Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis

DOI10.1137/S0036142902412658zbMath1060.65102OpenAlexW1964285010MaRDI QIDQ4443672

Nuria Reguera, Isaías Alonso-Mallo

Publication date: 18 January 2004

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

Full work available at URL: https://doi.org/10.1137/s0036142902412658

zbMATH Keywords

error estimatesCauchy problemnumerical experimentsSchrödinger equationsemidiscretizationRunge-Kutta methodsabsorbing boundary conditionstransparent boundary equations

Mathematics Subject Classification ID

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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