Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation
DOI10.4310/CMS.2024.V22.N1.A1OpenAlexW4389469259MaRDI QIDQ6125156
Publication date: 11 April 2024
Published in: Communications in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/cms.2024.v22.n1.a1
long-time dynamicsfractional nonlinear Schrödinger equationimproved uniform error boundregularity compensation oscillationtime-splitting Fourier pseudospectal method
NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Special quantum systems, such as solvable systems (81Q80)
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