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Author : G. Alefeld,R. Grigorieff
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783709185773
Author : G. Alefeld,R. D. Grigorieff
Publisher : Springer
Page : 0 pages
File Size : 47,7 Mb
Release : 1980
Category : Numerical analysis
ISBN : 038781566X
Author : Tobin A Driscoll,Richard J. Braun
Publisher : SIAM
Page : 615 pages
File Size : 54,8 Mb
Release : 2022-08-24
Category : Mathematics
ISBN : 9781611977011
Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.
Author : G. Alefeld
Publisher : Unknown
Page : 229 pages
File Size : 40,6 Mb
Release : 1980
Category : Electronic
ISBN : 038781566X
Author : L. F. Shampine,Richard C. Allen,S. Pruess
Publisher : Wiley-Interscience
Page : 302 pages
File Size : 42,7 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015037837922
This is a practical text that develops the mathematics and computer implementation of the most important methods for basic computational tasks and then applies them to real problems, providing access to implementation as well as methodology. Computer codes are provided in FORTRAN, C, C++, and MATLAB. They are applied in example programs and to case studies of problems that are not routine. A solutions manual is provided for instructors. The total package thus eliminates the need for other supplementary materials.
Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 41,8 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9789811204432
This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.
Author : M. G. Cox,S. J. Hammarling
Publisher : Unknown
Page : 368 pages
File Size : 47,8 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015019619900
Published to honor the late Jim Wilkinson, the respected pioneer in numerical analysis, this book includes contributions from his colleagues and collaborators, leading experts in their own right. The breadth of Wilkinson's research is reflected in the topics covered, which include linear algebra, error analysis and computer arithmetic algorithms, and mathematical software. An invaluable reference, the book is completely up-to-date with the latest developments on the Lanczos algorithm, QR-factorizations, error propagation models, parameter estimation problems, sparse systems, and shape-preserving splines. Reflecting the current growth and vitality of this field, the volume is an essential reference for all numerical analysts.
Author : James S. Vandergraft
Publisher : Academic Press
Page : 388 pages
File Size : 53,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267098
Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.
Author : P. M. Dew,K. R. James
Publisher : Springer
Page : 310 pages
File Size : 49,9 Mb
Release : 1983
Category : Computers
ISBN : UOM:39015006052164
Our intention in this book is to cover the core material in numerical analysis normally taught to students on degree courses in computer science. The main emphasis is placed on the use of analysis and programming techniques to produce well-designed, reliable mathematical software. The treatment should be of interest also to students of mathematics, science and engineering who wish to learn how to write good programs for mathematical computations. The reader is assumed to have some acquaintance with Pascal programming. Aspects of Pascal particularly relevant to numerical computation are revised and developed in the first chapter. Although Pascal has some drawbacks for serious numerical work (for example, only one precision for real numbers), the language has major compensating advantages: it is a widely used teaching language that will be familiar to many students and it encourages the writing of clear, well structured programs. By careful use of structure and documentation, we have produced codes that we believe to be readable; particular care has been taken to ensure that students should be able to understand the codes in conjunction with the descriptive material given in the book.
Author : John R. Rice
Publisher : Elsevier
Page : 720 pages
File Size : 46,9 Mb
Release : 2014-05-19
Category : Mathematics
ISBN : 9781483295688
Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts. Emphasizes the use of high-quality mathematical software for numerical computation Extensive use of IMSL routines Features extensive examples and case studies
Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 47,8 Mb
Release : 2011-06-11
Category : Mathematics
ISBN : 9783642194955
The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.
Author : Robert Glassey
Publisher : Unknown
Page : 283 pages
File Size : 50,5 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0122861558
As many in the scientific community move from FORTRAN toward C, there is a need for books to make this transition smooth and effective. This book was written by a mathematician to address the need for such a reference and focuses on C from a mathematical perspective. No prior knowledge of C is assumed, and the troublesome areas such as pointers, arrays, and dynamic memory allocation are thoroughly covered. This book is intended to be a guide for learning C through numerical analysis, and will serve as a supplemental text in numerical analysis, numerical methods, scientific computing, or computational mathematics courses.
Author : Nabil Nassif,Dolly Khuwayri Fayyad
Publisher : CRC Press
Page : 338 pages
File Size : 45,5 Mb
Release : 2013-08-05
Category : Mathematics
ISBN : 9781466589483
Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple and double-precision standards as used in scientific computer environments such as MATLAB® version 7. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors discuss computer arithmetic as a source for generating round-off errors and how to avoid the use of algebraic expression that may lead to loss of significant figures. They cover nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®. Each chapter ends with a large number of exercises, with answers to odd-numbered exercises provided at the end of the book. Throughout the seven chapters, several computer projects are proposed. These test the students' understanding of both the mathematics of numerical methods and the art of computer programming.
Author : Brian Hilton Flowers
Publisher : Oxford University Press, USA
Page : 520 pages
File Size : 49,5 Mb
Release : 1995
Category : Computers
ISBN : UOM:39015034915820
This text on numerical computing, presented through the medium of the C++ language, is designed for students of science and engineering who are seriously studying numerical methods for the first time. It should also be of interest to computing scientists who wish to see how C++ can be used in earnest for numerical computation. A good knowledge of at least one programming language, such as Basic, Fortran or Pascal, is assumed, while a working knowledge of C would be an advantage. However, no prior knowledge of C++ is assumed. The language is developed in step with its numerical applications. What results is a powerful framework for numerical computations. As befits an introductory text, programming effort relates mostly to the classical numerical algorithms. However, greater emphasis is placed on recursive functions than is usually the case, and some interesting use is also made of recursive data structures for solving numerical problems.
Author : Ladis D. Kovach
Publisher : Unknown
Page : 120 pages
File Size : 49,8 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:49015000672387
