Matches in SemOpenAlex for { <https://semopenalex.org/work/W2956362357> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2956362357 endingPage "386" @default.
- W2956362357 startingPage "357" @default.
- W2956362357 abstract "Abstract Differential-algebraic equations (DAEs) are widely used for modelling dynamical systems. In the numerical analysis of DAEs, consistent initialization and index reduction are important preprocessing steps prior to numerical integration. Existing DAE solvers commonly adopt structural preprocessing methods based on combinatorial optimization. Unfortunately, structural methods fail if the DAE has a singular system Jacobian matrix. For such DAEs, methods have been proposed to modify them to other DAEs to which structural methods are applicable, based on the combinatorial relaxation technique. Existing modification methods, however, work only for DAEs that are linear or close to linear. This paper presents two new modification methods for nonlinear DAEs: the substitution method and the augmentation method. Both methods are based on the combinatorial relaxation approach and are applicable to a large class of nonlinear DAEs. The substitution method symbolically solves equations for some derivatives based on the implicit function theorem and substitutes the solution back into the system. Instead of solving equations, the augmentation method modifies DAEs by appending new variables and equations. Our methods are implemented as a MATLAB library using MuPAD, and through its application to practical DAEs, we show that our methods can be used as a promising preprocessing of DAEs that the index reduction procedure in MATLAB cannot handle." @default.
- W2956362357 created "2019-07-23" @default.
- W2956362357 creator A5056811970 @default.
- W2956362357 date "2021-12-22" @default.
- W2956362357 modified "2023-10-16" @default.
- W2956362357 title "Improved structural methods for nonlinear differential-algebraic equations via combinatorial relaxation" @default.
- W2956362357 cites W158349087 @default.
- W2956362357 cites W192807697 @default.
- W2956362357 cites W1973133099 @default.
- W2956362357 cites W1983438352 @default.
- W2956362357 cites W1987855642 @default.
- W2956362357 cites W1995504856 @default.
- W2956362357 cites W1997959395 @default.
- W2956362357 cites W2002297246 @default.
- W2956362357 cites W2005127415 @default.
- W2956362357 cites W2075151302 @default.
- W2956362357 cites W2076751185 @default.
- W2956362357 cites W2080953728 @default.
- W2956362357 cites W2081727334 @default.
- W2956362357 cites W2126311295 @default.
- W2956362357 cites W2478429860 @default.
- W2956362357 cites W2513069050 @default.
- W2956362357 cites W2766563433 @default.
- W2956362357 cites W2810378508 @default.
- W2956362357 cites W2964146457 @default.
- W2956362357 doi "https://doi.org/10.1093/imanum/drab094" @default.
- W2956362357 hasPublicationYear "2021" @default.
- W2956362357 type Work @default.
- W2956362357 sameAs 2956362357 @default.
- W2956362357 citedByCount "0" @default.
- W2956362357 crossrefType "journal-article" @default.
- W2956362357 hasAuthorship W2956362357A5056811970 @default.
- W2956362357 hasBestOaLocation W29563623572 @default.
- W2956362357 hasConcept C111919701 @default.
- W2956362357 hasConcept C11413529 @default.
- W2956362357 hasConcept C114466953 @default.
- W2956362357 hasConcept C121332964 @default.
- W2956362357 hasConcept C126255220 @default.
- W2956362357 hasConcept C134306372 @default.
- W2956362357 hasConcept C15744967 @default.
- W2956362357 hasConcept C158622935 @default.
- W2956362357 hasConcept C186219872 @default.
- W2956362357 hasConcept C199360897 @default.
- W2956362357 hasConcept C200331156 @default.
- W2956362357 hasConcept C2776029896 @default.
- W2956362357 hasConcept C2780365114 @default.
- W2956362357 hasConcept C28826006 @default.
- W2956362357 hasConcept C33923547 @default.
- W2956362357 hasConcept C41008148 @default.
- W2956362357 hasConcept C51544822 @default.
- W2956362357 hasConcept C62520636 @default.
- W2956362357 hasConcept C77805123 @default.
- W2956362357 hasConcept C78045399 @default.
- W2956362357 hasConceptScore W2956362357C111919701 @default.
- W2956362357 hasConceptScore W2956362357C11413529 @default.
- W2956362357 hasConceptScore W2956362357C114466953 @default.
- W2956362357 hasConceptScore W2956362357C121332964 @default.
- W2956362357 hasConceptScore W2956362357C126255220 @default.
- W2956362357 hasConceptScore W2956362357C134306372 @default.
- W2956362357 hasConceptScore W2956362357C15744967 @default.
- W2956362357 hasConceptScore W2956362357C158622935 @default.
- W2956362357 hasConceptScore W2956362357C186219872 @default.
- W2956362357 hasConceptScore W2956362357C199360897 @default.
- W2956362357 hasConceptScore W2956362357C200331156 @default.
- W2956362357 hasConceptScore W2956362357C2776029896 @default.
- W2956362357 hasConceptScore W2956362357C2780365114 @default.
- W2956362357 hasConceptScore W2956362357C28826006 @default.
- W2956362357 hasConceptScore W2956362357C33923547 @default.
- W2956362357 hasConceptScore W2956362357C41008148 @default.
- W2956362357 hasConceptScore W2956362357C51544822 @default.
- W2956362357 hasConceptScore W2956362357C62520636 @default.
- W2956362357 hasConceptScore W2956362357C77805123 @default.
- W2956362357 hasConceptScore W2956362357C78045399 @default.
- W2956362357 hasIssue "1" @default.
- W2956362357 hasLocation W29563623571 @default.
- W2956362357 hasLocation W29563623572 @default.
- W2956362357 hasOpenAccess W2956362357 @default.
- W2956362357 hasPrimaryLocation W29563623571 @default.
- W2956362357 hasRelatedWork W1553279606 @default.
- W2956362357 hasRelatedWork W1693001741 @default.
- W2956362357 hasRelatedWork W194307678 @default.
- W2956362357 hasRelatedWork W1981288105 @default.
- W2956362357 hasRelatedWork W1993253970 @default.
- W2956362357 hasRelatedWork W2338869834 @default.
- W2956362357 hasRelatedWork W2786380891 @default.
- W2956362357 hasRelatedWork W2992429472 @default.
- W2956362357 hasRelatedWork W4286742089 @default.
- W2956362357 hasRelatedWork W52854981 @default.
- W2956362357 hasVolume "43" @default.
- W2956362357 isParatext "false" @default.
- W2956362357 isRetracted "false" @default.
- W2956362357 magId "2956362357" @default.
- W2956362357 workType "article" @default.