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    1. Data och IT
    2. Systemvetenskap och AI

    Practical Scientific Computing

    AvMuhammad Ali,Victor Zalizniak

    Häftad, Engelska, 2011

    827 kr

    Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

    Beskrivning

    Scientific computing is about developing mathematical models, numerical methods and computer implementations to study and solve real problems in science, engineering, business and even social sciences. Mathematical modelling requires deep understanding of classical numerical methods. This essential guide provides the reader with sufficient foundations in these areas to venture into more advanced texts.The first section of the book presents numEclipse, an open source tool for numerical computing based on the notion of MATLAB®. numEclipse is implemented as a plug-in for Eclipse, a leading integrated development environment for Java programming. The second section studies the classical methods of numerical analysis. Numerical algorithms and their implementations are presented using numEclipse.Practical scientific computing is an invaluable reference for undergraduate engineering, science and mathematics students taking numerical methods courses. It will also be a useful handbook for postgraduate researchers and professionals whose work involves scientific computing.

    Produktinformation

    • Utgivningsdatum:2011-02-26
    • Vikt:330 g
    • Format:Häftad
    • Språk:Engelska
    • Förlag:Elsevier Science & Technology
    • ISBN:9780857092250

    Utforska kategorier

    • Systemvetenskap och AI inom Data och IT
    • Tillämpad matematik inom Naturvetenskap och teknik

    Mer om författaren

    Professor of Biotechnology, Vice Chancellor, Government College University, Faisalabad, Pakistan Dr. Victor Zalizniak was awarded his Masters in Physics at Krasnoyarsk State University, Russia before becoming a Research Fellow at the Centre for Scientific Computing at the Russian Academy of Sciences (Siberian Branch). He then moved to the Department of Aerospace Engineering at the Royal Melbourne Institute of Technology where he obtained his PhD. In 2001 he returned to the Department of Computer Science at his alma mater, Krasnoyarsk State University, where he continues to lecture, research and write in his particular fields of computational physics and mathematical physics. He is the author of several books on scientific computing including Essentials of Computational Physics Parts 1 and 2.

    Innehållsförteckning

    • PrefaceAcknowledgementsPart IChapter 1: Introduction1.1 Getting Started1.2 Interpreter1.3 ProgramChapter 2: Expressions2.1 Matrix2.2 Real Number2.3 Complex Number2.4 Boolean2.5 String2.6 Structure2.7 Cell2.8 Range Expression2.9 Boolean Expression2.10 Relational Expression2.11 Numerical ExpressionChapter 3: Statements3.1 Assignment Statement3.2 Loop Statements3.3 Conditional Statements3.4 Continue and Break StatementsChapter 4: Programming4.1 Program4.2 Function4.3 Procedure4.4 Java Programming4.5 C ProgrammingChapter 5: Architecture5.1 Front-end5.2 Back-end5.3 User Interface5.4 Gnuplot Interface5.5 Execution EngineChapter 6: Plotting6.1 Simple Function Plot (fplot)6.2 Two-Dimensional Plots6.3 Three-Dimensional PlotsPart IIChapter 7: Solving Nonlinear Equations7.1 Calculation of Roots with the use of Iterative Functions7.2 ExercisesChapter 8: Solving Systems of Linear Equations8.1 Linear Algebra Background8.2 Systems of Linear Equations8.3 Types of Matrices that arise from Applications and Analysis8.4 Error Sources8.5 Condition Number8.6 Direct Methods8.7 Iterative Methods8.8 ExercisesChapter 9: Computational Eigenvalue Problems9.1 Basic Facts concerning Eigenvalue Problems9.2 Localization of Eigenvalues9.3 Power Method9.4 Inverse Iteration9.5 Iteration with a Shift of Origin9.6 The QR Method9.7 ExercisesChapter 10: Introduction to Finite Difference Schemes for Ordinary Differential Equations10.1 Elementary Example of a Finite Difference Scheme10.2 Approximation and Stability10.3 Numerical Solution of Initial Value Problems10.4 Numerical Solution of Boundary Value Problems10.5 Error Estimation and Control10.6 ExercisesChapter 11: Interpolation and Approximation11.1 Interpolation11.2 Approximation of Functions and Data Representation11.3 ExercisesBibliography