Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953308052> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2953308052 abstract "The commonly used one step methods and linear multi-step methods all have a global error that is of the same order as the local truncation error (as defined in cite{gustafsson1995time,quarteroni2010numerical,AllenIsaacson,IsaacsonKeller,Sewell}). In fact, this is true of the entire class of general linear methods. In practice, this means that the order of the method is typically defined solely by the order conditions which are derived by studying the local truncation error. In this work, we investigate the interplay between the local truncation error and the global error, and develop a methodology which defines the construction of explicit {em error inhibiting} block one-step methods (alternatively written as explicit general linear methods cite{butcher1993a}). These {em error inhibiting schemes} are constructed so that the accumulation of the local truncation error over time is controlled, which results in a global error that is one order higher than the local truncation error. In this work, we delineate how to carefully choose the coefficient matrices so that the growth of the local truncation error is inhibited. We then use this theoretical understanding to construct several methods that have higher order global error than local truncation error, and demonstrate their enhanced order of accuracy on test cases. These methods demonstrate that the error inhibiting concept is realizable. Future work will further develop new error inhibiting methods and will analyze the computational efficiency and linear stability properties of these methods." @default.
- W2953308052 created "2019-06-27" @default.
- W2953308052 creator A5037955264 @default.
- W2953308052 creator A5075297174 @default.
- W2953308052 date "2017-01-30" @default.
- W2953308052 modified "2023-09-27" @default.
- W2953308052 title "Error Inhibiting Block One-Step Schemes for Ordinary Differential Equations" @default.
- W2953308052 cites W1496738390 @default.
- W2953308052 cites W1512089442 @default.
- W2953308052 cites W1520449192 @default.
- W2953308052 cites W175137405 @default.
- W2953308052 cites W1985494751 @default.
- W2953308052 cites W2047993099 @default.
- W2953308052 cites W2050147584 @default.
- W2953308052 cites W2054313441 @default.
- W2953308052 cites W2080887426 @default.
- W2953308052 cites W2091967202 @default.
- W2953308052 cites W2138301603 @default.
- W2953308052 cites W358724037 @default.
- W2953308052 cites W383376459 @default.
- W2953308052 hasPublicationYear "2017" @default.
- W2953308052 type Work @default.
- W2953308052 sameAs 2953308052 @default.
- W2953308052 citedByCount "0" @default.
- W2953308052 crossrefType "posted-content" @default.
- W2953308052 hasAuthorship W2953308052A5037955264 @default.
- W2953308052 hasAuthorship W2953308052A5075297174 @default.
- W2953308052 hasConcept C103088060 @default.
- W2953308052 hasConcept C104942944 @default.
- W2953308052 hasConcept C105795698 @default.
- W2953308052 hasConcept C106195933 @default.
- W2953308052 hasConcept C11413529 @default.
- W2953308052 hasConcept C126255220 @default.
- W2953308052 hasConcept C127413603 @default.
- W2953308052 hasConcept C134306372 @default.
- W2953308052 hasConcept C18762648 @default.
- W2953308052 hasConcept C2524010 @default.
- W2953308052 hasConcept C2777210771 @default.
- W2953308052 hasConcept C28826006 @default.
- W2953308052 hasConcept C3018824978 @default.
- W2953308052 hasConcept C33923547 @default.
- W2953308052 hasConcept C41008148 @default.
- W2953308052 hasConcept C51544822 @default.
- W2953308052 hasConcept C61005703 @default.
- W2953308052 hasConcept C78045399 @default.
- W2953308052 hasConcept C78519656 @default.
- W2953308052 hasConceptScore W2953308052C103088060 @default.
- W2953308052 hasConceptScore W2953308052C104942944 @default.
- W2953308052 hasConceptScore W2953308052C105795698 @default.
- W2953308052 hasConceptScore W2953308052C106195933 @default.
- W2953308052 hasConceptScore W2953308052C11413529 @default.
- W2953308052 hasConceptScore W2953308052C126255220 @default.
- W2953308052 hasConceptScore W2953308052C127413603 @default.
- W2953308052 hasConceptScore W2953308052C134306372 @default.
- W2953308052 hasConceptScore W2953308052C18762648 @default.
- W2953308052 hasConceptScore W2953308052C2524010 @default.
- W2953308052 hasConceptScore W2953308052C2777210771 @default.
- W2953308052 hasConceptScore W2953308052C28826006 @default.
- W2953308052 hasConceptScore W2953308052C3018824978 @default.
- W2953308052 hasConceptScore W2953308052C33923547 @default.
- W2953308052 hasConceptScore W2953308052C41008148 @default.
- W2953308052 hasConceptScore W2953308052C51544822 @default.
- W2953308052 hasConceptScore W2953308052C61005703 @default.
- W2953308052 hasConceptScore W2953308052C78045399 @default.
- W2953308052 hasConceptScore W2953308052C78519656 @default.
- W2953308052 hasLocation W29533080521 @default.
- W2953308052 hasOpenAccess W2953308052 @default.
- W2953308052 hasPrimaryLocation W29533080521 @default.
- W2953308052 hasRelatedWork W1008252316 @default.
- W2953308052 hasRelatedWork W117050687 @default.
- W2953308052 hasRelatedWork W142129510 @default.
- W2953308052 hasRelatedWork W1430782836 @default.
- W2953308052 hasRelatedWork W1489268493 @default.
- W2953308052 hasRelatedWork W2000486083 @default.
- W2953308052 hasRelatedWork W2019564448 @default.
- W2953308052 hasRelatedWork W2144601936 @default.
- W2953308052 hasRelatedWork W2262276186 @default.
- W2953308052 hasRelatedWork W2583449845 @default.
- W2953308052 hasRelatedWork W2765706271 @default.
- W2953308052 hasRelatedWork W2932128884 @default.
- W2953308052 hasRelatedWork W2978367199 @default.
- W2953308052 hasRelatedWork W2992388248 @default.
- W2953308052 hasRelatedWork W3033153040 @default.
- W2953308052 hasRelatedWork W3046875905 @default.
- W2953308052 hasRelatedWork W3110735768 @default.
- W2953308052 hasRelatedWork W3142818824 @default.
- W2953308052 hasRelatedWork W626867438 @default.
- W2953308052 hasRelatedWork W2186132558 @default.
- W2953308052 isParatext "false" @default.
- W2953308052 isRetracted "false" @default.
- W2953308052 magId "2953308052" @default.
- W2953308052 workType "article" @default.