On the Partial Difference Equations, of Mathematical Physics (Classic Reprint)

Richard Courant

ISBN 10: 1330102754 / ISBN 13: 9781330102756

Editore: Forgotten Books, 2017

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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 differential 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.

Codice articolo 9781330102756_0

Dati bibliografici

• Titolo: On the Partial Difference Equations, of Mathematical Physics (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1330102754
• ISBN 13: 9781330102756
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Calculus

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Riassunto

Excerpt from On the Partial Difference Equations, of Mathematical Physics

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.