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Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

✍ Scribed by Th. Monovasilis; Z. Kalogiratou; Th. Monovasilis; T. E. Simos

Publisher
Springer
Year
2006
Tongue
English
Weight
124 KB
Volume
40
Category
Article
ISSN
0259-9791

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✍ T.E. Simos 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 500 KB

A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with othe

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✍ T.E Simos 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 115 KB

A P-stable exponentially fitted method is developed in this paper for the numerical integration of the Schrödinger equation. An application to the bound-states problem (we solve the radial Schrödinger equation in order to find eigenvalues for which the wavefunction and its derivative are continuous