Some new Numerov-type methods with minimal phase lag for the numerical integration of the radial Schrödinger equation
- 20 December 1994
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 83 (6) , 1145-1153
- https://doi.org/10.1080/00268979400101841
Abstract
A new family of P-stable two-step methods with minimal phase lag is developed for the numerical integration of the special second-order initial value problem. An application to the one-dimensional Schrödinger equation indicates that these new methods are generally more accurate than previously developed finite difference methods.Keywords
This publication has 19 references indexed in Scilit:
- The royal road to an energy-conserving predictor-corrector methodComputer Physics Communications, 1992
- A four-step phase-fitted method for the numerical integration of second order initial-value problemsBIT Numerical Mathematics, 1991
- A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problemInternational Journal of Computer Mathematics, 1991
- On testing difference equations for the diatomic eigenvalue problemJournal of Computational Chemistry, 1988
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: explicit methodJournal of Computational and Applied Mathematics, 1986
- A variable step method for the numerical integration of the one-dimensional Schrödinger equationComputer Physics Communications, 1985
- A high order method for the numerical integration of the one-dimensional Schrödinger equationComputer Physics Communications, 1984
- The method of Raptis and Allison with automatic error controlComputer Physics Communications, 1980
- A one‐step method for direct integration of structural dynamic equationsInternational Journal for Numerical Methods in Engineering, 1980
- A numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energiesComputer Physics Communications, 1980