Matches in SemOpenAlex for { <https://semopenalex.org/work/W2486099164> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2486099164 endingPage "1241" @default.
- W2486099164 startingPage "1227" @default.
- W2486099164 abstract "The Charney problem, a second order ordinary differential equation eigenproblem on z ∈ [ 0 , ∞ ] with complex eigenvalues, is of great historical importance in meteorology and oceanography. Here, it is used as a testbed for several extensions of spectral methods. The first is to parameterize a plane curve which is singular at an endpoint, as very common in applications. The second stretch is to extend the Chebyshev tau method to compute eigenfunctions of the form M ( z ) + log ( z ) V ( z ) where M ( z ) and V ( z ) are entire functions and where the approximation interval is a line segment in the complex plane. Third, we offer a special procedure for finding the roots of a function which is not a polynomial, but rather the combination of a polynomial plus a logarithm multiplied by a second polynomial. Lastly, to resolve the very thin boundary layer of the regularized Charney problem, we combine a rational Chebyshev ( T L n ) pseudospectral method with a change of coordinate which is quadratic at the ground. Remarkably, best results are obtained by applying four boundary conditions even though the Charney problem is a differential equation of only second order." @default.
- W2486099164 created "2016-08-23" @default.
- W2486099164 creator A5074056648 @default.
- W2486099164 date "2016-03-01" @default.
- W2486099164 modified "2023-10-16" @default.
- W2486099164 title "Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation" @default.
- W2486099164 cites W1973663906 @default.
- W2486099164 cites W1976011360 @default.
- W2486099164 cites W1978241036 @default.
- W2486099164 cites W1978984832 @default.
- W2486099164 cites W1983867343 @default.
- W2486099164 cites W1989156971 @default.
- W2486099164 cites W1991200516 @default.
- W2486099164 cites W2002391771 @default.
- W2486099164 cites W2005854807 @default.
- W2486099164 cites W2015480355 @default.
- W2486099164 cites W2017313734 @default.
- W2486099164 cites W2019689641 @default.
- W2486099164 cites W2025548596 @default.
- W2486099164 cites W2029638418 @default.
- W2486099164 cites W2033942740 @default.
- W2486099164 cites W2063521143 @default.
- W2486099164 cites W2074496274 @default.
- W2486099164 cites W2171692351 @default.
- W2486099164 cites W4253037089 @default.
- W2486099164 doi "https://doi.org/10.1016/j.camwa.2016.01.018" @default.
- W2486099164 hasPublicationYear "2016" @default.
- W2486099164 type Work @default.
- W2486099164 sameAs 2486099164 @default.
- W2486099164 citedByCount "0" @default.
- W2486099164 crossrefType "journal-article" @default.
- W2486099164 hasAuthorship W2486099164A5074056648 @default.
- W2486099164 hasBestOaLocation W24860991641 @default.
- W2486099164 hasConcept C111603439 @default.
- W2486099164 hasConcept C121332964 @default.
- W2486099164 hasConcept C129785596 @default.
- W2486099164 hasConcept C134306372 @default.
- W2486099164 hasConcept C21424316 @default.
- W2486099164 hasConcept C2524010 @default.
- W2486099164 hasConcept C28719098 @default.
- W2486099164 hasConcept C28826006 @default.
- W2486099164 hasConcept C33923547 @default.
- W2486099164 hasConcept C62354387 @default.
- W2486099164 hasConcept C97355855 @default.
- W2486099164 hasConceptScore W2486099164C111603439 @default.
- W2486099164 hasConceptScore W2486099164C121332964 @default.
- W2486099164 hasConceptScore W2486099164C129785596 @default.
- W2486099164 hasConceptScore W2486099164C134306372 @default.
- W2486099164 hasConceptScore W2486099164C21424316 @default.
- W2486099164 hasConceptScore W2486099164C2524010 @default.
- W2486099164 hasConceptScore W2486099164C28719098 @default.
- W2486099164 hasConceptScore W2486099164C28826006 @default.
- W2486099164 hasConceptScore W2486099164C33923547 @default.
- W2486099164 hasConceptScore W2486099164C62354387 @default.
- W2486099164 hasConceptScore W2486099164C97355855 @default.
- W2486099164 hasFunder F4320306076 @default.
- W2486099164 hasIssue "6" @default.
- W2486099164 hasLocation W24860991641 @default.
- W2486099164 hasOpenAccess W2486099164 @default.
- W2486099164 hasPrimaryLocation W24860991641 @default.
- W2486099164 hasRelatedWork W1971295149 @default.
- W2486099164 hasRelatedWork W1980926910 @default.
- W2486099164 hasRelatedWork W1993246898 @default.
- W2486099164 hasRelatedWork W2035026539 @default.
- W2486099164 hasRelatedWork W2041163946 @default.
- W2486099164 hasRelatedWork W2054912819 @default.
- W2486099164 hasRelatedWork W2103708249 @default.
- W2486099164 hasRelatedWork W2204083381 @default.
- W2486099164 hasRelatedWork W2316250911 @default.
- W2486099164 hasRelatedWork W2626380860 @default.
- W2486099164 hasVolume "71" @default.
- W2486099164 isParatext "false" @default.
- W2486099164 isRetracted "false" @default.
- W2486099164 magId "2486099164" @default.
- W2486099164 workType "article" @default.