Novel explicit finite-difference schemes for time-dependent Schrödinger equations

DOI10.1016/0010-4655(91)90249-KzbMath0850.65320MaRDI QIDQ1911676

Ronald E. Mickens

Publication date: 17 July 1996

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationfinite-difference schemes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05)

Related Items (4)

Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation ⋮ AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES ⋮ On the use of nonstandard finite difference methods† ⋮ Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations

Cites Work

• Finite-differenc models of ordinary differential equations: Influence of denominator functions
• Stability analysis of finite difference schemes for quantum mechanical equations of motion
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• New Asymptotics for Old Wave Equations
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations
• Stable Explicit Schemes for Equations of the Schrödinger Type
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