Matches in SemOpenAlex for { <https://semopenalex.org/work/W2227569077> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2227569077 abstract "For a parameterized hyperbolic system $frac{du}{dt}=f(u,s)$ the derivative of the ergodic average $langle J rangle = lim_{T to infty}frac{1}{T}int_0^T J(u(t),s)$ to the parameter $s$ can be computed via the Least Squares Shadowing algorithm (LSS). We assume that the sytem is ergodic which means that $langle J rangle$ depends only on $s$ (not on the initial condition of the hyperbolic system). After discretizing this continuous system using a fixed timestep, the algorithm solves a constrained least squares problem and, from the solution to this problem, computes the desired derivative $frac{dlangle J rangle}{ds}$. The purpose of this paper is to prove that the value given by the LSS algorithm approaches the exact derivative when the discretization timestep goes to $0$ and the timespan used to formulate the least squares problem grows to infinity." @default.
- W2227569077 created "2016-06-24" @default.
- W2227569077 creator A5001238065 @default.
- W2227569077 creator A5017800332 @default.
- W2227569077 creator A5043322188 @default.
- W2227569077 creator A5078221516 @default.
- W2227569077 date "2015-09-09" @default.
- W2227569077 modified "2023-10-16" @default.
- W2227569077 title "Least Squares Shadowing method for sensitivity analysis of differential equations" @default.
- W2227569077 cites W1521401389 @default.
- W2227569077 cites W1976022801 @default.
- W2227569077 cites W1976502092 @default.
- W2227569077 cites W2000256143 @default.
- W2227569077 cites W2004516350 @default.
- W2227569077 cites W2016883698 @default.
- W2227569077 cites W2041360742 @default.
- W2227569077 cites W2074855371 @default.
- W2227569077 cites W572548347 @default.
- W2227569077 doi "https://doi.org/10.48550/arxiv.1509.02882" @default.
- W2227569077 hasPublicationYear "2015" @default.
- W2227569077 type Work @default.
- W2227569077 sameAs 2227569077 @default.
- W2227569077 citedByCount "0" @default.
- W2227569077 crossrefType "posted-content" @default.
- W2227569077 hasAuthorship W2227569077A5001238065 @default.
- W2227569077 hasAuthorship W2227569077A5017800332 @default.
- W2227569077 hasAuthorship W2227569077A5043322188 @default.
- W2227569077 hasAuthorship W2227569077A5078221516 @default.
- W2227569077 hasBestOaLocation W22275690771 @default.
- W2227569077 hasConcept C105795698 @default.
- W2227569077 hasConcept C106159729 @default.
- W2227569077 hasConcept C111771559 @default.
- W2227569077 hasConcept C114614502 @default.
- W2227569077 hasConcept C118615104 @default.
- W2227569077 hasConcept C122044880 @default.
- W2227569077 hasConcept C127413603 @default.
- W2227569077 hasConcept C134306372 @default.
- W2227569077 hasConcept C162324750 @default.
- W2227569077 hasConcept C165464430 @default.
- W2227569077 hasConcept C185429906 @default.
- W2227569077 hasConcept C21200559 @default.
- W2227569077 hasConcept C24326235 @default.
- W2227569077 hasConcept C28826006 @default.
- W2227569077 hasConcept C33257320 @default.
- W2227569077 hasConcept C33923547 @default.
- W2227569077 hasConcept C73000952 @default.
- W2227569077 hasConcept C7321624 @default.
- W2227569077 hasConcept C9936470 @default.
- W2227569077 hasConceptScore W2227569077C105795698 @default.
- W2227569077 hasConceptScore W2227569077C106159729 @default.
- W2227569077 hasConceptScore W2227569077C111771559 @default.
- W2227569077 hasConceptScore W2227569077C114614502 @default.
- W2227569077 hasConceptScore W2227569077C118615104 @default.
- W2227569077 hasConceptScore W2227569077C122044880 @default.
- W2227569077 hasConceptScore W2227569077C127413603 @default.
- W2227569077 hasConceptScore W2227569077C134306372 @default.
- W2227569077 hasConceptScore W2227569077C162324750 @default.
- W2227569077 hasConceptScore W2227569077C165464430 @default.
- W2227569077 hasConceptScore W2227569077C185429906 @default.
- W2227569077 hasConceptScore W2227569077C21200559 @default.
- W2227569077 hasConceptScore W2227569077C24326235 @default.
- W2227569077 hasConceptScore W2227569077C28826006 @default.
- W2227569077 hasConceptScore W2227569077C33257320 @default.
- W2227569077 hasConceptScore W2227569077C33923547 @default.
- W2227569077 hasConceptScore W2227569077C73000952 @default.
- W2227569077 hasConceptScore W2227569077C7321624 @default.
- W2227569077 hasConceptScore W2227569077C9936470 @default.
- W2227569077 hasLocation W22275690771 @default.
- W2227569077 hasLocation W22275690772 @default.
- W2227569077 hasOpenAccess W2227569077 @default.
- W2227569077 hasPrimaryLocation W22275690771 @default.
- W2227569077 hasRelatedWork W2012267664 @default.
- W2227569077 hasRelatedWork W2034801704 @default.
- W2227569077 hasRelatedWork W2036965147 @default.
- W2227569077 hasRelatedWork W2227569077 @default.
- W2227569077 hasRelatedWork W2366286951 @default.
- W2227569077 hasRelatedWork W2885056112 @default.
- W2227569077 hasRelatedWork W2915383893 @default.
- W2227569077 hasRelatedWork W2963299114 @default.
- W2227569077 hasRelatedWork W2964195460 @default.
- W2227569077 hasRelatedWork W3181765342 @default.
- W2227569077 isParatext "false" @default.
- W2227569077 isRetracted "false" @default.
- W2227569077 magId "2227569077" @default.
- W2227569077 workType "article" @default.