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Book Synopsis
This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.

It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.

The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.

Riemann Problems and Jupyter Solutions

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    A Paperback / softback by David I. Ketcheson, Randall J. LeVeque, Mauricio J. del Razo

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      Publisher: Society for Industrial & Applied Mathematics,U.S.
      Publication Date: Publication Date: 30/11/2020
      ISBN13: 9781611976205, 978-1611976205
      ISBN10: 1611976200
      Also in:
      Applied mathematics Differential and Riemannian geometry Differential calculus and equations

      Description

      Book Synopsis
      This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.

      It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.

      The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.

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