Difference Schemes With High Order of Accuracy for Solving Hyperbolic Equations

Peter D. Lax

ISBN 10: 1330147421 / ISBN 13: 9781330147429

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book delves into the realm of solving complex mathematical equations that model real-world phenomena with high accuracy. The author delves into the intricacies of difference schemes, numerical approximations used to solve these equations, focusing on second-order accuracy to minimize errors. The book meticulously analyzes the stability of these schemes, a crucial factor in ensuring reliable solutions over time. Additionally, it explores the application of these schemes to systems of conservation laws, equations that describe the behavior of fluids and gases. Through rigorous analysis and practical examples, this book equips mathematicians, physicists, and engineers with a comprehensive understanding of difference schemes, enabling them to tackle complex simulations with confidence. Its insights advance the field of numerical analysis and contribute to the wider pursuit of scientific knowledge. 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 # 9781330147429_0

Bibliographic Details

• Title: Difference Schemes With High Order of Accuracy for Solving Hyperbolic Equations
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1330147421
• ISBN 13: 9781330147429
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

This book delves into the realm of solving complex mathematical equations that model real-world phenomena with high accuracy. The author delves into the intricacies of difference schemes, numerical approximations used to solve these equations, focusing on second-order accuracy to minimize errors. The book meticulously analyzes the stability of these schemes, a crucial factor in ensuring reliable solutions over time. Additionally, it explores the application of these schemes to systems of conservation laws, equations that describe the behavior of fluids and gases. Through rigorous analysis and practical examples, this book equips mathematicians, physicists, and engineers with a comprehensive understanding of difference schemes, enabling them to tackle complex simulations with confidence. Its insights advance the field of numerical analysis and contribute to the wider pursuit of scientific knowledge.

About the Author

Peter D. Lax, PhD, is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences at New York University. Dr. Lax is the recipient of the Abel Prize for 2005 "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." * A student and then colleague of Richard Courant, Fritz John, and K. O. Friedrichs, he is considered one of the world's leading mathematicians. He has had a long and distinguished career in pure and applied mathematics, and with over fifty years of experience in the field, he has made significant contributions to various areas of research, including integratable systems, fluid dynamics, and solitonic physics, as well as mathematical and scientific computing.