Isbn: 9780243082995 - a note on the convergence of alternating direction methods (classic reprint) (3 Ergebnisse)

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Zustand: New. Print on Demand. This book delves into alternating direction methods, a crucial numerical approach to solving elliptic difference equations. These equations arise commonly in many fields. The author provides a comprehensive analysis of the convergence rates for two fundamental alternating direction methods: the Douglas-Rachford method and the Peaceman-Rachford method. Notably, these methods are applicable to a broad range of elliptic equations with variable coefficients defined in arbitrary regions. The author goes beyond existing proofs to develop novel estimates, demonstrating that the error in the solution is reduced significantly with each iteration, providing valuable insights into the effectiveness of these methods. The book's findings advance our understanding of alternating direction methods, solidifying their importance as powerful tools for solving elliptic equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…