Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000811891> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2000811891 endingPage "2675" @default.
- W2000811891 startingPage "2647" @default.
- W2000811891 abstract "Spectral approximation by polynomials on the unit ball is studied in the frame of the Sobolev spaces $W^{s}_p(mathbb{B}^d)$, $1<p<infty$. The main results give sharp estimates on the order of approximation by polynomials in the Sobolev spaces and explicit construction of approximating polynomials. One major effort lies in understanding the structure of orthogonal polynomials with respect to an inner product of the Sobolev space $W_2^s(mathbb{B}^d)$. As an application, a direct and efficient spectral-Galerkin method based on our orthogonal polynomials is proposed for the second and fourth order elliptic equations on the unit ball, its optimal error estimates are explicitly derived for both procedures in the Sobolev spaces, and finally, numerical examples are presented to illustrate the theoretic results." @default.
- W2000811891 created "2016-06-24" @default.
- W2000811891 creator A5018734313 @default.
- W2000811891 creator A5039481168 @default.
- W2000811891 date "2014-01-01" @default.
- W2000811891 modified "2023-10-16" @default.
- W2000811891 title "Spectral Approximation on the Unit Ball" @default.
- W2000811891 cites W1971842498 @default.
- W2000811891 cites W1978632040 @default.
- W2000811891 cites W1984348230 @default.
- W2000811891 cites W1987377268 @default.
- W2000811891 cites W2008224406 @default.
- W2000811891 cites W2028680761 @default.
- W2000811891 cites W2029901444 @default.
- W2000811891 cites W2032501875 @default.
- W2000811891 cites W2035467761 @default.
- W2000811891 cites W2035532227 @default.
- W2000811891 cites W2036854337 @default.
- W2000811891 cites W2039707205 @default.
- W2000811891 cites W2041743460 @default.
- W2000811891 cites W2042161972 @default.
- W2000811891 cites W2055738068 @default.
- W2000811891 cites W2056658486 @default.
- W2000811891 cites W2062256865 @default.
- W2000811891 cites W2065084852 @default.
- W2000811891 cites W2075052102 @default.
- W2000811891 cites W2084540358 @default.
- W2000811891 cites W2141202287 @default.
- W2000811891 doi "https://doi.org/10.1137/130940591" @default.
- W2000811891 hasPublicationYear "2014" @default.
- W2000811891 type Work @default.
- W2000811891 sameAs 2000811891 @default.
- W2000811891 citedByCount "43" @default.
- W2000811891 countsByYear W20008118912014 @default.
- W2000811891 countsByYear W20008118912015 @default.
- W2000811891 countsByYear W20008118912016 @default.
- W2000811891 countsByYear W20008118912017 @default.
- W2000811891 countsByYear W20008118912018 @default.
- W2000811891 countsByYear W20008118912019 @default.
- W2000811891 countsByYear W20008118912020 @default.
- W2000811891 countsByYear W20008118912021 @default.
- W2000811891 countsByYear W20008118912022 @default.
- W2000811891 countsByYear W20008118912023 @default.
- W2000811891 crossrefType "journal-article" @default.
- W2000811891 hasAuthorship W2000811891A5018734313 @default.
- W2000811891 hasAuthorship W2000811891A5039481168 @default.
- W2000811891 hasBestOaLocation W20008118912 @default.
- W2000811891 hasConcept C10628310 @default.
- W2000811891 hasConcept C122041747 @default.
- W2000811891 hasConcept C134306372 @default.
- W2000811891 hasConcept C191948623 @default.
- W2000811891 hasConcept C202444582 @default.
- W2000811891 hasConcept C33923547 @default.
- W2000811891 hasConcept C99730327 @default.
- W2000811891 hasConceptScore W2000811891C10628310 @default.
- W2000811891 hasConceptScore W2000811891C122041747 @default.
- W2000811891 hasConceptScore W2000811891C134306372 @default.
- W2000811891 hasConceptScore W2000811891C191948623 @default.
- W2000811891 hasConceptScore W2000811891C202444582 @default.
- W2000811891 hasConceptScore W2000811891C33923547 @default.
- W2000811891 hasConceptScore W2000811891C99730327 @default.
- W2000811891 hasIssue "6" @default.
- W2000811891 hasLocation W20008118911 @default.
- W2000811891 hasLocation W20008118912 @default.
- W2000811891 hasLocation W20008118913 @default.
- W2000811891 hasOpenAccess W2000811891 @default.
- W2000811891 hasPrimaryLocation W20008118911 @default.
- W2000811891 hasRelatedWork W1982675504 @default.
- W2000811891 hasRelatedWork W2016092567 @default.
- W2000811891 hasRelatedWork W2048403683 @default.
- W2000811891 hasRelatedWork W2164189677 @default.
- W2000811891 hasRelatedWork W2387072865 @default.
- W2000811891 hasRelatedWork W2549643127 @default.
- W2000811891 hasRelatedWork W2804455714 @default.
- W2000811891 hasRelatedWork W2950745223 @default.
- W2000811891 hasRelatedWork W2989846825 @default.
- W2000811891 hasRelatedWork W3046438935 @default.
- W2000811891 hasVolume "52" @default.
- W2000811891 isParatext "false" @default.
- W2000811891 isRetracted "false" @default.
- W2000811891 magId "2000811891" @default.
- W2000811891 workType "article" @default.