FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2090581346> ?p ?o ?g. }

• W2090581346 endingPage "583" @default.
• W2090581346 startingPage "555" @default.
• W2090581346 abstract "We consider the Cauchy problem for the first and the second order differential equations in Banach and Hilbert spaces with an operator coefficient <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A left-parenthesis t right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>A(t)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> depending on the parameter <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=t> <mml:semantics> <mml:mi>t</mml:mi> <mml:annotation encoding=application/x-tex>t</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We develop discretization methods with high parallelism level and without accuracy saturation; i.e., the accuracy adapts automatically to the smoothness of the solution. For analytical solutions the rate of convergence is exponential. These results can be viewed as a development of parallel approximations of the operator exponential <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=e Superscript minus t upper A> <mml:semantics> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>−<!-- − --></mml:mo> <mml:mi>t</mml:mi> <mml:mi>A</mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>e^{-tA}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and of the operator cosine family <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=cosine StartRoot upper A EndRoot t> <mml:semantics> <mml:mrow> <mml:mi>cos</mml:mi> <mml:mo>⁡<!-- ⁡ --></mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msqrt> <mml:mi>A</mml:mi> </mml:msqrt> <mml:mi>t</mml:mi> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>cos {sqrt {A} t}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with a constant operator <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A> <mml:semantics> <mml:mi>A</mml:mi> <mml:annotation encoding=application/x-tex>A</mml:annotation> </mml:semantics> </mml:math> </inline-formula> possessing exponential accuracy and based on the Sinc-quadrature approximations of the corresponding Dunford-Cauchy integral representations of solutions or the solution operators." @default.
• W2090581346 created "2016-06-24" @default.
• W2090581346 creator A5009476835 @default.
• W2090581346 creator A5057130441 @default.
• W2090581346 date "2004-10-27" @default.
• W2090581346 modified "2023-10-18" @default.
• W2090581346 title "Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces" @default.
• W2090581346 cites W1527296550 @default.
• W2090581346 cites W1972210335 @default.
• W2090581346 cites W1998665522 @default.
• W2090581346 cites W2012405708 @default.
• W2090581346 cites W2018419001 @default.
• W2090581346 cites W2030565709 @default.
• W2090581346 cites W2031667286 @default.
• W2090581346 cites W2043432681 @default.
• W2090581346 cites W2060176450 @default.
• W2090581346 cites W3042562017 @default.
• W2090581346 cites W4246792763 @default.
• W2090581346 cites W4293185733 @default.
• W2090581346 cites W4298060601 @default.
• W2090581346 cites W4300794954 @default.
• W2090581346 doi "https://doi.org/10.1090/s0025-5718-04-01720-x" @default.
• W2090581346 hasPublicationYear "2004" @default.
• W2090581346 type Work @default.
• W2090581346 sameAs 2090581346 @default.
• W2090581346 citedByCount "10" @default.
• W2090581346 countsByYear W20905813462012 @default.
• W2090581346 countsByYear W20905813462013 @default.
• W2090581346 countsByYear W20905813462016 @default.
• W2090581346 crossrefType "journal-article" @default.
• W2090581346 hasAuthorship W2090581346A5009476835 @default.
• W2090581346 hasAuthorship W2090581346A5057130441 @default.
• W2090581346 hasBestOaLocation W20905813461 @default.
• W2090581346 hasConcept C11413529 @default.
• W2090581346 hasConcept C154945302 @default.
• W2090581346 hasConcept C33923547 @default.
• W2090581346 hasConcept C41008148 @default.
• W2090581346 hasConceptScore W2090581346C11413529 @default.
• W2090581346 hasConceptScore W2090581346C154945302 @default.
• W2090581346 hasConceptScore W2090581346C33923547 @default.
• W2090581346 hasConceptScore W2090581346C41008148 @default.
• W2090581346 hasIssue "250" @default.
• W2090581346 hasLocation W20905813461 @default.
• W2090581346 hasLocation W20905813462 @default.
• W2090581346 hasOpenAccess W2090581346 @default.
• W2090581346 hasPrimaryLocation W20905813461 @default.
• W2090581346 hasRelatedWork W1974891317 @default.
• W2090581346 hasRelatedWork W1979597421 @default.
• W2090581346 hasRelatedWork W2007980826 @default.
• W2090581346 hasRelatedWork W2351491280 @default.
• W2090581346 hasRelatedWork W2371447506 @default.
• W2090581346 hasRelatedWork W2386767533 @default.
• W2090581346 hasRelatedWork W2748952813 @default.
• W2090581346 hasRelatedWork W2899084033 @default.
• W2090581346 hasRelatedWork W303980170 @default.
• W2090581346 hasRelatedWork W3107474891 @default.
• W2090581346 hasVolume "74" @default.
• W2090581346 isParatext "false" @default.
• W2090581346 isRetracted "false" @default.
• W2090581346 magId "2090581346" @default.
• W2090581346 workType "article" @default.