steps. The randomly unavailable information represents asynchrony between processing elements. To approximate the initial boundary value problem, finite difference operators with summation-by-parts proper-ties and w...

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Bibliographic Details
Main Author: Göransson, Albin
Format: Others
Language:English
Published: Linköpings universitet, Matematiska institutionen 2018
Subjects:
asynchronous problems
partial diffrence equations
initial boundary value problems
parallel computing
Computational Mathematics
Beräkningsmatematik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-146045
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spelling ndltd-UPSALLA1-oai-DiVA.org-liu-1460452019-09-10T04:28:54ZStability and accuracy for difference methods using asynchronous processorsengGöransson, AlbinLinköpings universitet, Matematiska institutionenLinköpings universitet, Tekniska fakulteten2018asynchronous problemspartial diffrence equationsinitial boundary value problemsparallel computingComputational MathematicsBeräkningsmatematikWe solve initial boundary value problems with information unavailable at random time-steps. The randomly unavailable information represents asynchrony between processing elements. To approximate the initial boundary value problem, finite difference operators with summation-by-parts proper-ties and weak boundary procedures are used. Utilizing the energy method, we derive energy estimates for synchronous and asynchronous problems. The simulations show that the solutions may remain accurate and stable, even in the asynchronous case. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-146045application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic asynchronous problems
partial diffrence equations
initial boundary value problems
parallel computing
Computational Mathematics
Beräkningsmatematik
spellingShingle asynchronous problems
partial diffrence equations
initial boundary value problems
parallel computing
Computational Mathematics
Beräkningsmatematik
Göransson, Albin
Stability and accuracy for difference methods using asynchronous processors
description We solve initial boundary value problems with information unavailable at random time-steps. The randomly unavailable information represents asynchrony between processing elements. To approximate the initial boundary value problem, finite difference operators with summation-by-parts proper-ties and weak boundary procedures are used. Utilizing the energy method, we derive energy estimates for synchronous and asynchronous problems. The simulations show that the solutions may remain accurate and stable, even in the asynchronous case.
author Göransson, Albin
author_facet Göransson, Albin
author_sort Göransson, Albin
title Stability and accuracy for difference methods using asynchronous processors
title_short Stability and accuracy for difference methods using asynchronous processors
title_full Stability and accuracy for difference methods using asynchronous processors
title_fullStr Stability and accuracy for difference methods using asynchronous processors
title_full_unstemmed Stability and accuracy for difference methods using asynchronous processors
title_sort stability and accuracy for difference methods using asynchronous processors
publisher Linköpings universitet, Matematiska institutionen
publishDate 2018
url http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-146045
work_keys_str_mv AT goranssonalbin stabilityandaccuracyfordifferencemethodsusingasynchronousprocessors
_version_ 1719249777412014080

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