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A family of P-stable exponentially‐fitted methods for the numerical solution of the Schrödinger equation

✍ Scribed by T.E. Simos

Book ID
110385245
Publisher
Springer
Year
1999
Tongue
English
Weight
164 KB
Volume
25
Category
Article
ISSN
0259-9791

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📜 SIMILAR VOLUMES

P-stable Exponentially Fitted Methods fo
P-stable Exponentially Fitted Methods for the Numerical Integration of the Schrödinger Equation
✍ 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

Exponential fitted methods for the numer
Exponential fitted methods for the numerical integration of the Schrödinger equation
✍ 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