FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2803516107> ?p ?o ?g. }

• W2803516107 endingPage "A1472" @default.
• W2803516107 startingPage "A1446" @default.
• W2803516107 abstract "In this paper, we present an idea toward parallel coarse grid correction (CGC) for the parareal algorithm. It is well known that such a CGC procedure is often the bottleneck of speedup of the parareal algorithm. For an ODE system with initial-value condition $u(0)=u_0$ the idea can be explained as follows. First, we apply the $mathcal{G}$-propagator to the same ODE system but with a special condition $u(0)=alpha u(T)$, where $alphainmathbb{R}$ is a crux parameter. Second, in each iteration of the parareal algorithm the CGC procedure will be carried out by the so-called diagonalization technique established recently. The parameter $alpha$ controls both the roundoff error arising from such a diagonalization technique and the convergence rate of the resulting parareal algorithm. We show that there exists some threshold $alpha^*$ such that the parareal algorithm with diagonalization-based CGC possesses the same convergence rate as that of the parareal algorithm with classical CGC if $|alpha|leq alpha^*$. With $|alpha|=alpha^*$, we show that the condition number associated with the diagonalization technique is a moderate quantity of order $mathcal{O}(1)$ (and therefore the roundoff error is small) and is independent of the length of the time interval. Numerical results are given to support our findings." @default.
• W2803516107 created "2018-06-01" @default.
• W2803516107 creator A5021118595 @default.
• W2803516107 date "2018-01-01" @default.
• W2803516107 modified "2023-09-30" @default.
• W2803516107 title "Toward Parallel Coarse Grid Correction for the Parareal Algorithm" @default.
• W2803516107 cites W1691400334 @default.
• W2803516107 cites W1820706094 @default.
• W2803516107 cites W1966394094 @default.
• W2803516107 cites W1994678449 @default.
• W2803516107 cites W2001011967 @default.
• W2803516107 cites W2004351462 @default.
• W2803516107 cites W2012630580 @default.
• W2803516107 cites W2014492721 @default.
• W2803516107 cites W2021566759 @default.
• W2803516107 cites W2027491117 @default.
• W2803516107 cites W2040549599 @default.
• W2803516107 cites W2060526862 @default.
• W2803516107 cites W2068180086 @default.
• W2803516107 cites W2070139122 @default.
• W2803516107 cites W2072706249 @default.
• W2803516107 cites W2086500292 @default.
• W2803516107 cites W2105970221 @default.
• W2803516107 cites W2129600241 @default.
• W2803516107 cites W2150635106 @default.
• W2803516107 cites W2164100266 @default.
• W2803516107 cites W2245867738 @default.
• W2803516107 cites W2468167876 @default.
• W2803516107 cites W2527756105 @default.
• W2803516107 cites W2594128612 @default.
• W2803516107 cites W2596342056 @default.
• W2803516107 cites W2765729611 @default.
• W2803516107 cites W2950756295 @default.
• W2803516107 cites W3038015656 @default.
• W2803516107 doi "https://doi.org/10.1137/17m1141102" @default.
• W2803516107 hasPublicationYear "2018" @default.
• W2803516107 type Work @default.
• W2803516107 sameAs 2803516107 @default.
• W2803516107 citedByCount "24" @default.
• W2803516107 countsByYear W28035161072019 @default.
• W2803516107 countsByYear W28035161072020 @default.
• W2803516107 countsByYear W28035161072021 @default.
• W2803516107 countsByYear W28035161072022 @default.
• W2803516107 countsByYear W28035161072023 @default.
• W2803516107 crossrefType "journal-article" @default.
• W2803516107 hasAuthorship W2803516107A5021118595 @default.
• W2803516107 hasConcept C10138342 @default.
• W2803516107 hasConcept C104416048 @default.
• W2803516107 hasConcept C11413529 @default.
• W2803516107 hasConcept C114614502 @default.
• W2803516107 hasConcept C127162648 @default.
• W2803516107 hasConcept C134306372 @default.
• W2803516107 hasConcept C162324750 @default.
• W2803516107 hasConcept C182306322 @default.
• W2803516107 hasConcept C26955809 @default.
• W2803516107 hasConcept C2777303404 @default.
• W2803516107 hasConcept C28826006 @default.
• W2803516107 hasConcept C31258907 @default.
• W2803516107 hasConcept C33923547 @default.
• W2803516107 hasConcept C34862557 @default.
• W2803516107 hasConcept C37914503 @default.
• W2803516107 hasConcept C41008148 @default.
• W2803516107 hasConcept C50522688 @default.
• W2803516107 hasConcept C57869625 @default.
• W2803516107 hasConceptScore W2803516107C10138342 @default.
• W2803516107 hasConceptScore W2803516107C104416048 @default.
• W2803516107 hasConceptScore W2803516107C11413529 @default.
• W2803516107 hasConceptScore W2803516107C114614502 @default.
• W2803516107 hasConceptScore W2803516107C127162648 @default.
• W2803516107 hasConceptScore W2803516107C134306372 @default.
• W2803516107 hasConceptScore W2803516107C162324750 @default.
• W2803516107 hasConceptScore W2803516107C182306322 @default.
• W2803516107 hasConceptScore W2803516107C26955809 @default.
• W2803516107 hasConceptScore W2803516107C2777303404 @default.
• W2803516107 hasConceptScore W2803516107C28826006 @default.
• W2803516107 hasConceptScore W2803516107C31258907 @default.
• W2803516107 hasConceptScore W2803516107C33923547 @default.
• W2803516107 hasConceptScore W2803516107C34862557 @default.
• W2803516107 hasConceptScore W2803516107C37914503 @default.
• W2803516107 hasConceptScore W2803516107C41008148 @default.
• W2803516107 hasConceptScore W2803516107C50522688 @default.
• W2803516107 hasConceptScore W2803516107C57869625 @default.
• W2803516107 hasFunder F4320321001 @default.
• W2803516107 hasIssue "3" @default.
• W2803516107 hasLocation W28035161071 @default.
• W2803516107 hasOpenAccess W2803516107 @default.
• W2803516107 hasPrimaryLocation W28035161071 @default.
• W2803516107 hasRelatedWork W130791004 @default.
• W2803516107 hasRelatedWork W1501782796 @default.
• W2803516107 hasRelatedWork W2050961887 @default.
• W2803516107 hasRelatedWork W2133789993 @default.
• W2803516107 hasRelatedWork W2202093583 @default.
• W2803516107 hasRelatedWork W2589586168 @default.
• W2803516107 hasRelatedWork W2936671982 @default.
• W2803516107 hasRelatedWork W4317931041 @default.
• W2803516107 hasRelatedWork W3090364315 @default.
• W2803516107 hasRelatedWork W4286986829 @default.
• W2803516107 hasVolume "40" @default.

• next