Scientific Computing Vol. I - Linear and Nonlinear Equations /

This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. This book and its companio...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Trangenstein, John A. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Έκδοση:1st ed. 2017.
Σειρά:Texts in Computational Science and Engineering, 18
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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250 |a 1st ed. 2017. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XXVI, 622 p. 31 illus., 20 illus. in color.  |b online resource. 
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505 0 |a 1. Introduction to Scientific Computing -- 1. Working with a Computer -- 3. Linear Algebra -- 4. Scientific Visualization -- 5. Nonlinear Equations -- 6. Least Square Problems -- References. - Author Index. 
520 |a This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. 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 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for an introductory course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as principles of computer languages or numerical linear algebra. 
650 0 |a Computer mathematics. 
650 0 |a Differential equations. 
650 0 |a Mathematical optimization. 
650 1 4 |a Computational Mathematics and Numerical Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M1400X 
650 2 4 |a Ordinary Differential Equations.  |0 http://scigraph.springernature.com/things/product-market-codes/M12147 
650 2 4 |a Optimization.  |0 http://scigraph.springernature.com/things/product-market-codes/M26008 
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