✦ LIBER ✦
High-order methods with minimal phase-lag for the numerical integration of the special second-order initial value problem and their application to the one-dimensional Schrödinger equation
✍ Scribed by T.E. Simos
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 277 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
Two two-step sixth-order methods with phase-lag of order eight and ten are developed for the numerical integration of the special second-order initial value problem. One of these methods is P-stable and the other has an interval of periodicity larger than the Numerov method. An application to the one-dimensional Schrödinger equation on the resonance problem, indicates that these new methods are generally more accurate than methods developed by Chawla and Rao. We note that the new methods introduce a new approach for the numerical integration of the Schrödinger equation.