Precise Numerical Methods Using C++

Precise Numerical Methods Using C++
Author: Oliver Aberth
Publisher: Academic Press
Total Pages: 260
Release: 1998
Genre: Computers
ISBN: 9780120417506

This book explains how precise numerical analysis is constructed with C++. Included is a CD-ROM which contains executable Windows 95 programs for the PC and which demonstrates how these programs can be used to solvetypical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented.

Numerical Recipes in C++

Numerical Recipes in C++
Author: William H. Press
Publisher:
Total Pages: 0
Release: 2002
Genre: Computers
ISBN: 9788175960961

Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.

Introduction to Precise Numerical Methods

Introduction to Precise Numerical Methods
Author: Oliver Aberth
Publisher: Elsevier
Total Pages: 267
Release: 2007-04-11
Genre: Mathematics
ISBN: 008047120X

Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. The book also provides exercises which illustrate points from the text and references for the methods presented. - Clearer, simpler descriptions and explanations of the various numerical methods - Two new types of numerical problems; accurately solving partial differential equations with the included software and computing line integrals in the complex plane

Numerical Algorithms

Numerical Algorithms
Author: Justin Solomon
Publisher: CRC Press
Total Pages: 400
Release: 2015-06-24
Genre: Computers
ISBN: 1482251892

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

Numerical Software with Result Verification

Numerical Software with Result Verification
Author: René Alt
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2004-03-12
Genre: Computers
ISBN: 3540212604

This book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 03041 on Numerical Software with Result Verification held at Dagstuhl Castle, Germany, in January 2003. The 18 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification.

A First Course in Numerical Methods

A First Course in Numerical Methods
Author: Uri M. Ascher
Publisher: SIAM
Total Pages: 574
Release: 2011-07-14
Genre: Mathematics
ISBN: 0898719976

Offers students a practical knowledge of modern techniques in scientific computing.

Computing for Numerical Methods Using Visual C++

Computing for Numerical Methods Using Visual C++
Author: Shaharuddin Salleh
Publisher: John Wiley & Sons
Total Pages: 468
Release: 2007-12-14
Genre: Technology & Engineering
ISBN: 0470192623

A visual, interdisciplinary approach to solving problems in numerical methods Computing for Numerical Methods Using Visual C++ fills the need for a complete, authoritative book on the visual solutions to problems in numerical methods using C++. In an age of boundless research, there is a need for a programming language that can successfully bridge the communication gap between a problem and its computing elements through the use of visual-ization for engineers and members of varying disciplines, such as biologists, medical doctors, mathematicians, economists, and politicians. This book takes an interdisciplinary approach to the subject and demonstrates how solving problems in numerical methods using C++ is dominant and practical for implementation due to its flexible language format, object-oriented methodology, and support for high numerical precisions. In an accessible, easy-to-follow style, the authors cover: Numerical modeling using C++ Fundamental mathematical tools MFC interfaces Curve visualization Systems of linear equations Nonlinear equations Interpolation and approximation Differentiation and integration Eigenvalues and Eigenvectors Ordinary differential equations Partial differential equations This reader-friendly book includes a companion Web site, giving readers free access to all of the codes discussed in the book as well as an equation parser called "MyParser" that can be used to develop various numerical applications on Windows. Computing for Numerical Methods Using Visual C++ serves as an excellent reference for students in upper undergraduate- and graduate-level courses in engineering, science, and mathematics. It is also an ideal resource for practitioners using Microsoft Visual C++.

Symbolic and Numerical Scientific Computation

Symbolic and Numerical Scientific Computation
Author: Franz Winkler
Publisher: Springer
Total Pages: 399
Release: 2003-08-03
Genre: Computers
ISBN: 354045084X

The thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.

Scientific Computing, Validated Numerics, Interval Methods

Scientific Computing, Validated Numerics, Interval Methods
Author: Walter Krämer
Publisher: Springer Science & Business Media
Total Pages: 385
Release: 2013-04-17
Genre: Computers
ISBN: 1475764847

Scan 2000, the GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics and Interval 2000, the International Conference on Interval Methods in Science and Engineering were jointly held in Karlsruhe, September 19-22, 2000. The joint conference continued the series of 7 previous Scan-symposia under the joint sponsorship of GAMM and IMACS. These conferences have traditionally covered the numerical and algorithmic aspects of scientific computing, with a strong emphasis on validation and verification of computed results as well as on arithmetic, programming, and algorithmic tools for this purpose. The conference further continued the series of 4 former Interval conferences focusing on interval methods and their application in science and engineering. The objectives are to propagate current applications and research as well as to promote a greater understanding and increased awareness of the subject matters. The symposium was held in Karlsruhe the European cradle of interval arithmetic and self-validating numerics and attracted 193 researchers from 33 countries. 12 invited and 153 contributed talks were given. But not only the quantity was overwhelming we were deeply impressed by the emerging maturity of our discipline. There were many talks discussing a wide variety of serious applications stretching all parts of mathematical modelling. New efficient, publicly available or even commercial tools were proposed or presented, and also foundations of the theory of intervals and reliable computations were considerably strengthened.