This book presents numerical methods for solving large linear systems that emerge from finite element discretizations of partial differential equations. The author presents a unified abstract theory for additive Schwarz-type methods for general linear, non-selfadjoint, second order elliptic and parabolic problems. The convergence rate of the algorithms is estimated and shown to be optimal in both the elliptic and parabolic problems in R2 and R3. Numerical experiments are also presented. The algorithms introduced in this book are promising for parallel computation because they involve solving a number of smaller linear systems, which correspond to the restriction of the original problem to subregions, instead of the large original system.
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Paperback. Condition: New. Print on Demand. This book presents numerical methods for solving large linear systems that emerge from finite element discretizations of partial differential equations. The author presents a unified abstract theory for additive Schwarz-type methods for general linear, non-selfadjoint, second order elliptic and parabolic problems. The convergence rate of the algorithms is estimated and shown to be optimal in both the elliptic and parabolic problems in R2 and R3. Numerical experiments are also presented. The algorithms introduced in this book are promising for parallel computation because they involve solving a number of smaller linear systems, which correspond to the restriction of the original problem to subregions, instead of the large original system. 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. Seller Inventory # 9781333219604_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333219604
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333219604
Quantity: 15 available