ISBN: 9781330394533 - high order fast laplace solvers for the dirichlet problem on general regions (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 presents a compelling study of finite difference methods used for the resolution of Laplace's equation. An original convergence proof of hl , not found elsewhere, is given, demonstrating that one of the methods has an accuracy of at least O(h5.5) in L2. The author has developed highly accurate finite difference schemes for Laplace's equation with the Dirichlet boundary condition on general bounded regions in n dimensions. The most accurate of these has an L2 error of order h5.5, which is significant for use in mathematical modeling. The book also includes a detailed treatment of the capacitance matrix method used to solve the linear systems of algebraic equations, making this an indispensable guidebook for readers interested in numerical analysis and the numerical solution of partial differential 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. …