Recent Developments in Numerical Methods

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Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering. Each of these equation types is a focal point f…
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    Om Recent Developments in Numerical Methods

    Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering. Each of these equation types is a focal point for international collaboration and research. This book contains papers by recognized numerical analysts who have made important contributions to the solution of differential systems in the context of realistic applications, and who now report the latest results of their work in numerical methods and software for ODEs/DAEs/PDEs. The papers address parallelization and vectorization of numerical methods, the numerical solution of ODEs/DAEs/PDEs, and the use of these numerical methods in realistic scientific and engineering applications.Contents:An Overview of Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs (G D Byrne & W E Schiesser)Experiments with an Ordinary Differential Equation Solver in the Parallel Solution of Method of Lines Problems on a Shared memory Parallel Computer (D K Kahaner et al.)Crayfishpak: A Vectorized Fortran Package to Solve Helmholtz Equations (R A Sweet)Experiments with an Adaptive H-, P-, R-Refinement Finite Element Method for Parabolic Systems (J E Flaherty & Y Wang)Incomplete Block Factorization Preconditioners: An Implementation for Block Tridiagonal Systems (D E Salane)Fast Generation of Weights in Finite Difference Formulas (B Fornberg)Numerical Methods for Boundary Value Problems in Differential- Algebraic Equations (U M Ascher & L R Petzold)The Solution of a Co-Polymerization Model with VODE (G D Byrne)IndexReadership: Applied mathematicians, engineers and numerical analysts.Key Features:Articles by notable experts in their fields, including Senator Jeff Bingaman, Pulitzer Prize winner Richard Rhodes (The Making of the Atomic Bomb), Robert S Norris (Racing for the Bomb), Gregg Herken (Brotherhood of the Bomb), Joseph Kanon (Los Alamos), Everet Beckner, and many othersNever-before-published personal perspectives and recollections of Robert Oppenheimer from his students and friends

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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    1992
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789814335867
    Sider
    220

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