FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300708428> ?p ?o ?g. }

• W4300708428 endingPage "16" @default.
• W4300708428 startingPage "1" @default.
• W4300708428 abstract "Highly accurate finite difference schemes are developed for Laplace’s equation with the Dirichlet boundary condition on general bounded regions in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper R Superscript n> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding=application/x-tex>{R^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. A second order accurate scheme is combined with a deferred correction or Richardson extrapolation method to increase the accuracy. The Dirichlet condition is approximated by a method suggested by Heinz-Otto Kreiss. A convergence proof of his, previously not published, is given which shows that, for the interval size <italic>h</italic>, one of the methods has an accuracy of at least <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper O left-parenthesis h Superscript 5.5 Baseline right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>h</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mn>5.5</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>O({h^{5.5}})</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L 2> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>{L_2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. The linear systems of algebraic equations are solved by a capacitance matrix method. The results of our numerical experiments show that highly accurate solutions are obtained with only a slight additional use of computer time when compared to the results obtained by second order accurate methods." @default.
• W4300708428 created "2022-10-04" @default.
• W4300708428 creator A5031771708 @default.
• W4300708428 creator A5061874474 @default.
• W4300708428 creator A5069200267 @default.
• W4300708428 date "1977-01-01" @default.
• W4300708428 modified "2023-09-28" @default.
• W4300708428 title "High order fast Laplace solvers for the Dirichlet problem on general regions" @default.
• W4300708428 cites W1582799643 @default.
• W4300708428 cites W1987031300 @default.
• W4300708428 cites W2042827934 @default.
• W4300708428 cites W2079587092 @default.
• W4300708428 cites W2093900303 @default.
• W4300708428 cites W2122193341 @default.
• W4300708428 cites W2128432029 @default.
• W4300708428 cites W2131453825 @default.
• W4300708428 cites W2988914442 @default.
• W4300708428 cites W4241398431 @default.
• W4300708428 cites W4256587714 @default.
• W4300708428 doi "https://doi.org/10.1090/s0025-5718-1977-0431736-x" @default.
• W4300708428 hasPublicationYear "1977" @default.
• W4300708428 type Work @default.
• W4300708428 citedByCount "30" @default.
• W4300708428 countsByYear W43007084282019 @default.
• W4300708428 countsByYear W43007084282020 @default.
• W4300708428 countsByYear W43007084282022 @default.
• W4300708428 crossrefType "journal-article" @default.
• W4300708428 hasAuthorship W4300708428A5031771708 @default.
• W4300708428 hasAuthorship W4300708428A5061874474 @default.
• W4300708428 hasAuthorship W4300708428A5069200267 @default.
• W4300708428 hasBestOaLocation W43007084281 @default.
• W4300708428 hasConcept C11413529 @default.
• W4300708428 hasConcept C154945302 @default.
• W4300708428 hasConcept C33923547 @default.
• W4300708428 hasConcept C41008148 @default.
• W4300708428 hasConceptScore W4300708428C11413529 @default.
• W4300708428 hasConceptScore W4300708428C154945302 @default.
• W4300708428 hasConceptScore W4300708428C33923547 @default.
• W4300708428 hasConceptScore W4300708428C41008148 @default.
• W4300708428 hasIssue "137" @default.
• W4300708428 hasLocation W43007084281 @default.
• W4300708428 hasLocation W43007084282 @default.
• W4300708428 hasLocation W43007084283 @default.
• W4300708428 hasLocation W43007084284 @default.
• W4300708428 hasOpenAccess W4300708428 @default.
• W4300708428 hasPrimaryLocation W43007084281 @default.
• W4300708428 hasRelatedWork W1979597421 @default.
• W4300708428 hasRelatedWork W2007980826 @default.
• W4300708428 hasRelatedWork W2061531152 @default.
• W4300708428 hasRelatedWork W2077600819 @default.
• W4300708428 hasRelatedWork W2386767533 @default.
• W4300708428 hasRelatedWork W2748952813 @default.
• W4300708428 hasRelatedWork W2899084033 @default.
• W4300708428 hasRelatedWork W3002753104 @default.
• W4300708428 hasRelatedWork W4225152035 @default.
• W4300708428 hasRelatedWork W4245490552 @default.
• W4300708428 hasVolume "31" @default.
• W4300708428 isParatext "false" @default.
• W4300708428 isRetracted "false" @default.
• W4300708428 workType "article" @default.