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Numerical Methods for Conservation Laws Lectures in Mathematics ETH Zürich 2 Randall J LeVeque Kostenlose Bücher BMF

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Kostenlose Bücher Numerical Methods for Conservation Laws Lectures in Mathematics ETH Zürich 2 Randall J LeVeque BMF


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  • These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. 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. 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 that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present­ ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
    ebook,Randall J. LeVeque,Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich),Birkhäuser,Mathematical Analysis,A,Analysis,CFL condition; average; compactness; convergence; hyperbolic system; integral; numerical method; stability,CFL condition;average;compactness;convergence;hyperbolic system;integral;numerical method;stability,Calculus mathematical analysis,Computational Mathematics and Numerical Analysis,Computer science_xMathematics,Differential Equations - General,Global analysis (Mathematics),MATHEMATICS / Counting Numeration,MATHEMATICS / Differential Equations / General,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics,Mathematics Mathematical Analysis,Mathematics and Statistics,Mathematik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik,Non-Fiction,Numerical analysis,Physics - Mathematical Computational,SCI/TECH,Science/Math,Science/Mathematics,Science/Physics - Mathematical Computational,Science/Waves Wave Mechanics,Switzerland,Waves Wave Mechanics,Differential Equations - Partial,Mathematics / Counting Numeration,Mathematics / Differential Equations / Partial,Mathematics / Mathematical Analysis,Mathematics,Science/Mathematics,Numerical analysis,Probability statistics

    Numerical Methods for Conservation Laws Lectures in Mathematics ETH Zürich 2 Randall J LeVeque Reviews :



    These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. 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. 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 that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present­ ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

    ebook,Randall J. LeVeque,Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich),Birkhäuser,Mathematical Analysis,A,Analysis,CFL condition; average; compactness; convergence; hyperbolic system; integral; numerical method; stability,CFL condition;average;compactness;convergence;hyperbolic system;integral;numerical method;stability,Calculus mathematical analysis,Computational Mathematics and Numerical Analysis,Computer science_xMathematics,Differential Equations - General,Global analysis (Mathematics),MATHEMATICS / Counting Numeration,MATHEMATICS / Differential Equations / General,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics,Mathematics Mathematical Analysis,Mathematics and Statistics,Mathematik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik,Non-Fiction,Numerical analysis,Physics - Mathematical Computational,SCI/TECH,Science/Math,Science/Mathematics,Science/Physics - Mathematical Computational,Science/Waves Wave Mechanics,Switzerland,Waves Wave Mechanics,Differential Equations - Partial,Mathematics / Counting Numeration,Mathematics / Differential Equations / Partial,Mathematics / Mathematical Analysis,Mathematics,Science/Mathematics,Numerical analysis,Probability statistics

    Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich) - edition by Randall J. LeVeque. Download it once and read it on your device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Numerical Methods for Conservation Laws (Lectures in Mathematics. ETH Zürich).


     

    Product details

    • File Size 12925 KB
    • Print Length 236 pages
    • Publisher Birkhäuser; 2 edition (December 6, 2012)
    • Publication Date December 6, 2012
    • Sold by  Services LLC
    • Language English
    • ASIN B00LP53T16
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