Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949924726> ?p ?o ?g. }
- W2949924726 endingPage "1947" @default.
- W2949924726 startingPage "1913" @default.
- W2949924726 abstract "We propose, theoretically investigate, and numerically validate an algorithm for the Monte Carlo solution of least-squares polynomial approximation problems in a collocation frame- work. Our method is motivated by generalized Polynomial Chaos approximation in uncertainty quantification where a polynomial approximation is formed from a combination of orthogonal polynomials. A standard Monte Carlo approach would draw samples according to the density of orthogonality. Our proposed algorithm samples with respect to the equilibrium measure of the parametric domain, and subsequently solves a weighted least-squares problem, with weights given by evaluations of the Christoffel function. We present theoretical analysis to motivate the algorithm, and numerical results that show our method is superior to standard Monte Carlo methods in many situations of interest." @default.
- W2949924726 created "2019-06-27" @default.
- W2949924726 creator A5042861452 @default.
- W2949924726 creator A5053971798 @default.
- W2949924726 creator A5084145417 @default.
- W2949924726 date "2016-11-28" @default.
- W2949924726 modified "2023-10-14" @default.
- W2949924726 title "A Christoffel function weighted least squares algorithm for collocation approximations" @default.
- W2949924726 cites W1880751280 @default.
- W2949924726 cites W1963846586 @default.
- W2949924726 cites W1969092186 @default.
- W2949924726 cites W1970623164 @default.
- W2949924726 cites W1978078232 @default.
- W2949924726 cites W1987942864 @default.
- W2949924726 cites W2005763290 @default.
- W2949924726 cites W2015028916 @default.
- W2949924726 cites W2016499564 @default.
- W2949924726 cites W2016847492 @default.
- W2949924726 cites W2018159038 @default.
- W2949924726 cites W2018529115 @default.
- W2949924726 cites W2022082326 @default.
- W2949924726 cites W2023427312 @default.
- W2949924726 cites W2026679679 @default.
- W2949924726 cites W2036242000 @default.
- W2949924726 cites W2037929200 @default.
- W2949924726 cites W2056558085 @default.
- W2949924726 cites W2065120373 @default.
- W2949924726 cites W2071785249 @default.
- W2949924726 cites W2072869714 @default.
- W2949924726 cites W2086684904 @default.
- W2949924726 cites W2114029722 @default.
- W2949924726 cites W2135547464 @default.
- W2949924726 cites W2141454789 @default.
- W2949924726 cites W2142863015 @default.
- W2949924726 cites W2143591652 @default.
- W2949924726 cites W2150062983 @default.
- W2949924726 cites W2157845724 @default.
- W2949924726 cites W2162144171 @default.
- W2949924726 cites W2185333993 @default.
- W2949924726 cites W2186154537 @default.
- W2949924726 cites W2321957512 @default.
- W2949924726 cites W2327253984 @default.
- W2949924726 cites W2963727569 @default.
- W2949924726 cites W2963843310 @default.
- W2949924726 cites W3098045837 @default.
- W2949924726 cites W3217167116 @default.
- W2949924726 doi "https://doi.org/10.1090/mcom/3192" @default.
- W2949924726 hasPublicationYear "2016" @default.
- W2949924726 type Work @default.
- W2949924726 sameAs 2949924726 @default.
- W2949924726 citedByCount "54" @default.
- W2949924726 countsByYear W29499247262015 @default.
- W2949924726 countsByYear W29499247262016 @default.
- W2949924726 countsByYear W29499247262017 @default.
- W2949924726 countsByYear W29499247262018 @default.
- W2949924726 countsByYear W29499247262019 @default.
- W2949924726 countsByYear W29499247262020 @default.
- W2949924726 countsByYear W29499247262021 @default.
- W2949924726 countsByYear W29499247262022 @default.
- W2949924726 countsByYear W29499247262023 @default.
- W2949924726 crossrefType "journal-article" @default.
- W2949924726 hasAuthorship W2949924726A5042861452 @default.
- W2949924726 hasAuthorship W2949924726A5053971798 @default.
- W2949924726 hasAuthorship W2949924726A5084145417 @default.
- W2949924726 hasBestOaLocation W29499247261 @default.
- W2949924726 hasConcept C105795698 @default.
- W2949924726 hasConcept C11413529 @default.
- W2949924726 hasConcept C117251300 @default.
- W2949924726 hasConcept C119857082 @default.
- W2949924726 hasConcept C134306372 @default.
- W2949924726 hasConcept C14036430 @default.
- W2949924726 hasConcept C17137986 @default.
- W2949924726 hasConcept C185429906 @default.
- W2949924726 hasConcept C19499675 @default.
- W2949924726 hasConcept C197656079 @default.
- W2949924726 hasConcept C2524010 @default.
- W2949924726 hasConcept C2780580100 @default.
- W2949924726 hasConcept C28826006 @default.
- W2949924726 hasConcept C33923547 @default.
- W2949924726 hasConcept C41008148 @default.
- W2949924726 hasConcept C77850982 @default.
- W2949924726 hasConcept C78458016 @default.
- W2949924726 hasConcept C80023036 @default.
- W2949924726 hasConcept C86803240 @default.
- W2949924726 hasConcept C90119067 @default.
- W2949924726 hasConcept C9936470 @default.
- W2949924726 hasConceptScore W2949924726C105795698 @default.
- W2949924726 hasConceptScore W2949924726C11413529 @default.
- W2949924726 hasConceptScore W2949924726C117251300 @default.
- W2949924726 hasConceptScore W2949924726C119857082 @default.
- W2949924726 hasConceptScore W2949924726C134306372 @default.
- W2949924726 hasConceptScore W2949924726C14036430 @default.
- W2949924726 hasConceptScore W2949924726C17137986 @default.
- W2949924726 hasConceptScore W2949924726C185429906 @default.
- W2949924726 hasConceptScore W2949924726C19499675 @default.
- W2949924726 hasConceptScore W2949924726C197656079 @default.
- W2949924726 hasConceptScore W2949924726C2524010 @default.
- W2949924726 hasConceptScore W2949924726C2780580100 @default.