Partial Difference Equations Mathematical by Richard Courant (32 results)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of partial difference equations, a powerful mathematical tool used to solve complex problems in physics and other scientific fields. The author explores how these equations can be used to approximate solutions to classic linear partial differ…ential equations, which are notoriously difficult to solve directly. The book focuses on three key areas: elliptic, hyperbolic, and parabolic cases of partial difference equations. It investigates how solutions to these equations behave when the mesh width, a crucial element in the discretization of continuous variables, approaches zero. This process, known as "convergence," is crucial for ensuring that the solutions of the difference equations accurately reflect the behavior of the corresponding differential equations. The author's analysis reveals that the convergence of solutions depends critically on the relationship between the mesh width and the characteristics of the differential equations. This book offers a groundbreaking approach to the study of partial difference equations, paving the way for a deeper understanding of their applications in a wide range of scientific disciplines. 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.
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United… States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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