A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations
DOI10.1016/j.apnum.2022.07.012OpenAlexW4286695449MaRDI QIDQ2085662
Emmanuel Lorin, Xavier Antoine
Publication date: 18 October 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.07.012
domain decomposition methodfractional LaplacianSchwarz relaxation waveform algorithmspace fractional heat equationtime-dependent space fractional Schrödinger equation
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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