• Login
    View Item 
    •   Home
    • Research
    • Books
    • View Item
    •   Home
    • Research
    • Books
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguidePlumX LibguideSubmit an Item

    Statistics

    Display statistics

    Riemann Problems and Jupyter Solutions

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Book
    Authors
    Ketcheson, David I. cc
    LeVeque, Randall J.
    del Razo, Mauricio J.
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Numerical Mathematics Group
    Date
    2020-06-26
    Permanent link to this record
    http://hdl.handle.net/10754/667750
    
    Metadata
    Show full item record
    Abstract
    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. The solution of the Riemann problem captures essential information about these models and is the key ingredient in modern numerical methods for their solution. This book 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. Riemann Problems and Jupyter Solutions - is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations, allowing readers to grasp how the concepts presented are affected by important parameters and to experiment by varying those parameters themselves; - is the only interactive book focused entirely on the Riemann problem; and - develops each concept in the context of a specific physical application, helping readers apply physical intuition in learning mathematical concepts. Graduate students and researchers working in the analysis and/or numerical solution of hyperbolic PDEs will find this book of interest. This includes mathematicians, as well as scientists and engineers, working with applications like fluid dynamics, water waves, traffic modeling, or electromagnetism. Educators interested in developing instructional materials using Jupyter notebooks will also find this book useful. The book is appropriate for courses in Numerical Methods for Hyperbolic PDEs and Analysis of Hyperbolic PDEs, and it can be a great supplement for courses in computational fluid dynamics, acoustics, and gas dynamics.
    Citation
    Ketcheson, D. I., LeVeque, R. J., & del Razo, M. J. (2020). Riemann Problems and Jupyter Solutions. doi:10.1137/1.9781611976212
    Publisher
    Society for Industrial & Applied Mathematics (SIAM)
    ISBN
    9781611976205
    9781611976212
    DOI
    10.1137/1.9781611976212
    Additional Links
    https://epubs.siam.org/doi/book/10.1137/1.9781611976212
    ae974a485f413a2113503eed53cd6c53
    10.1137/1.9781611976212
    Scopus Count
    Collections
    Applied Mathematics and Computational Science Program; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Books

    entitlement

     
    DSpace software copyright © 2002-2021  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.