Differential Equations, Difference Equations and Matrix Theory
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.52
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This thought-provoking book explores the interplay between hyperbolic systems of differential and difference equations, examining the theoretical underpinnings of their stability and convergence. The author, a highly regarded mathematician, presents a novel approach to proving stability that extends the celebrated Friedrichs' criterion to non-symmetric systems. The book demonstrates how this extended criterion can be applied to various difference schemes, offering a deeper understanding of their behavior. Furthermore, the author delves into the mathematical properties of the eigenvalues of matrices associated with these systems, revealing their convexity and monotonicity. This work contributes significantly to the understanding of numerical methods for solving hyperbolic equations and provides valuable insights for researchers and practitioners in applied mathematics and computational science. 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.…
Seller Inventory # 9781330134054_0
- Title
- Differential Equations, Difference Equations and Matrix Theory
- Author
- Peter Do Lax
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330134052
- ISBN 13
- 9781330134054
- Seller catalogs
- Calculus
Explore the real-world math behind stable, reliable numerical methods and the behavior of matrices under all real linear combinations.
This book distills key ideas about hyperbolic systems, eigenvalues, and the way matrix structure governs the stability of difference schemes used to approximate differential equations.
Readers will see how classical results for symmetric matrices extend to broader classes, with practical criteria for when schemes converge and how to judge stability. The text links matrix theory to partial differential equations and provides methodical approaches that illuminate both theory and computation.
- Foundations of hyperbolic equations and when initial value problems are properly posed
- Monotonicity and convexity properties of eigenvalues across matrix spaces
- Criteria for convergence of one-step finite difference schemes, including Neumann-type conditions
- Connections between symmetric cases and general non-symmetric scenarios for stability analyses
Ideal for readers of advanced linear algebra and numerical analysis who want a rigorous, application-focused perspective.
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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