Matches in SemOpenAlex for { <https://semopenalex.org/work/W1991118946> ?p ?o ?g. }
- W1991118946 endingPage "390" @default.
- W1991118946 startingPage "380" @default.
- W1991118946 abstract "We consider the numerical integration of high-order linear non-homogeneous differential equations, written as first order homogeneous linear equations, and using exponential methods. Integrators like Magnus expansions or commutator-free methods belong to the class of exponential methods showing high accuracy on stiff or oscillatory problems, but the computation of the exponentials or their action on vectors can be computationally costly. The first order differential equations to be solved present a special algebraic structure (associated with the companion matrix) which allows to build new methods (hybrid methods between Magnus and commutator-free methods). The new methods are of similar accuracy as standard exponential methods with a reduced complexity. Additional parameters can be included into the scheme for optimization purposes. We illustrate how these methods can be obtained and present several sixth-order methods which are tested in several numerical experiments." @default.
- W1991118946 created "2016-06-24" @default.
- W1991118946 creator A5027849757 @default.
- W1991118946 creator A5045707678 @default.
- W1991118946 creator A5063983931 @default.
- W1991118946 creator A5075969053 @default.
- W1991118946 date "2016-01-01" @default.
- W1991118946 modified "2023-09-30" @default.
- W1991118946 title "Efficient numerical integration of Nth-order non-autonomous linear differential equations" @default.
- W1991118946 cites W1522531528 @default.
- W1991118946 cites W1543750907 @default.
- W1991118946 cites W1608348832 @default.
- W1991118946 cites W1624156688 @default.
- W1991118946 cites W2004584742 @default.
- W1991118946 cites W2010330390 @default.
- W1991118946 cites W2011115472 @default.
- W1991118946 cites W2018931076 @default.
- W1991118946 cites W2028212620 @default.
- W1991118946 cites W2039763880 @default.
- W1991118946 cites W2040977591 @default.
- W1991118946 cites W2044482442 @default.
- W1991118946 cites W2061356302 @default.
- W1991118946 cites W2080602472 @default.
- W1991118946 cites W2084264130 @default.
- W1991118946 cites W2106565812 @default.
- W1991118946 cites W2115249840 @default.
- W1991118946 cites W2128232295 @default.
- W1991118946 cites W2130727150 @default.
- W1991118946 cites W2142597043 @default.
- W1991118946 cites W2161641759 @default.
- W1991118946 cites W2334620229 @default.
- W1991118946 cites W607196801 @default.
- W1991118946 cites W66290022 @default.
- W1991118946 cites W3015118734 @default.
- W1991118946 doi "https://doi.org/10.1016/j.cam.2015.02.052" @default.
- W1991118946 hasPublicationYear "2016" @default.
- W1991118946 type Work @default.
- W1991118946 sameAs 1991118946 @default.
- W1991118946 citedByCount "5" @default.
- W1991118946 countsByYear W19911189462015 @default.
- W1991118946 countsByYear W19911189462016 @default.
- W1991118946 countsByYear W19911189462017 @default.
- W1991118946 countsByYear W19911189462018 @default.
- W1991118946 crossrefType "journal-article" @default.
- W1991118946 hasAuthorship W1991118946A5027849757 @default.
- W1991118946 hasAuthorship W1991118946A5045707678 @default.
- W1991118946 hasAuthorship W1991118946A5063983931 @default.
- W1991118946 hasAuthorship W1991118946A5075969053 @default.
- W1991118946 hasBestOaLocation W19911189461 @default.
- W1991118946 hasConcept C106487976 @default.
- W1991118946 hasConcept C1164432 @default.
- W1991118946 hasConcept C122700484 @default.
- W1991118946 hasConcept C127349201 @default.
- W1991118946 hasConcept C134306372 @default.
- W1991118946 hasConcept C136119220 @default.
- W1991118946 hasConcept C13982400 @default.
- W1991118946 hasConcept C145620117 @default.
- W1991118946 hasConcept C151376022 @default.
- W1991118946 hasConcept C159985019 @default.
- W1991118946 hasConcept C186219872 @default.
- W1991118946 hasConcept C192562407 @default.
- W1991118946 hasConcept C195906000 @default.
- W1991118946 hasConcept C202444582 @default.
- W1991118946 hasConcept C22219631 @default.
- W1991118946 hasConcept C28826006 @default.
- W1991118946 hasConcept C33923547 @default.
- W1991118946 hasConcept C39177556 @default.
- W1991118946 hasConcept C48753275 @default.
- W1991118946 hasConcept C51544822 @default.
- W1991118946 hasConcept C73648015 @default.
- W1991118946 hasConcept C78045399 @default.
- W1991118946 hasConcept C97826883 @default.
- W1991118946 hasConceptScore W1991118946C106487976 @default.
- W1991118946 hasConceptScore W1991118946C1164432 @default.
- W1991118946 hasConceptScore W1991118946C122700484 @default.
- W1991118946 hasConceptScore W1991118946C127349201 @default.
- W1991118946 hasConceptScore W1991118946C134306372 @default.
- W1991118946 hasConceptScore W1991118946C136119220 @default.
- W1991118946 hasConceptScore W1991118946C13982400 @default.
- W1991118946 hasConceptScore W1991118946C145620117 @default.
- W1991118946 hasConceptScore W1991118946C151376022 @default.
- W1991118946 hasConceptScore W1991118946C159985019 @default.
- W1991118946 hasConceptScore W1991118946C186219872 @default.
- W1991118946 hasConceptScore W1991118946C192562407 @default.
- W1991118946 hasConceptScore W1991118946C195906000 @default.
- W1991118946 hasConceptScore W1991118946C202444582 @default.
- W1991118946 hasConceptScore W1991118946C22219631 @default.
- W1991118946 hasConceptScore W1991118946C28826006 @default.
- W1991118946 hasConceptScore W1991118946C33923547 @default.
- W1991118946 hasConceptScore W1991118946C39177556 @default.
- W1991118946 hasConceptScore W1991118946C48753275 @default.
- W1991118946 hasConceptScore W1991118946C51544822 @default.
- W1991118946 hasConceptScore W1991118946C73648015 @default.
- W1991118946 hasConceptScore W1991118946C78045399 @default.
- W1991118946 hasConceptScore W1991118946C97826883 @default.
- W1991118946 hasFunder F4320332753 @default.
- W1991118946 hasLocation W19911189461 @default.
- W1991118946 hasLocation W19911189462 @default.