๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Iterative numerical solution of scattering problems

โœ Scribed by Lauro Tomio; Sadhan K. Adhikari


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
584 KB
Volume
241
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Numerical solution of time-delayed optim
โœ Cheng-Liang Chen; Daim-Yuang Sun; Chia-Yuan Chang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 142 KB ๐Ÿ‘ 2 views

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

An iterative solution of the two-dimensi
โœ Y. M. Wang; W. C. Chew ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 684 KB

A new method, based on an iterative procedure, for solving the two-dimensional inverse scattering problem is presented. This method employs an equivalent Neumann series solution in each iteration step. The purpose of the algorithm is to provide a general method to solve the two-dimensional imaging p

Variational iterative method for scatter
โœ Sadhan K. Adhikari ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 372 KB

A parameter-free variational iterative method is proposed for scattering problems. The present method yields results that are far better, in convergence, stability and precision, than any other momentum space method. Accurate result is obtained for the atomic exponential (Yukawa) potential with an e

TERMINATION CRITERIA IN ITERATIVE SOLUTI
โœ WALKER, S. P. ;LEE, B. H. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 135 KB ๐Ÿ‘ 1 views

Iterative methods are used increasingly for solution of the extremely large matrix equations generated by integral equation analysis of multi-wavelength frequency domain scattering. Although much cheaper than direct methods, the matrix solution remains the dominant cost, and is very costly. The crit