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February 1, 1992SIAM Journal on Numerical Analysis

An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient

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Abstract

A three-level explicit difference scheme for the Schrödinger equation with a variable coefficient is established. It is proved by the discrete energy method that the scheme is unconditionally stable. MSC codes 65M06 65M12 Keywords Schrödinger’s equation finite-difference scheme stability discrete energy method

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Cite This Study

Weizhong Dai (1992) studied this question.

synapsesocial.com/papers/6a85cf24cf8e1b2ff031aa59 https://doi.org/10.1137/0729011

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