Ketcheson, LeVeque, and del Razo address Riemann problems as an important class of mathematical problems for first-order hyperbolic partial differential equations that arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, elasticity, and electromagnetics. They review the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, and consider the ideas behind fast approximate solvers for the Riemann problem. Their emphasis is on the general ideas, though in each chapter they delve into a particular application. Readers should have some prior knowledge of hyperbolic problems, they say, because they intend this book to supplement rather than replace standard textbooks on the theory and numerical solution of hyperbolic partial differential equations. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
