Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term
DOI10.1080/00207160.2021.1959559zbMath1499.65422OpenAlexW3190860526WikidataQ115552376 ScholiaQ115552376MaRDI QIDQ5079435
Publication date: 27 May 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.1959559
exponential stabilitytime-discrete schemeKato smoothing effectregularized Schrödinger equationdiscrete resolvent estimates
Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectrum, resolvent (47A10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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