FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023137937> ?p ?o ?g. }

• W2023137937 endingPage "1486" @default.
• W2023137937 startingPage "1461" @default.
• W2023137937 abstract "In this paper we are concerned with the problem of solving numerically isospectral flows. These flows are characterized by the differential equation <disp-formula content-type=math/mathml> [ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L prime equals left-bracket upper B left-parenthesis upper L right-parenthesis comma upper L right-bracket comma upper L left-parenthesis 0 right-parenthesis equals upper L 0 comma> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>L</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mo stretchy=false>[</mml:mo> <mml:mi>B</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy=false>]</mml:mo> <mml:mo>,</mml:mo> <mml:mspace width=1em /> <mml:mi>L</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>,</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>L’ = [B(L), L], quad L(0)=L_0,</mml:annotation> </mml:semantics> </mml:math> ] </disp-formula> where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L 0> <mml:semantics> <mml:msub> <mml:mi>L</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:annotation encoding=application/x-tex>L_0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=d times d> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>×<!-- × --></mml:mo> <mml:mi>d</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>dtimes d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> symmetric matrix, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper B left-parenthesis upper L right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>B(L)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a skew-symmetric matrix function of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=application/x-tex>L</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-bracket upper B comma upper L right-bracket> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>[</mml:mo> <mml:mi>B</mml:mi> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy=false>]</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>[B,L]</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is the Lie bracket operator. We show that standard Runge–Kutta schemes fail in recovering the main qualitative feature of these flows, that is isospectrality, since they cannot recover arbitrary cubic conservation laws. This failure motivates us to introduce an alternative approach and establish a framework for generation of isospectral methods of arbitrarily high order." @default.
• W2023137937 created "2016-06-24" @default.
• W2023137937 creator A5027349753 @default.
• W2023137937 creator A5043561924 @default.
• W2023137937 creator A5015777960 @default.
• W2023137937 date "1997-01-01" @default.
• W2023137937 modified "2023-10-18" @default.
• W2023137937 title "Numerical solution of isospectral flows" @default.
• W2023137937 cites W110112130 @default.
• W2023137937 cites W195560018 @default.
• W2023137937 cites W1968106586 @default.
• W2023137937 cites W1970459238 @default.
• W2023137937 cites W1976716603 @default.
• W2023137937 cites W1986367849 @default.
• W2023137937 cites W1988664436 @default.
• W2023137937 cites W1993434194 @default.
• W2023137937 cites W2006042718 @default.
• W2023137937 cites W2008201725 @default.
• W2023137937 cites W2011889975 @default.
• W2023137937 cites W2023462900 @default.
• W2023137937 cites W2023557963 @default.
• W2023137937 cites W2043301878 @default.
• W2023137937 cites W2046824594 @default.
• W2023137937 cites W2057569404 @default.
• W2023137937 cites W2058893615 @default.
• W2023137937 cites W2081567335 @default.
• W2023137937 cites W2084367325 @default.
• W2023137937 cites W2087641473 @default.
• W2023137937 cites W2133776435 @default.
• W2023137937 cites W2152004476 @default.
• W2023137937 cites W2171393177 @default.
• W2023137937 cites W4242859296 @default.
• W2023137937 doi "https://doi.org/10.1090/s0025-5718-97-00902-2" @default.
• W2023137937 hasPublicationYear "1997" @default.
• W2023137937 type Work @default.
• W2023137937 sameAs 2023137937 @default.
• W2023137937 citedByCount "87" @default.
• W2023137937 countsByYear W20231379372013 @default.
• W2023137937 countsByYear W20231379372014 @default.
• W2023137937 countsByYear W20231379372015 @default.
• W2023137937 countsByYear W20231379372016 @default.
• W2023137937 countsByYear W20231379372017 @default.
• W2023137937 countsByYear W20231379372018 @default.
• W2023137937 countsByYear W20231379372019 @default.
• W2023137937 countsByYear W20231379372020 @default.
• W2023137937 countsByYear W20231379372021 @default.
• W2023137937 countsByYear W20231379372022 @default.
• W2023137937 countsByYear W20231379372023 @default.
• W2023137937 crossrefType "journal-article" @default.
• W2023137937 hasAuthorship W2023137937A5015777960 @default.
• W2023137937 hasAuthorship W2023137937A5027349753 @default.
• W2023137937 hasAuthorship W2023137937A5043561924 @default.
• W2023137937 hasBestOaLocation W20231379371 @default.
• W2023137937 hasConcept C11413529 @default.
• W2023137937 hasConcept C154945302 @default.
• W2023137937 hasConcept C41008148 @default.
• W2023137937 hasConceptScore W2023137937C11413529 @default.
• W2023137937 hasConceptScore W2023137937C154945302 @default.
• W2023137937 hasConceptScore W2023137937C41008148 @default.
• W2023137937 hasIssue "220" @default.
• W2023137937 hasLocation W20231379371 @default.
• W2023137937 hasLocation W20231379372 @default.
• W2023137937 hasOpenAccess W2023137937 @default.
• W2023137937 hasPrimaryLocation W20231379371 @default.
• W2023137937 hasRelatedWork W2003465964 @default.
• W2023137937 hasRelatedWork W2051487156 @default.
• W2023137937 hasRelatedWork W2052122378 @default.
• W2023137937 hasRelatedWork W2073681303 @default.
• W2023137937 hasRelatedWork W2317200988 @default.
• W2023137937 hasRelatedWork W2544423928 @default.
• W2023137937 hasRelatedWork W2779362453 @default.
• W2023137937 hasRelatedWork W2181413294 @default.
• W2023137937 hasRelatedWork W2181743346 @default.
• W2023137937 hasRelatedWork W2187401768 @default.
• W2023137937 hasVolume "66" @default.
• W2023137937 isParatext "false" @default.
• W2023137937 isRetracted "false" @default.
• W2023137937 magId "2023137937" @default.
• W2023137937 workType "article" @default.