Accurate Absorbing Boundary Conditions for the Two-Dimensional Nonlocal Schrödinger Equations
DOI10.1137/21m1442048zbMath1529.65017MaRDI QIDQ6116388
Songsong Ji, Gang Pang, Jiwei Zhang
Publication date: 18 July 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
discrete Fourier transformfully discretizeddiscrete Green's functionsrecursive relationshiptwo-dimensional nonlocal Schrödinger equation
Numerical methods for integral equations (65R20) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical integration (65D30) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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