Analysis and approximation of gradient flows associated with a fractional order Gross-Pitaevskii free energy

DOI10.1007/S42967-019-0008-9zbMath1449.65302OpenAlexW2921583315WikidataQ128219415 ScholiaQ128219415MaRDI QIDQ2289847

Mark Ainsworth, Zhiping Mao

Publication date: 27 January 2020

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-019-0008-9

zbMATH Keywords

well-posednessfractional differential equationFourier spectral methodnon-local energy

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) NLS equations (nonlinear Schrödinger equations) (35Q55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Fractional partial differential equations (35R11)

Related Items (1)

Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

Cites Work

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