Matches in SemOpenAlex for { <https://semopenalex.org/work/W4249817611> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4249817611 endingPage "145" @default.
- W4249817611 startingPage "145" @default.
- W4249817611 abstract "The stiffness in some systems of nonlinear differential equations is shown to be characterized by single stiff equations of the form [ yâ = gâ(x) + lambda {y - g(x)}.] The stability and accuracy of numerical approximations to the solution $y = g(x)$, obtained using implicit one-step integration methods, are studied. An S-stability property is introduced for this problem, generalizing the concept of A-stability. A set of stiffly accurate one-step methods is identified and the concept of stiff order is defined in the limit $operatorname {Re}(-lambda ) to infty$. These additional properties are enumerated for several classes of A-stable one-step methods, and are used to predict the behaviour of numerical solutions to stiff nonlinear initial-value problems obtained using such methods. A family of methods based on a compromise between accuracy and stability considerations is recommended for use on practical problems." @default.
- W4249817611 created "2022-05-12" @default.
- W4249817611 creator A5056250015 @default.
- W4249817611 creator A5072611399 @default.
- W4249817611 date "1974-01-01" @default.
- W4249817611 modified "2023-09-26" @default.
- W4249817611 title "On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations" @default.
- W4249817611 doi "https://doi.org/10.2307/2005822" @default.
- W4249817611 hasPublicationYear "1974" @default.
- W4249817611 type Work @default.
- W4249817611 citedByCount "6" @default.
- W4249817611 countsByYear W42498176112019 @default.
- W4249817611 countsByYear W42498176112023 @default.
- W4249817611 crossrefType "journal-article" @default.
- W4249817611 hasAuthorship W4249817611A5056250015 @default.
- W4249817611 hasAuthorship W4249817611A5072611399 @default.
- W4249817611 hasBestOaLocation W42498176111 @default.
- W4249817611 hasConcept C111472728 @default.
- W4249817611 hasConcept C112972136 @default.
- W4249817611 hasConcept C119857082 @default.
- W4249817611 hasConcept C120665830 @default.
- W4249817611 hasConcept C121332964 @default.
- W4249817611 hasConcept C134306372 @default.
- W4249817611 hasConcept C138885662 @default.
- W4249817611 hasConcept C151201525 @default.
- W4249817611 hasConcept C152522140 @default.
- W4249817611 hasConcept C158622935 @default.
- W4249817611 hasConcept C165242687 @default.
- W4249817611 hasConcept C177264268 @default.
- W4249817611 hasConcept C186219872 @default.
- W4249817611 hasConcept C189950617 @default.
- W4249817611 hasConcept C199360897 @default.
- W4249817611 hasConcept C2778113609 @default.
- W4249817611 hasConcept C28826006 @default.
- W4249817611 hasConcept C33923547 @default.
- W4249817611 hasConcept C41008148 @default.
- W4249817611 hasConcept C48753275 @default.
- W4249817611 hasConcept C51544822 @default.
- W4249817611 hasConcept C62520636 @default.
- W4249817611 hasConcept C78045399 @default.
- W4249817611 hasConceptScore W4249817611C111472728 @default.
- W4249817611 hasConceptScore W4249817611C112972136 @default.
- W4249817611 hasConceptScore W4249817611C119857082 @default.
- W4249817611 hasConceptScore W4249817611C120665830 @default.
- W4249817611 hasConceptScore W4249817611C121332964 @default.
- W4249817611 hasConceptScore W4249817611C134306372 @default.
- W4249817611 hasConceptScore W4249817611C138885662 @default.
- W4249817611 hasConceptScore W4249817611C151201525 @default.
- W4249817611 hasConceptScore W4249817611C152522140 @default.
- W4249817611 hasConceptScore W4249817611C158622935 @default.
- W4249817611 hasConceptScore W4249817611C165242687 @default.
- W4249817611 hasConceptScore W4249817611C177264268 @default.
- W4249817611 hasConceptScore W4249817611C186219872 @default.
- W4249817611 hasConceptScore W4249817611C189950617 @default.
- W4249817611 hasConceptScore W4249817611C199360897 @default.
- W4249817611 hasConceptScore W4249817611C2778113609 @default.
- W4249817611 hasConceptScore W4249817611C28826006 @default.
- W4249817611 hasConceptScore W4249817611C33923547 @default.
- W4249817611 hasConceptScore W4249817611C41008148 @default.
- W4249817611 hasConceptScore W4249817611C48753275 @default.
- W4249817611 hasConceptScore W4249817611C51544822 @default.
- W4249817611 hasConceptScore W4249817611C62520636 @default.
- W4249817611 hasConceptScore W4249817611C78045399 @default.
- W4249817611 hasIssue "125" @default.
- W4249817611 hasLocation W42498176111 @default.
- W4249817611 hasOpenAccess W4249817611 @default.
- W4249817611 hasPrimaryLocation W42498176111 @default.
- W4249817611 hasRelatedWork W1488028110 @default.
- W4249817611 hasRelatedWork W166617908 @default.
- W4249817611 hasRelatedWork W2057998877 @default.
- W4249817611 hasRelatedWork W2084887670 @default.
- W4249817611 hasRelatedWork W2127691782 @default.
- W4249817611 hasRelatedWork W2183233158 @default.
- W4249817611 hasRelatedWork W2286595471 @default.
- W4249817611 hasRelatedWork W2593147858 @default.
- W4249817611 hasRelatedWork W3216402235 @default.
- W4249817611 hasRelatedWork W2410006316 @default.
- W4249817611 hasVolume "28" @default.
- W4249817611 isParatext "false" @default.
- W4249817611 isRetracted "false" @default.
- W4249817611 workType "article" @default.