FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2792515126> ?p ?o ?g. }

• W2792515126 endingPage "566" @default.
• W2792515126 startingPage "543" @default.
• W2792515126 abstract "A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and rigorously analyzed for the nonlinear Dirac equation (NLDE), which involves a dimensionless parameter ε ∈ (0, 1] inversely proportional to the speed of light. The solution to the NLDE propagates waves with wavelength O ( ε 2 ) and O (1) in time and space, respectively. In the nonrelativistic regime, i.e. , 0 < ε ≪ 1, the rapid temporal oscillation causes significantly numerical burdens, making it quite challenging for designing and analyzing numerical methods with uniform error bounds in ε ∈ (0, 1]. The key idea for designing the MTI-FP method is based on adopting a proper multiscale decomposition of the solution to the NLDE and applying the exponential wave integrator with appropriate numerical quadratures. Two independent error estimates are established for the proposed MTI-FP method as h m 0 + τ 2 / ε 2 and h m 0 + τ 2 + ε 2 , where h is the mesh size, τ is the time step and m 0 depends on the regularity of the solution. These two error bounds immediately suggest that the MTI-FP method converges uniformly and optimally in space with exponential convergence rate if the solution is smooth, and uniformly in time with linear convergence rate at O ( τ ) for all ε ∈ (0, 1] and optimally with quadratic convergence rate at O ( τ 2 ) in the regimes when either ε = O (1) or 0 < ε ≲ τ . Numerical results are reported to demonstrate that our error estimates are optimal and sharp." @default.
• W2792515126 created "2018-03-29" @default.
• W2792515126 creator A5003642180 @default.
• W2792515126 creator A5013651928 @default.
• W2792515126 date "2018-03-01" @default.
• W2792515126 modified "2023-10-17" @default.
• W2792515126 title "A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime" @default.
• W2792515126 cites W1968465914 @default.
• W2792515126 cites W1969376419 @default.
• W2792515126 cites W1970048647 @default.
• W2792515126 cites W1974134022 @default.
• W2792515126 cites W1981299847 @default.
• W2792515126 cites W1986806799 @default.
• W2792515126 cites W1990853264 @default.
• W2792515126 cites W1999077739 @default.
• W2792515126 cites W1999564814 @default.
• W2792515126 cites W2004974504 @default.
• W2792515126 cites W2013807320 @default.
• W2792515126 cites W2020729231 @default.
• W2792515126 cites W2028372293 @default.
• W2792515126 cites W2036516029 @default.
• W2792515126 cites W2037728558 @default.
• W2792515126 cites W2043938823 @default.
• W2792515126 cites W2045505006 @default.
• W2792515126 cites W2047270251 @default.
• W2792515126 cites W2053290684 @default.
• W2792515126 cites W2055518725 @default.
• W2792515126 cites W2056470162 @default.
• W2792515126 cites W2066719822 @default.
• W2792515126 cites W2087501754 @default.
• W2792515126 cites W2091305346 @default.
• W2792515126 cites W2093993931 @default.
• W2792515126 cites W2107653719 @default.
• W2792515126 cites W2124382907 @default.
• W2792515126 cites W2143076561 @default.
• W2792515126 cites W2143097120 @default.
• W2792515126 cites W2317392308 @default.
• W2792515126 cites W2318376939 @default.
• W2792515126 cites W2511394998 @default.
• W2792515126 cites W2947056241 @default.
• W2792515126 cites W2963174244 @default.
• W2792515126 cites W2964199329 @default.
• W2792515126 cites W3100405256 @default.
• W2792515126 cites W3102994102 @default.
• W2792515126 cites W3123381822 @default.
• W2792515126 cites W4211077197 @default.
• W2792515126 cites W4232654152 @default.
• W2792515126 doi "https://doi.org/10.1051/m2an/2018015" @default.
• W2792515126 hasPublicationYear "2018" @default.
• W2792515126 type Work @default.
• W2792515126 sameAs 2792515126 @default.
• W2792515126 citedByCount "17" @default.
• W2792515126 countsByYear W27925151262019 @default.
• W2792515126 countsByYear W27925151262020 @default.
• W2792515126 countsByYear W27925151262021 @default.
• W2792515126 countsByYear W27925151262022 @default.
• W2792515126 countsByYear W27925151262023 @default.
• W2792515126 crossrefType "journal-article" @default.
• W2792515126 hasAuthorship W2792515126A5003642180 @default.
• W2792515126 hasAuthorship W2792515126A5013651928 @default.
• W2792515126 hasBestOaLocation W27925151261 @default.
• W2792515126 hasConcept C102519508 @default.
• W2792515126 hasConcept C119599485 @default.
• W2792515126 hasConcept C121332964 @default.
• W2792515126 hasConcept C127162648 @default.
• W2792515126 hasConcept C127413603 @default.
• W2792515126 hasConcept C134306372 @default.
• W2792515126 hasConcept C151376022 @default.
• W2792515126 hasConcept C158622935 @default.
• W2792515126 hasConcept C162324750 @default.
• W2792515126 hasConcept C165801399 @default.
• W2792515126 hasConcept C177937620 @default.
• W2792515126 hasConcept C203024314 @default.
• W2792515126 hasConcept C24872484 @default.
• W2792515126 hasConcept C2777303404 @default.
• W2792515126 hasConcept C2778439541 @default.
• W2792515126 hasConcept C28826006 @default.
• W2792515126 hasConcept C33923547 @default.
• W2792515126 hasConcept C48753275 @default.
• W2792515126 hasConcept C50522688 @default.
• W2792515126 hasConcept C54355233 @default.
• W2792515126 hasConcept C57869625 @default.
• W2792515126 hasConcept C62520636 @default.
• W2792515126 hasConcept C79518650 @default.
• W2792515126 hasConcept C86803240 @default.
• W2792515126 hasConceptScore W2792515126C102519508 @default.
• W2792515126 hasConceptScore W2792515126C119599485 @default.
• W2792515126 hasConceptScore W2792515126C121332964 @default.
• W2792515126 hasConceptScore W2792515126C127162648 @default.
• W2792515126 hasConceptScore W2792515126C127413603 @default.
• W2792515126 hasConceptScore W2792515126C134306372 @default.
• W2792515126 hasConceptScore W2792515126C151376022 @default.
• W2792515126 hasConceptScore W2792515126C158622935 @default.
• W2792515126 hasConceptScore W2792515126C162324750 @default.
• W2792515126 hasConceptScore W2792515126C165801399 @default.
• W2792515126 hasConceptScore W2792515126C177937620 @default.
• W2792515126 hasConceptScore W2792515126C203024314 @default.
• W2792515126 hasConceptScore W2792515126C24872484 @default.

• next