Jonathan Goodman Randall Leveque (1 results)

Paperback. Condition: New. Print on Demand. This book focuses on scalar conservation laws in two space dimensions. It investigates the accuracy of numerical schemes used to solve these laws, which describe phenomena such as fluid flow and shock waves. The author proves that any conservative scheme designed to diminish total variation in the solution can only achieve first-order accuracy. This has significant implications for the design of stable numerical schemes for these physical systems. 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.…