Matches in SemOpenAlex for { <https://semopenalex.org/work/W84965603> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W84965603 endingPage "17" @default.
- W84965603 startingPage "1" @default.
- W84965603 abstract "This chapter discusses some basic concepts in the analysis of singular perturbations. It describes the theory of singular layer problems. The frequent occurrence of singular perturbations in applications can be explained by the observation that whenever some basic mathematic model of some phenomena is improved by incorporating some of the effects that were first neglected; the improved model is most likely to be a problem of singular perturbations. Analysis of singular perturbations is not a straight-forward generalization and extension of classical asymptotic analysis and perturbation theory but rather an entirely new discipline. Every practitioner of singular perturbations uses, implicitly or explicitly, certain concepts that are commonly accepted as the basis for the method of analysis. The elegant classical perturbation analysis combines the construction of approximations and the proof of their validity into one line of thinking. In singular perturbations, the complete analysis requires various different ingredients. The extension theorem, which is the rigorous ingredient in the derivation of the matching rule, only asserts the existence of the extended domain but gives no information on the functions." @default.
- W84965603 created "2016-06-24" @default.
- W84965603 creator A5066808911 @default.
- W84965603 date "1980-01-01" @default.
- W84965603 modified "2023-09-26" @default.
- W84965603 title "On Some Basic Concepts in the Analysis of Singular Perturbations" @default.
- W84965603 doi "https://doi.org/10.1016/b978-0-12-493260-9.50005-9" @default.
- W84965603 hasPublicationYear "1980" @default.
- W84965603 type Work @default.
- W84965603 sameAs 84965603 @default.
- W84965603 citedByCount "0" @default.
- W84965603 crossrefType "book-chapter" @default.
- W84965603 hasAuthorship W84965603A5066808911 @default.
- W84965603 hasConcept C121332964 @default.
- W84965603 hasConcept C134306372 @default.
- W84965603 hasConcept C135909967 @default.
- W84965603 hasConcept C165160513 @default.
- W84965603 hasConcept C177148314 @default.
- W84965603 hasConcept C177918212 @default.
- W84965603 hasConcept C199343813 @default.
- W84965603 hasConcept C199360897 @default.
- W84965603 hasConcept C205147927 @default.
- W84965603 hasConcept C2777686260 @default.
- W84965603 hasConcept C2778029271 @default.
- W84965603 hasConcept C28826006 @default.
- W84965603 hasConcept C33923547 @default.
- W84965603 hasConcept C36503486 @default.
- W84965603 hasConcept C41008148 @default.
- W84965603 hasConcept C62520636 @default.
- W84965603 hasConcept C71924100 @default.
- W84965603 hasConceptScore W84965603C121332964 @default.
- W84965603 hasConceptScore W84965603C134306372 @default.
- W84965603 hasConceptScore W84965603C135909967 @default.
- W84965603 hasConceptScore W84965603C165160513 @default.
- W84965603 hasConceptScore W84965603C177148314 @default.
- W84965603 hasConceptScore W84965603C177918212 @default.
- W84965603 hasConceptScore W84965603C199343813 @default.
- W84965603 hasConceptScore W84965603C199360897 @default.
- W84965603 hasConceptScore W84965603C205147927 @default.
- W84965603 hasConceptScore W84965603C2777686260 @default.
- W84965603 hasConceptScore W84965603C2778029271 @default.
- W84965603 hasConceptScore W84965603C28826006 @default.
- W84965603 hasConceptScore W84965603C33923547 @default.
- W84965603 hasConceptScore W84965603C36503486 @default.
- W84965603 hasConceptScore W84965603C41008148 @default.
- W84965603 hasConceptScore W84965603C62520636 @default.
- W84965603 hasConceptScore W84965603C71924100 @default.
- W84965603 hasLocation W849656031 @default.
- W84965603 hasOpenAccess W84965603 @default.
- W84965603 hasPrimaryLocation W849656031 @default.
- W84965603 hasRelatedWork W1537496768 @default.
- W84965603 hasRelatedWork W170069669 @default.
- W84965603 hasRelatedWork W2106525022 @default.
- W84965603 hasRelatedWork W2131118895 @default.
- W84965603 hasRelatedWork W2182853012 @default.
- W84965603 hasRelatedWork W2197304533 @default.
- W84965603 hasRelatedWork W2223179249 @default.
- W84965603 hasRelatedWork W2330399181 @default.
- W84965603 hasRelatedWork W2476684204 @default.
- W84965603 hasRelatedWork W2489094033 @default.
- W84965603 hasRelatedWork W2561936904 @default.
- W84965603 hasRelatedWork W260427384 @default.
- W84965603 hasRelatedWork W2611548102 @default.
- W84965603 hasRelatedWork W2918886142 @default.
- W84965603 hasRelatedWork W3021871270 @default.
- W84965603 hasRelatedWork W3097677085 @default.
- W84965603 hasRelatedWork W34044339 @default.
- W84965603 hasRelatedWork W348182941 @default.
- W84965603 hasRelatedWork W6690291 @default.
- W84965603 hasRelatedWork W2336144428 @default.
- W84965603 isParatext "false" @default.
- W84965603 isRetracted "false" @default.
- W84965603 magId "84965603" @default.
- W84965603 workType "book-chapter" @default.