Synopsis
Uncover the complexities of mathematical techniques used to approximate solutions to hyperbolic conservation laws. This book delves into the intricacies of finite difference schemes, exploring their convergence properties and ability to capture physically relevant solutions. The author examines monotone schemes, proving their convergence to the desired solutions, and contrasts it with non-monotone schemes, demonstrating cases where they may not. Through rigorous mathematical analysis and numerical examples, the book sheds light on the relationship between monotonicity and the presence of viscosity terms. It highlights the significance of these schemes in understanding the behavior of conservation laws, particularly in the presence of shocks and discontinuities. By exploring the theoretical foundations and practical implications of these techniques, this book extends our knowledge of numerical methods for solving hyperbolic conservation laws and offers valuable insights for researchers, students, and practitioners working in applied mathematics, computational science, and related fields.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for On Finite-Difference Approximations and Entropy Conditions...
Seller Image
On Finite-Difference Approximations and Entropy Conditions for Shocks
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Print on Demand. Uncover the complexities of mathematical techniques used to approximate solutions to hyperbolic conservation laws. This book delves into the intricacies of finite difference schemes, exploring their convergence properties and ability to capture physically relevant solutions. The author examines monotone schemes, proving their convergence to the desired solutions, and contrasts it with non-monotone schemes, demonstrating cases where they may not. Through rigorous mathematical analysis and numerical examples, the book sheds light on the relationship between monotonicity and the presence of viscosity terms. It highlights the significance of these schemes in understanding the behavior of conservation laws, particularly in the presence of shocks and discontinuities. By exploring the theoretical foundations and practical implications of these techniques, this book extends our knowledge of numerical methods for solving hyperbolic conservation laws and offers valuable insights for researchers, students, and practitioners working in applied mathematics, computational science, and related fields. 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. Seller Inventory # 9781333609528_0
Buy New
US$ 17.58
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
On FiniteDifference Approximations and Entropy Conditions for Shocks Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333609528
Stock Image
On FiniteDifference Approximations and Entropy Conditions for Shocks Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333609528
Buy New
US$ 28.38
US$ 4.43 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available