Asymptotic-induced numerical methods for conservation laws
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Asymptotic-induced numerical methods for conservation laws

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Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va .
Written in English

Subjects:

  • Asymptotic methods.,
  • Conservation laws.,
  • Numerical analysis.,
  • Perturbation.,
  • Viscosity.

Book details:

Edition Notes

StatementMarc Garbey, Jeffrey S. Scroggs.
SeriesICASE report -- no. 90-87., NASA contractor report -- 187483., NASA contractor report -- NASA CR-187483.
ContributionsScroggs, Jeffrey S., Institute for Computer Applications in Science and Engineering.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL17725526M

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Asymptotic-Induced Numerical Methods for Conservation Laws. Jan 01,  · Numerical Methods for Conservation Laws book. Read reviews from world’s largest community for readers. These notes developed from a course on the numeric /5(9). Asymptotic-induced numerical methods for conservation laws Author: Marc Garbey ; Jeffrey S Scroggs ; Institute for Computer Applications in Science and Engineering. Asymptotic-induced methods are presented for the numerical solution of hyperbolic conservation laws with or without viscosity. The methods consist of multiple stages. The first stage is to obtain a first approximation by using a first-order method, such as the Godunov scheme.

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing. Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un-derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools .

LITERATURE 1. Numerical Methods for Conservation Laws, by Randall J. LeVeque, Birkhauser-Verlag, Basel, ISBN 2. J. Strickwerda: Finite difference schemes and partial dif-. Numerical Methods for Conservation Laws: From Analysis to Algorithm Jan S. Hesthaven Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Numerical methods for Conservation laws: From Analysis to Algorithms Jan S. Hesthaven. MATLAB Software. To order this book click here. Library of Congress Cataloging-in-Publication Data. Names: Hesthaven, Jan S., author. Title: Numerical methods for conservation laws: . Numerical methods for conservation laws and related equations These notes present numerical methods for conservation laws and related time dependent nonlinear partial differential equations. The focus is on both simple scalar problems as well as multi dimensional systems.