𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A “refined Born approximation” and Aitken's Δ2 method

✍ Scribed by John P. Coleman

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
158 KB
Volume
4
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

Rayski has suggested methods for calculating scattering amplitudes, which are based on the use of parameterized wave functions in a Born expansion. It is shown that his one-parameter methods are equivalent to Aitken's A2 transformation applied to successive elements of a Born sequence. Many-parameter variants are also discussed.

📜 SIMILAR VOLUMES

A refined Born approximation
A refined Born approximation
✍ Jerzy Rayski 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 256 KB

The proposed method of computing scattering amplitudes and cross-sections is by far more efficient but not much more cumbersome than the Born approximation. It applies to the cases of medium strong couplings in high as weU as low energy region.

A refined jacobi-davidson method and its
A refined jacobi-davidson method and its correction equation
✍ Shaoqiang Feng; Zhongxiao Jia 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 602 KB

A central problem in the Jacobi-Davidson method is to expand a projection subspace by solving a certain correction equation. It has been commonly accepted that the correction equation always has a solution. However, it is proved in this paper that this is not true. Conditions are given to decide whe

Effective Born radii in the generalized
Effective Born radii in the generalized Born approximation: The importance of being perfect
✍ Alexey Onufriev; David A. Case; Donald Bashford 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract Generalized Born (GB) models provide, for many applications, an accurate and computationally facile estimate of the electrostatic contribution to aqueous solvation. The GB models involve two main types of approximations relative to the Poisson equation (PE) theory on which they are base