# zbMATH — the first resource for mathematics

A variable-step Numerov method for the numerical solution of the Schrödinger equation. (English) Zbl 1070.81513
Summary: Numerovs method is one of the most widely used algorithms for solving second-order ordinary differential equations of the form $$y^{\prime\prime} = f(x,y)$$. The one-dimensional time-independent Schrödinger equation is a particular example of this type of equation. In this article we present a variable-step Numerov method for the numerical solution of the Schrödinger equation.

##### MSC:
 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81V55 Molecular physics 81-08 Computational methods for problems pertaining to quantum theory
##### Keywords:
Numerov method; Schrödinger equation; variable stepsize
Full Text:
##### References:
 [9] H. Ramos, J. Vigo-Aguiar, Variable step-size Störmer?Cowell methods, Math. Model. Comput. (to appear). · Zbl 1032.65519
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.