Title: On Some Iterative Methods for Solving Elliptic Difference Equations (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0266693415
ISBN 13: 9780266693413
Binding: HRD
Condition: New
Weight: 286 grams

About this title

Synopsis

Explore a general framework of iterative methods for solving large elliptic difference equations and learn how to pick the best scheme for speed and stability.

This book presents a family of iterative schemes tailored to common five-point Laplace grids. It explains how eigenvalues guide convergence, introduces complete image classes, and shows how to relate different schemes to a reference method. A detailed treatment of Laplace’s equation demonstrates practical application and how known convergence results arise from the theory.

Learn how to model and analyze iterative methods using eigenvalues and matrix splittings.
See how reference schemes and their “images” help identify the best performing methods.
Explore complete image classes and how they cover many established and generalized schemes.
Review a concrete example with Laplace’s equation to connect theory to computation.

Ideal for readers of numerical analysis and computational mathematics seeking a clear path to efficient, reliable iterative solvers.

"About this title" may belong to another edition of this title.

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