FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2938365008> ?p ?o ?g. }

• W2938365008 endingPage "78" @default.
• W2938365008 startingPage "61" @default.
• W2938365008 abstract "Abstract We study approximations of eigenvalue problems for integral operators associated with kernel functions of exponential type. We show convergence rate <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mo fence=true stretchy=false>|</m:mo> <m:mrow> <m:msub> <m:mi>λ</m:mi> <m:mi>k</m:mi> </m:msub> <m:mo>-</m:mo> <m:msub> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> </m:msub> </m:mrow> <m:mo fence=true stretchy=false>|</m:mo> </m:mrow> <m:mo>≤</m:mo> <m:mrow> <m:msub> <m:mi>C</m:mi> <m:mi>k</m:mi> </m:msub> <m:mo>⁢</m:mo> <m:msup> <m:mi>h</m:mi> <m:mn>2</m:mn> </m:msup> </m:mrow> </m:mrow> </m:math> {lvertlambda_{k}-lambda_{k,h}rvertleq C_{k}h^{2}} in the case of lowest order approximation for both Galerkin and Nyström methods, where h is the mesh size, <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi>λ</m:mi> <m:mi>k</m:mi> </m:msub> </m:math> {lambda_{k}} and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> </m:msub> </m:math> {lambda_{k,h}} are the exact and approximate k th largest eigenvalues, respectively. We prove that the two methods are numerically equivalent in the sense that <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mo stretchy=false>|</m:mo> <m:mrow> <m:msubsup> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>G</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:msubsup> <m:mo>-</m:mo> <m:msubsup> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>N</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:msubsup> </m:mrow> <m:mo stretchy=false>|</m:mo> </m:mrow> <m:mo>≤</m:mo> <m:mrow> <m:mi>C</m:mi> <m:mo>⁢</m:mo> <m:msup> <m:mi>h</m:mi> <m:mn>2</m:mn> </m:msup> </m:mrow> </m:mrow> </m:math> {|lambda^{(G)}_{k,h}-lambda^{(N)}_{k,h}|leq Ch^{2}} , where <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msubsup> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>G</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:msubsup> </m:math> {lambda^{(G)}_{k,h}} and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msubsup> <m:mi>λ</m:mi> <m:mrow> <m:mi>k</m:mi> <m:mo>,</m:mo> <m:mi>h</m:mi> </m:mrow> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>N</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:msubsup> </m:math> {lambda^{(N)}_{k,h}} denote the k th largest eigenvalues computed by Galerkin and Nyström methods, respectively, and C is a eigenvalue independent constant. The theoretical results are accompanied by a series of numerical experiments." @default.
• W2938365008 created "2019-04-25" @default.
• W2938365008 creator A5001132837 @default.
• W2938365008 creator A5027636165 @default.
• W2938365008 date "2019-04-06" @default.
• W2938365008 modified "2023-09-25" @default.
• W2938365008 title "Eigenvalue Problems for Exponential-Type Kernels" @default.
• W2938365008 cites W1485916122 @default.
• W2938365008 cites W1538934584 @default.
• W2938365008 cites W1588963622 @default.
• W2938365008 cites W1663973292 @default.
• W2938365008 cites W1970136394 @default.
• W2938365008 cites W1978892031 @default.
• W2938365008 cites W1979254596 @default.
• W2938365008 cites W2001870743 @default.
• W2938365008 cites W2006379563 @default.
• W2938365008 cites W2040086358 @default.
• W2938365008 cites W2042858439 @default.
• W2938365008 cites W2060528584 @default.
• W2938365008 cites W2072205359 @default.
• W2938365008 cites W2077864014 @default.
• W2938365008 cites W2082624758 @default.
• W2938365008 cites W2091491115 @default.
• W2938365008 cites W2488701244 @default.
• W2938365008 cites W2613465422 @default.
• W2938365008 cites W4213212409 @default.
• W2938365008 cites W4231088607 @default.
• W2938365008 cites W4242722506 @default.
• W2938365008 doi "https://doi.org/10.1515/cmam-2018-0186" @default.
• W2938365008 hasPublicationYear "2019" @default.
• W2938365008 type Work @default.
• W2938365008 sameAs 2938365008 @default.
• W2938365008 citedByCount "7" @default.
• W2938365008 countsByYear W29383650082021 @default.
• W2938365008 countsByYear W29383650082022 @default.
• W2938365008 countsByYear W29383650082023 @default.
• W2938365008 crossrefType "journal-article" @default.
• W2938365008 hasAuthorship W2938365008A5001132837 @default.
• W2938365008 hasAuthorship W2938365008A5027636165 @default.
• W2938365008 hasBestOaLocation W29383650081 @default.
• W2938365008 hasConcept C113196181 @default.
• W2938365008 hasConcept C114614502 @default.
• W2938365008 hasConcept C121332964 @default.
• W2938365008 hasConcept C185592680 @default.
• W2938365008 hasConcept C18903297 @default.
• W2938365008 hasConcept C2777299769 @default.
• W2938365008 hasConcept C2778113609 @default.
• W2938365008 hasConcept C33923547 @default.
• W2938365008 hasConcept C43617362 @default.
• W2938365008 hasConcept C62520636 @default.
• W2938365008 hasConcept C86803240 @default.
• W2938365008 hasConceptScore W2938365008C113196181 @default.
• W2938365008 hasConceptScore W2938365008C114614502 @default.
• W2938365008 hasConceptScore W2938365008C121332964 @default.
• W2938365008 hasConceptScore W2938365008C185592680 @default.
• W2938365008 hasConceptScore W2938365008C18903297 @default.
• W2938365008 hasConceptScore W2938365008C2777299769 @default.
• W2938365008 hasConceptScore W2938365008C2778113609 @default.
• W2938365008 hasConceptScore W2938365008C33923547 @default.
• W2938365008 hasConceptScore W2938365008C43617362 @default.
• W2938365008 hasConceptScore W2938365008C62520636 @default.
• W2938365008 hasConceptScore W2938365008C86803240 @default.
• W2938365008 hasFunder F4320306076 @default.
• W2938365008 hasFunder F4320338286 @default.
• W2938365008 hasIssue "1" @default.
• W2938365008 hasLocation W29383650081 @default.
• W2938365008 hasLocation W29383650082 @default.
• W2938365008 hasOpenAccess W2938365008 @default.
• W2938365008 hasPrimaryLocation W29383650081 @default.
• W2938365008 hasRelatedWork W1978042415 @default.
• W2938365008 hasRelatedWork W2000506818 @default.
• W2938365008 hasRelatedWork W2058591591 @default.
• W2938365008 hasRelatedWork W2073871740 @default.
• W2938365008 hasRelatedWork W2597526809 @default.
• W2938365008 hasRelatedWork W2806984643 @default.
• W2938365008 hasRelatedWork W3099118046 @default.
• W2938365008 hasRelatedWork W3099676302 @default.
• W2938365008 hasRelatedWork W121402011 @default.
• W2938365008 hasRelatedWork W2467037348 @default.
• W2938365008 hasVolume "20" @default.
• W2938365008 isParatext "false" @default.
• W2938365008 isRetracted "false" @default.
• W2938365008 magId "2938365008" @default.
• W2938365008 workType "article" @default.