This work presents a numerical method to solve the optimal control problem with time-delayed arguments and a "xed terminal time. A series of auxiliary states obtained from the linearly truncated Taylor series expansion are used to represent the status of a time-delayed state at di!erent time interva
Iterative numerical solution of scattering problems
โ Scribed by Lauro Tomio; Sadhan K. Adhikari
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 584 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
An iterative Neumann series method, employing a real auxiliary scattering integral equation, is used to calculate scattering lengths and phase shifts for the atomic Yukawa and exponential potentials. For these potentials the original Neumann series diverges. The present iterative method yields results that are far better, in convergence, stability and precision, than other momentum space methods. Accurate result is obtained in both cases with an estimated error of about 1 in 10" after some 8-10 iterations.
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