Matches in SemOpenAlex for { <https://semopenalex.org/work/W3106599146> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W3106599146 abstract "Given values of a piecewise smooth function $f$ on a square grid within a domain $Omega$, we look for a piecewise adaptive approximation to $f$. Standard approximation techniques achieve reduced approximation orders near the boundary of the domain and near curves of jump singularities of the function or its derivatives. The idea used here is that the behavior near the boundaries, or near a singularity curve, is fully characterized and identified by the values of certain differences of the data across the boundary and across the singularity curve. We refer to these values as the signature of $f$. In this paper, we aim at using these values in order to define the approximation. That is, we look for an approximation whose signature is matched to the signature of $f$. Given function data on a grid, assuming the function is piecewise smooth, first, the singularity structure of the function is identified. For example in the 2-D case, we find an approximation to the curves separating between smooth segments of $f$. Secondly, simultaneously we find the approximations to the different segments of $f$. A system of equations derived from the principle of matching the signature of the approximation and the function with respect to the given grid defines a first stage approximation. An second stage improved approximation is constructed using a global approximation to the error obtained in the first stage approximation." @default.
- W3106599146 created "2020-12-07" @default.
- W3106599146 creator A5065492741 @default.
- W3106599146 creator A5067555613 @default.
- W3106599146 creator A5087100604 @default.
- W3106599146 date "2020-12-02" @default.
- W3106599146 modified "2023-10-03" @default.
- W3106599146 title "Corrected approximation strategy for piecewise smooth bivariate functions." @default.
- W3106599146 cites W1964699038 @default.
- W3106599146 cites W1966287322 @default.
- W3106599146 cites W1988201922 @default.
- W3106599146 cites W2072763969 @default.
- W3106599146 cites W2137758260 @default.
- W3106599146 cites W2167651376 @default.
- W3106599146 cites W2791628307 @default.
- W3106599146 cites W2964049651 @default.
- W3106599146 hasPublicationYear "2020" @default.
- W3106599146 type Work @default.
- W3106599146 sameAs 3106599146 @default.
- W3106599146 citedByCount "0" @default.
- W3106599146 crossrefType "posted-content" @default.
- W3106599146 hasAuthorship W3106599146A5065492741 @default.
- W3106599146 hasAuthorship W3106599146A5067555613 @default.
- W3106599146 hasAuthorship W3106599146A5087100604 @default.
- W3106599146 hasConcept C117148685 @default.
- W3106599146 hasConcept C119857082 @default.
- W3106599146 hasConcept C122383733 @default.
- W3106599146 hasConcept C126255220 @default.
- W3106599146 hasConcept C134306372 @default.
- W3106599146 hasConcept C14036430 @default.
- W3106599146 hasConcept C145242015 @default.
- W3106599146 hasConcept C148764684 @default.
- W3106599146 hasConcept C16171025 @default.
- W3106599146 hasConcept C164660894 @default.
- W3106599146 hasConcept C2524010 @default.
- W3106599146 hasConcept C2779696439 @default.
- W3106599146 hasConcept C28826006 @default.
- W3106599146 hasConcept C33923547 @default.
- W3106599146 hasConcept C36503486 @default.
- W3106599146 hasConcept C41008148 @default.
- W3106599146 hasConcept C50644808 @default.
- W3106599146 hasConcept C62354387 @default.
- W3106599146 hasConcept C62376455 @default.
- W3106599146 hasConcept C78458016 @default.
- W3106599146 hasConcept C86803240 @default.
- W3106599146 hasConcept C91873725 @default.
- W3106599146 hasConceptScore W3106599146C117148685 @default.
- W3106599146 hasConceptScore W3106599146C119857082 @default.
- W3106599146 hasConceptScore W3106599146C122383733 @default.
- W3106599146 hasConceptScore W3106599146C126255220 @default.
- W3106599146 hasConceptScore W3106599146C134306372 @default.
- W3106599146 hasConceptScore W3106599146C14036430 @default.
- W3106599146 hasConceptScore W3106599146C145242015 @default.
- W3106599146 hasConceptScore W3106599146C148764684 @default.
- W3106599146 hasConceptScore W3106599146C16171025 @default.
- W3106599146 hasConceptScore W3106599146C164660894 @default.
- W3106599146 hasConceptScore W3106599146C2524010 @default.
- W3106599146 hasConceptScore W3106599146C2779696439 @default.
- W3106599146 hasConceptScore W3106599146C28826006 @default.
- W3106599146 hasConceptScore W3106599146C33923547 @default.
- W3106599146 hasConceptScore W3106599146C36503486 @default.
- W3106599146 hasConceptScore W3106599146C41008148 @default.
- W3106599146 hasConceptScore W3106599146C50644808 @default.
- W3106599146 hasConceptScore W3106599146C62354387 @default.
- W3106599146 hasConceptScore W3106599146C62376455 @default.
- W3106599146 hasConceptScore W3106599146C78458016 @default.
- W3106599146 hasConceptScore W3106599146C86803240 @default.
- W3106599146 hasConceptScore W3106599146C91873725 @default.
- W3106599146 hasOpenAccess W3106599146 @default.
- W3106599146 hasRelatedWork W1483658743 @default.
- W3106599146 hasRelatedWork W1964139931 @default.
- W3106599146 hasRelatedWork W1999739107 @default.
- W3106599146 hasRelatedWork W2001365830 @default.
- W3106599146 hasRelatedWork W2023588259 @default.
- W3106599146 hasRelatedWork W2024272109 @default.
- W3106599146 hasRelatedWork W2027265222 @default.
- W3106599146 hasRelatedWork W2071310912 @default.
- W3106599146 hasRelatedWork W2077520457 @default.
- W3106599146 hasRelatedWork W2094648722 @default.
- W3106599146 hasRelatedWork W2120694921 @default.
- W3106599146 hasRelatedWork W2182385772 @default.
- W3106599146 hasRelatedWork W2618262608 @default.
- W3106599146 hasRelatedWork W2792285364 @default.
- W3106599146 hasRelatedWork W2803359590 @default.
- W3106599146 hasRelatedWork W2907152173 @default.
- W3106599146 hasRelatedWork W2911366664 @default.
- W3106599146 hasRelatedWork W2952179717 @default.
- W3106599146 hasRelatedWork W3043966616 @default.
- W3106599146 hasRelatedWork W2183497817 @default.
- W3106599146 isParatext "false" @default.
- W3106599146 isRetracted "false" @default.
- W3106599146 magId "3106599146" @default.
- W3106599146 workType "article" @default.