Numerical Algorithms With Fortran

Author : Gisela Engeln-Müllges,Frank Uhlig
Publisher : Springer
Page : 632 pages
File Size : 49,5 Mb
Release : 1996-08-22
Category : Computers
ISBN : UVA:X004069386

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Numerical Algorithms with Fortran by Gisela Engeln-Müllges,Frank Uhlig Pdf

This comprehensive handbook gives an informal introduction to mathematical and computational principles governing numerical analysis, as well as practical guidelines for using over 130 elaborate numerical analysis routines. It develops detailed formulas for both standard and rarely found algorithms, including many variants for linear and non-linear equation solvers, one- and two-dimensional splines of various kinds, numerical quadrature and cubature formulas of all known stable orders, and stable IVP and BVP solvers, even for stiff systems of differential equations. The descriptions of the algorithms are very detailed and focus on their implementation, giving sensible decision criteria to choose among the algorithms and describing the merits and demerits of each one. "Numerical Algorithms with Fortran" is a depository of highly useful and effective algorithms and codes for the scientist and engineer who needs to have direct access to such algorithms. The programs have been widely field tested. The enclosed CD-ROM contains all computer codes, both for Fortran 77 and compatible with Fortran 90, a compiler, and a test bed of programs and data for most algorithms. Each program includes detailed comments and describes available options, all clearly marked, with a complete list of error codes, etc.

Author : Giesela Engeln-Müllges,Frank Uhlig
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 50,9 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9783642610745

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Numerical Algorithms with C by Giesela Engeln-Müllges,Frank Uhlig Pdf

More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and provides support in choosing the appropriate method for a given task. Topics given special emphasis include converging methods for solving nonlinear equations, methods for solving systems of linear equations for many special matrix structures, and the Shepard method for multidimensional interpolation. The CD contains C-programs for almost all the algorithms given in the book and a compiler, together with software for graphical printing.

Author : Gisela Engeln-Müllges,Frank Uhlig
Publisher : Springer
Page : 0 pages
File Size : 53,5 Mb
Release : 2014-05-14
Category : Mathematics
ISBN : 3642800432

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Numerical Algorithms with Fortran by Gisela Engeln-Müllges,Frank Uhlig Pdf

This is a completely up-to-date compendium of Fortran algorithms for numerical mathematics, including many sophisticated algorithms which are not available elsewhere. All have been extensively field-tested and cover methods for solving nonlinear equations, the method of Laguerre for solving algebraic equations, conjugating gradients for solving linear systems of equations, and the McKee algorithm for solving special systems of symmetric equations. The real, practical algorithms provided make the book indispensable for applied scientists working in all areas of research. The CD contains Fortran programs for the algorithms given in the text.

Author : C. Xavier
Publisher : New Age International
Page : 554 pages
File Size : 47,6 Mb
Release : 1994
Category : Computers
ISBN : 812240670X

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Fortran 77 and Numerical Methods by C. Xavier Pdf

Fortran Is The Pioneer Computer Language Originally Designed To Suit Numerical, Scientific And Engineering Computations. In Spite Of The Birth Of Several Computer Languages, Fortran Is Still Used As A Primary Tool For Programming Numerical Computations. In This Book All The Features Of Fortran 77 Have Been Elaborately Explained With The Support Of Examples And Illustrations. Programs Have Been Designed And Developed In A Systematic Way For All The Classical Problems. All The Topics Of Numerical Methods Have Been Presented In A Simple Style And Algorithms Developed. Complete Fortran 77 Programs And More Than One Sets Of Sample Data Have Been Given For Each Method. The Content Of The Book Have Been Carefully Tailored For A Course Material Of A One Semester Course For The Computer Science, Mathematics And Physics Students.

Author : Sujit Kumar Bose
Publisher : Springer
Page : 467 pages
File Size : 42,6 Mb
Release : 2019-05-13
Category : Mathematics
ISBN : 9789811371141

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Numerical Methods of Mathematics Implemented in Fortran by Sujit Kumar Bose Pdf

This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and for writing computer codes to find solutions. For discrete models, matrix algebra comes into play, while for continuum framework models, real and complex analysis is more suitable. The book clearly describes the method–algorithm–code approach for learning the techniques of scientific computation and how to arrive at accurate solutions by applying the procedures presented. It not only provides instructors with course material but also serves as a useful reference resource. Providing the detailed mathematical proofs behind the computational methods, this book appeals to undergraduate and graduate mathematics and engineering students. The computer codes have been written in the Fortran programming language, which is the traditional language for scientific computation. Fortran has a vast repository of source codes used in real-world applications and has continuously been upgraded in line with the computing capacity of the hardware. The language is fully backwards compatible with its earlier versions, facilitating integration with older source codes.

Author : William S. Dorn,Daniel D. McCracken
Publisher : Unknown
Page : 472 pages
File Size : 49,9 Mb
Release : 1972
Category : Computers
ISBN : UOM:39015004496116

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Numerical Methods with Fortran IV Case Studies by William S. Dorn,Daniel D. McCracken Pdf

Author : Daniel D. McCracken,William S. Dorn
Publisher : Unknown
Page : 480 pages
File Size : 53,6 Mb
Release : 1964
Category : Electronic data processing
ISBN : UOM:39015004976331

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Numerical Methods and FORTRAN Programming by Daniel D. McCracken,William S. Dorn Pdf

This book provides a basic understanding of the numerical solution of problems in modern computing.

