Matches in SemOpenAlex for { <https://semopenalex.org/work/W2520347720> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2520347720 endingPage "159" @default.
- W2520347720 startingPage "144" @default.
- W2520347720 abstract "In this paper, we propose a new time splitting Fourier spectral method for the semi-classical Schrödinger equation with vector potentials. Compared with the results in [21], our method achieves spectral accuracy in space by interpolating the Fourier series via the NonUniform Fast Fourier Transform (NUFFT) algorithm in the convection step. The NUFFT algorithm helps maintain high spatial accuracy of Fourier method, and at the same time improve the efficiency from O(N2) (of direct computation) to O(NlogN) operations, where N is the total number of grid points. The kinetic step and potential step are solved by analytical solution with pseudo-spectral approximation, and, therefore, we obtain spectral accuracy in space for the whole method. We prove that the method is unconditionally stable, and we show improved error estimates for both the wave function and physical observables, which agree with the results in [3] for vanishing potential cases and are superior to those in [21]. Extensive one and two dimensional numerical studies are presented to verify the properties of the proposed method, and simulations of 3D problems are demonstrated to show its potential for future practical applications." @default.
- W2520347720 created "2016-09-23" @default.
- W2520347720 creator A5028268055 @default.
- W2520347720 creator A5031373151 @default.
- W2520347720 creator A5048202614 @default.
- W2520347720 date "2017-01-01" @default.
- W2520347720 modified "2023-10-06" @default.
- W2520347720 title "An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT" @default.
- W2520347720 cites W1494364037 @default.
- W2520347720 cites W1963611163 @default.
- W2520347720 cites W1992388197 @default.
- W2520347720 cites W1995034557 @default.
- W2520347720 cites W2001888406 @default.
- W2520347720 cites W2007274640 @default.
- W2520347720 cites W2007404344 @default.
- W2520347720 cites W2010122118 @default.
- W2520347720 cites W2011618387 @default.
- W2520347720 cites W2012300893 @default.
- W2520347720 cites W2013529907 @default.
- W2520347720 cites W2039914675 @default.
- W2520347720 cites W2044482442 @default.
- W2520347720 cites W2046000651 @default.
- W2520347720 cites W2046446819 @default.
- W2520347720 cites W2046913111 @default.
- W2520347720 cites W2051993838 @default.
- W2520347720 cites W2056972996 @default.
- W2520347720 cites W2056979287 @default.
- W2520347720 cites W2080732943 @default.
- W2520347720 cites W2090324938 @default.
- W2520347720 cites W2094160749 @default.
- W2520347720 cites W2112514557 @default.
- W2520347720 cites W2151251793 @default.
- W2520347720 cites W2169501376 @default.
- W2520347720 cites W2321155246 @default.
- W2520347720 cites W3099965099 @default.
- W2520347720 cites W3106151910 @default.
- W2520347720 doi "https://doi.org/10.1016/j.apnum.2016.08.015" @default.
- W2520347720 hasPublicationYear "2017" @default.
- W2520347720 type Work @default.
- W2520347720 sameAs 2520347720 @default.
- W2520347720 citedByCount "7" @default.
- W2520347720 countsByYear W25203477202016 @default.
- W2520347720 countsByYear W25203477202019 @default.
- W2520347720 countsByYear W25203477202020 @default.
- W2520347720 countsByYear W25203477202021 @default.
- W2520347720 countsByYear W25203477202022 @default.
- W2520347720 crossrefType "journal-article" @default.
- W2520347720 hasAuthorship W2520347720A5028268055 @default.
- W2520347720 hasAuthorship W2520347720A5031373151 @default.
- W2520347720 hasAuthorship W2520347720A5048202614 @default.
- W2520347720 hasBestOaLocation W25203477201 @default.
- W2520347720 hasConcept C102519508 @default.
- W2520347720 hasConcept C11413529 @default.
- W2520347720 hasConcept C134306372 @default.
- W2520347720 hasConcept C177937620 @default.
- W2520347720 hasConcept C203024314 @default.
- W2520347720 hasConcept C207864730 @default.
- W2520347720 hasConcept C23463724 @default.
- W2520347720 hasConcept C28826006 @default.
- W2520347720 hasConcept C33923547 @default.
- W2520347720 hasConcept C45374587 @default.
- W2520347720 hasConcept C75172450 @default.
- W2520347720 hasConceptScore W2520347720C102519508 @default.
- W2520347720 hasConceptScore W2520347720C11413529 @default.
- W2520347720 hasConceptScore W2520347720C134306372 @default.
- W2520347720 hasConceptScore W2520347720C177937620 @default.
- W2520347720 hasConceptScore W2520347720C203024314 @default.
- W2520347720 hasConceptScore W2520347720C207864730 @default.
- W2520347720 hasConceptScore W2520347720C23463724 @default.
- W2520347720 hasConceptScore W2520347720C28826006 @default.
- W2520347720 hasConceptScore W2520347720C33923547 @default.
- W2520347720 hasConceptScore W2520347720C45374587 @default.
- W2520347720 hasConceptScore W2520347720C75172450 @default.
- W2520347720 hasFunder F4320306076 @default.
- W2520347720 hasFunder F4320320883 @default.
- W2520347720 hasFunder F4320321001 @default.
- W2520347720 hasLocation W25203477201 @default.
- W2520347720 hasLocation W25203477202 @default.
- W2520347720 hasOpenAccess W2520347720 @default.
- W2520347720 hasPrimaryLocation W25203477201 @default.
- W2520347720 hasRelatedWork W1574935133 @default.
- W2520347720 hasRelatedWork W2094684004 @default.
- W2520347720 hasRelatedWork W2099309112 @default.
- W2520347720 hasRelatedWork W2214731417 @default.
- W2520347720 hasRelatedWork W2294744240 @default.
- W2520347720 hasRelatedWork W2370547058 @default.
- W2520347720 hasRelatedWork W31830636 @default.
- W2520347720 hasRelatedWork W4224306892 @default.
- W2520347720 hasRelatedWork W4298260447 @default.
- W2520347720 hasRelatedWork W6842695 @default.
- W2520347720 hasVolume "111" @default.
- W2520347720 isParatext "false" @default.
- W2520347720 isRetracted "false" @default.
- W2520347720 magId "2520347720" @default.
- W2520347720 workType "article" @default.