| Document Type
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BL
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| Record Number
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864114
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| Main Entry
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Trangenstein, John A.
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| Title & Author
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Scientific computing. : Vol. III,\ John A. Trangenstein.
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| Publication Statement
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Cham :: Springer,, [2017]
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| Series Statement
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Texts in computational science and engineering ;; 20
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| Page. NO
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1 online resource
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| ISBN
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3319691104
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: 9783319691107
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3319691090
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9783319691091
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| Bibliographies/Indexes
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Includes bibliographical references and indexes.
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| Contents
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1. Interpolation and Approximation -- Differentiation and Integration -- Initial Value Problems -- Boundary Value Problems -- References -- Author Index.
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| Abstract
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This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving differential equations. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 90 examples, 200 exercises, 36 algorithms, 40 interactive JavaScript programs, 91 references to software programs and 1 case study.
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| Subject
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Approximation theory.
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| Subject
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Approximation theory.
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| Subject
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Differential calculus equations.
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Mathematics-- Applied.
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Mathematics-- Counting Numeration.
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| Subject
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Mathematics-- Differential Equations.
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| Subject
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Numerical analysis.
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| Subject
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Optimization.
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| Dewey Classification
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511/.4
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| LC Classification
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QA221
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| Parallel Title
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Approximation and integration
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