Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297668439> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4297668439 abstract "In this paper we discuss the use of implicit Runge-Kutta schemes for the time discretization of optimal control problems with evolution equations. The specialty of the considered discretizations is that the discretizations schemes for the state and adjoint state are chosen such that discretization and optimization commute. It is well known that for Runge-Kutta schemes with this property additional order conditions are necessary. We give sufficient conditions for which class of schemes these additional order condition are automatically fulfilled. The focus is especially on implicit Runge-Kutta schemes of Gauss, Radau IA, Radau IIA, Lobatto IIIA, Lobatto IIIB and Lobatto IIIC collocation type up to order six. Furthermore we also use a SDIRK (singly diagonally implicit Runge-Kutta) method to demonstrate, that for general implicit Runge-Kutta methods the additional order conditions are not automatically fulfilled. Numerical examples illustrate the predicted convergence rates." @default.
- W4297668439 created "2022-09-30" @default.
- W4297668439 creator A5050384421 @default.
- W4297668439 date "2013-11-04" @default.
- W4297668439 modified "2023-10-01" @default.
- W4297668439 title "Implicit Runge-Kutta schemes for optimal control problems with evolution equations" @default.
- W4297668439 doi "https://doi.org/10.48550/arxiv.1311.0640" @default.
- W4297668439 hasPublicationYear "2013" @default.
- W4297668439 type Work @default.
- W4297668439 citedByCount "0" @default.
- W4297668439 crossrefType "posted-content" @default.
- W4297668439 hasAuthorship W4297668439A5050384421 @default.
- W4297668439 hasBestOaLocation W42976684391 @default.
- W4297668439 hasConcept C1164432 @default.
- W4297668439 hasConcept C119857082 @default.
- W4297668439 hasConcept C121332964 @default.
- W4297668439 hasConcept C126255220 @default.
- W4297668439 hasConcept C134306372 @default.
- W4297668439 hasConcept C161794534 @default.
- W4297668439 hasConcept C162324750 @default.
- W4297668439 hasConcept C181582579 @default.
- W4297668439 hasConcept C2126413 @default.
- W4297668439 hasConcept C2777303404 @default.
- W4297668439 hasConcept C28826006 @default.
- W4297668439 hasConcept C33923547 @default.
- W4297668439 hasConcept C41008148 @default.
- W4297668439 hasConcept C48753275 @default.
- W4297668439 hasConcept C50522688 @default.
- W4297668439 hasConcept C51544822 @default.
- W4297668439 hasConcept C62520636 @default.
- W4297668439 hasConcept C73000952 @default.
- W4297668439 hasConcept C78045399 @default.
- W4297668439 hasConcept C80023036 @default.
- W4297668439 hasConcept C91575142 @default.
- W4297668439 hasConceptScore W4297668439C1164432 @default.
- W4297668439 hasConceptScore W4297668439C119857082 @default.
- W4297668439 hasConceptScore W4297668439C121332964 @default.
- W4297668439 hasConceptScore W4297668439C126255220 @default.
- W4297668439 hasConceptScore W4297668439C134306372 @default.
- W4297668439 hasConceptScore W4297668439C161794534 @default.
- W4297668439 hasConceptScore W4297668439C162324750 @default.
- W4297668439 hasConceptScore W4297668439C181582579 @default.
- W4297668439 hasConceptScore W4297668439C2126413 @default.
- W4297668439 hasConceptScore W4297668439C2777303404 @default.
- W4297668439 hasConceptScore W4297668439C28826006 @default.
- W4297668439 hasConceptScore W4297668439C33923547 @default.
- W4297668439 hasConceptScore W4297668439C41008148 @default.
- W4297668439 hasConceptScore W4297668439C48753275 @default.
- W4297668439 hasConceptScore W4297668439C50522688 @default.
- W4297668439 hasConceptScore W4297668439C51544822 @default.
- W4297668439 hasConceptScore W4297668439C62520636 @default.
- W4297668439 hasConceptScore W4297668439C73000952 @default.
- W4297668439 hasConceptScore W4297668439C78045399 @default.
- W4297668439 hasConceptScore W4297668439C80023036 @default.
- W4297668439 hasConceptScore W4297668439C91575142 @default.
- W4297668439 hasLocation W42976684391 @default.
- W4297668439 hasOpenAccess W4297668439 @default.
- W4297668439 hasPrimaryLocation W42976684391 @default.
- W4297668439 hasRelatedWork W1505087458 @default.
- W4297668439 hasRelatedWork W1972053220 @default.
- W4297668439 hasRelatedWork W1972996883 @default.
- W4297668439 hasRelatedWork W2040892753 @default.
- W4297668439 hasRelatedWork W2345628033 @default.
- W4297668439 hasRelatedWork W2427192437 @default.
- W4297668439 hasRelatedWork W4297668439 @default.
- W4297668439 hasRelatedWork W4297732661 @default.
- W4297668439 hasRelatedWork W4310416676 @default.
- W4297668439 hasRelatedWork W4324105799 @default.
- W4297668439 isParatext "false" @default.
- W4297668439 isRetracted "false" @default.
- W4297668439 workType "article" @default.