Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations

DOI10.1137/S0036142900374433zbMath1018.65118OpenAlexW1966277387MaRDI QIDQ4539418

Nuria Reguera, Isaías Alonso-Mallo

Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142900374433

zbMATH Keywords

method of linesSchrödinger equationunbounded domainsinitial boundary value problemsRunge-Kutta methodsabsorbing boundary conditions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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