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A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems

✍ Scribed by T.E. Simos; Jesus Vigo-Aguiar


Book ID
108314112
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
202 KB
Volume
152
Category
Article
ISSN
0010-4655

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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 ⚖ 133 KB

An eighth algebraic order exponentially ÿtted method is developed for the numerical integration of the Schr odinger equation. The formula considered contains certain free parameters which allow it to be ÿtted automatically to exponential functions. An comparative error analysis is also given. Numeri