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Scientific Computing: Vol. I - Linear and Nonlinear Equations de John A. Trangenstein

Scientific Computing: Vol. I - Linear and Nonlinear Equations: Texts in Computational Science and Engineering, cartea 18

Autor John A. Trangenstein
en Limba Engleză Paperback – 9 dec 2018
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.
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Specificații

ISBN-13: 9783030098704
ISBN-10: 3030098702
Pagini: 622
Ilustrații: XXVI, 622 p. 31 illus., 20 illus. in color.
Dimensiuni: 155 x 235 x 45 mm
Greutate: 0.98 kg
Ediția:Softcover reprint of the original 1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Texts in Computational Science and Engineering

Locul publicării:Cham, Switzerland

Cuprins

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

Recenzii

“A comprehensive and largely self-contained treatment of the fundamental numerical mathematics necessary for addressing many of the mathematical problems that arise often in the physical sciences and engineering.” (Jason M. Graham, MAA Reviews, December, 2018)​

Notă biografică

John Trangenstein is Professor of Mathematics Emeritus at Duke University in Durham North Carolina. He was a professor at Duke from 1991 to 2011. Previously he was a Mathematician in the Applied Mathematics Group at Lawrence Livermore National Laboratory from 1986 to 1991, a Research Specialist at Exxon Production Laboratory in Houston from 1981 to 1986, a Mathematician at S Cubed in San Diego from 1979 to 1981, and an Assistant Professor of Mathematics at the University of California at San Diego from 1975 to 1979. He received his PhD in Applied Mathematics from Cornell University in 1975, and his SB degree from the University of Chicago in 1972. He has authored two other book, with Cambridge University Press, namely Numerical Solution of Hyperbolic Partial Differential Equations (2009) and Numerical Solution of Elliptic and Parabolic Partial Differential Equations (2013).


Textul de pe ultima copertă

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.

Caracteristici

Interactive HTML version uses 138 JavaScript programs for reader experimentation with algorithms Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB