On Some Iterative Methods for Solving Elliptic Difference Equations (Classic Reprint) - Softcover

Herbert B. Keller

 
9781332092321: On Some Iterative Methods for Solving Elliptic Difference Equations (Classic Reprint)

Synopsis

This book introduces a new mathematical methodology for tackling elliptical equations. These are commonly found in physics and engineering, and describe phenomena such as heat flow through materials or interactions between charged particles. Current approaches to solving these equations rely on extensive computation, which becomes impractical as problem size and precision demands increase. The author introduces a framework for iterative methods, which significantly reduces computational requirements without sacrificing results quality. The methods are conceptually presented and explored via a specific example, but the techniques are generalizable to other elliptical equations. This book will be of great interest to applied mathematicians and computational scientists who work on modeling and solving real-world problems.

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