Author : Alfio Marazzi
Publisher : CRC Press
Page : 452 pages
File Size : 40,7 Mb
Release : 1993-02-01
Category : Mathematics
ISBN : 0412079917

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Algorithms, Routines, and S-Functions for Robust Statistics by Alfio Marazzi Pdf

ROBETH (written in ANSI FORTRAN 77) is a systematized collection of algorithms that allows computation of a broad class of procedures based on M- and high-breakdown point estimation, including robust regression, robust testing of linear hypotheses, and robust coveriances. This book describes the computational procedures included in ROBETH. Each chapter is organized into three parts: 1. An overview of the theoretical background for the statistical and numerical methods 2. A detailed description of the corresponding FORTRAN subroutines and of the numerical algorithms as they are implemented 3. The scripts of several examples concerning the use of ROBETH by means of the S-PLUS interface, including some examples of high-level S functions.

Author : Richard J. Hanson,Tim Hopkins
Publisher : SIAM
Page : 260 pages
File Size : 40,6 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781611973129

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Numerical Computing with Modern Fortran by Richard J. Hanson,Tim Hopkins Pdf

The Fortran language standard has undergone significant upgrades in recent years (1990, 1995, 2003, and 2008). Numerical Computing with Modern Fortran illustrates many of these improvements through practical solutions to a number of scientific and engineering problems. Readers will discover techniques for modernizing algorithms written in Fortran; examples of Fortran interoperating with C or C++ programs, plus using the IEEE floating-point standard for efficiency; illustrations of parallel Fortran programming using coarrays, MPI, and OpenMP; and a supplementary website with downloadable source codes discussed in the book.

Author : Hans P. Künzi,H. G. Tzschach,C. A. Zehnder
Publisher : Academic Press
Page : 229 pages
File Size : 49,5 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483264714

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Numerical Methods of Mathematical Optimization by Hans P. Künzi,H. G. Tzschach,C. A. Zehnder Pdf

Numerical Methods of Mathematical Optimization: With ALGOL and FORTRAN Programs reviews the theory and the practical application of the numerical methods of mathematical optimization. An ALGOL and a FORTRAN program was developed for each one of the algorithms described in the theoretical section. This should result in easy access to the application of the different optimization methods. Comprised of four chapters, this volume begins with a discussion on the theory of linear and nonlinear optimization, with the main stress on an easily understood, mathematically precise presentation. In addition to the theoretical considerations, several algorithms of importance to the numerical application of optimization theory are described. The next chapter explains the computer programs used in actual optimization, which have the form of procedures or subroutines. The book concludes with an analysis of ALGOL and FORTRAN, paying particular attention to their use in global optimization procedures as well as for the simplex and duoplex methods and the decomposition, Gomory, Beale, and Wolfe algorithms. This monograph will be helpful to students and practitioners of computer science and applied mathematics.

Author : S. D. Conte,Carl De Boor
Publisher : SIAM
Page : 474 pages
File Size : 55,6 Mb
Release : 2018-02-27
Category : Science
ISBN : 9781611975208

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Elementary Numerical Analysis by S. D. Conte,Carl De Boor Pdf

This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Author : Laurence V. Atkinson,Laurence Atkinson,P. J. Harley,J. D. Hudson (Ph. D.)
Publisher : Addison Wesley Publishing Company
Page : 416 pages
File Size : 55,8 Mb
Release : 1989
Category : Computers
ISBN : UOM:39015018916869

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Numerical Methods with Fortran 77 by Laurence V. Atkinson,Laurence Atkinson,P. J. Harley,J. D. Hudson (Ph. D.) Pdf

Author : Thomas Richard McCalla
Publisher : Unknown
Page : 382 pages
File Size : 50,8 Mb
Release : 1967
Category : Computers
ISBN : UOM:39015015428355

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Introduction to Numerical Methods and FORTRAN Programming by Thomas Richard McCalla Pdf

Author : Justin Solomon
Publisher : CRC Press
Page : 400 pages
File Size : 54,5 Mb
Release : 2015-06-24
Category : Computers
ISBN : 9781482251890

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Numerical Algorithms by Justin Solomon Pdf

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Author : Sujit K. Bose
Publisher : Unknown
Page : 128 pages
File Size : 42,6 Mb
Release : 2019
Category : Computer science
ISBN : 9811371156

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Numerical Methods of Mathematics Implemented in Fortran by Sujit K. Bose Pdf

This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and for writing computer codes to find solutions. For discrete models, matrix algebra comes into play, while for continuum framework models, real and complex analysis is more suitable. The book clearly describes the method-algorithm-code approach for learning the techniques of scientific computation and how to arrive at accurate solutions by applying the procedures presented. It not only provides instructors with course material but also serves as a useful reference resource. Providing the detailed mathematical proofs behind the computational methods, this book appeals to undergraduate and graduate mathematics and engineering students. The computer codes have been written in the Fortran programming language, which is the traditional language for scientific computation. Fortran has a vast repository of source codes used in real-world applications and has continuously been upgraded in line with the computing capacity of the hardware. The language is fully backwards compatible with its earlier versions, facilitating integration with older source codes.