Numerical Analysis With Algorithms And Programming

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Numerical Analysis with Algorithms and Programming

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Author : Santanu Saha Ray
Publisher : CRC Press
ISBN 13 : 1498741835
Total Pages : 391 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Numerical Analysis with Algorithms and Programming by : Santanu Saha Ray

Download or read book Numerical Analysis with Algorithms and Programming written by Santanu Saha Ray and published by CRC Press. This book was released on 2018-09-03 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of functions and least square approximation Numerical differentiation and divided differences Numerical quadrature and integration Numerical solutions of ordinary differential equations (ODEs) and boundary value problems Numerical solution of partial differential equations (PDEs) The text develops students’ understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems.

Numerical Algorithms

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Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods

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Author : Anne Greenbaum
Publisher : Princeton University Press
ISBN 13 : 1400842670
Total Pages : 471 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Numerical Methods by : Anne Greenbaum

Download or read book Numerical Methods written by Anne Greenbaum and published by Princeton University Press. This book was released on 2012-04-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online

Numerical Algorithms with C

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Author : Giesela Engeln-Müllges
Publisher : Springer Science & Business Media
ISBN 13 : 3642610749
Total Pages : 610 pages
Book Rating : 4.6/5 (426 download)

Book Synopsis Numerical Algorithms with C by : Giesela Engeln-Müllges

Download or read book Numerical Algorithms with C written by Giesela Engeln-Müllges and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Programming and Numerical Methods in MATLAB

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Author : Steve Otto
Publisher : Springer Science & Business Media
ISBN 13 : 9781846281334
Total Pages : 464 pages
Book Rating : 4.2/5 (813 download)

Book Synopsis An Introduction to Programming and Numerical Methods in MATLAB by : Steve Otto

Download or read book An Introduction to Programming and Numerical Methods in MATLAB written by Steve Otto and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary first course for students in mathematics and engineering Practical in approach: examples of code are provided for students to debug, and tasks – with full solutions – are provided at the end of each chapter Includes a glossary of useful terms, with each term supported by an example of the syntaxes commonly encountered

NUMERICAL METHODS, ALGORITHMS AND TOOLS IN C#.

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Author : WALDEMAR. DOS PASSOS
Publisher :
ISBN 13 : 9780815351214
Total Pages : pages
Book Rating : 4.3/5 (512 download)

Book Synopsis NUMERICAL METHODS, ALGORITHMS AND TOOLS IN C#. by : WALDEMAR. DOS PASSOS

Download or read book NUMERICAL METHODS, ALGORITHMS AND TOOLS IN C#. written by WALDEMAR. DOS PASSOS and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

NUMERICAL ANALYSIS

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Author : Vinay Vachharajani
Publisher : BPB Publications
ISBN 13 : 9387284611
Total Pages : 594 pages
Book Rating : 4.3/5 (872 download)

Book Synopsis NUMERICAL ANALYSIS by : Vinay Vachharajani

Download or read book NUMERICAL ANALYSIS written by Vinay Vachharajani and published by BPB Publications. This book was released on 2018-06-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Description:This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.COVERAGE:Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.Concept of error and their types, propagation of errors through process graph.Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.Differentiation and integration methods.Solution of ordinary and partial differential equations SALIENT FEATURES:Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.Programs are written in C Language for Numerical methods.Topics are explained with suitable examples.Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods. Table Of Contents:Computer ArithmeticError Analysis Solution of Algebraic and Transcendental Equations Solution of System of Linear Equations and Eigen value Problems Finite Differences Interpolation Curve Fitting and Approximation Numerical Differentiation Numerical Integration Difference Equations Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Appendix - I Case Studies / Applications Appendix - II Synthetic Division Bibliography Index

Python Programming and Numerical Methods

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Author : Qingkai Kong
Publisher : Academic Press
ISBN 13 : 0128195509
Total Pages : 482 pages
Book Rating : 4.1/5 (281 download)

Book Synopsis Python Programming and Numerical Methods by : Qingkai Kong

Download or read book Python Programming and Numerical Methods written by Qingkai Kong and published by Academic Press. This book was released on 2020-11-27 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings. Includes tips, warnings and "try this" features within each chapter to help the reader develop good programming practice Summaries at the end of each chapter allow for quick access to important information Includes code in Jupyter notebook format that can be directly run online

Computational Methods for Numerical Analysis with R

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Author : James P Howard, II
Publisher : CRC Press
ISBN 13 : 1498723640
Total Pages : 257 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Computational Methods for Numerical Analysis with R by : James P Howard, II

Download or read book Computational Methods for Numerical Analysis with R written by James P Howard, II and published by CRC Press. This book was released on 2017-07-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Accuracy and Stability of Numerical Algorithms

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Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 9780898718027
Total Pages : 710 pages
Book Rating : 4.7/5 (18 download)

Book Synopsis Accuracy and Stability of Numerical Algorithms by : Nicholas J. Higham

Download or read book Accuracy and Stability of Numerical Algorithms written by Nicholas J. Higham and published by SIAM. This book was released on 2002-01-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

The Numerical Methods Programming Projects Book

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Author : Thomas Allan Grandine
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis The Numerical Methods Programming Projects Book by : Thomas Allan Grandine

Download or read book The Numerical Methods Programming Projects Book written by Thomas Allan Grandine and published by Oxford University Press, USA. This book was released on 1990 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional numerical analysis books concentrate either on the mathematical or programming aspects of numerical algorithms. This textbook is different inasmuch as it emphasizes the relevance of these techniques to the real world and the use of a widely available library of numerical software in their application. The book consists of 22 carefully graded projects which will lead the reader through the techniques typically taught as part of a first course in numerical analysis. Throughout the reader is presented with projects which reflect very real problems that occur in science and industry. At the same time, the reader becomes accustomed to using a good library of numerical software when writing their programs. It is a theme of this book that the use of a solid, robust and bug-free software library will improve computational results and minimize the effort of programming. By integrating the use of the NAG (Numerical Algorithms Group) FORTRAN library into the projects, students will develop experience and expertise in the use of a software library and, by practical example, be better prepared for working further with numerical analysis libraries. This lively and entertaining text will provide a valuable complement to more traditional numerical analysis books. Answers to exercises are included as well as full documentation of the relevant library routines used.

A First Course in Numerical Analysis

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Author : Anthony Ralston
Publisher : Courier Corporation
ISBN 13 : 9780486414546
Total Pages : 644 pages
Book Rating : 4.4/5 (145 download)

Book Synopsis A First Course in Numerical Analysis by : Anthony Ralston

Download or read book A First Course in Numerical Analysis written by Anthony Ralston and published by Courier Corporation. This book was released on 2001-01-01 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Introduction to Numerical Programming

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Author : Titus A. Beu
Publisher : CRC Press
ISBN 13 : 1466569670
Total Pages : 676 pages
Book Rating : 4.4/5 (665 download)

Book Synopsis Introduction to Numerical Programming by : Titus A. Beu

Download or read book Introduction to Numerical Programming written by Titus A. Beu and published by CRC Press. This book was released on 2014-09-03 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Makes Numerical Programming More Accessible to a Wider Audience Bearing in mind the evolution of modern programming, most specifically emergent programming languages that reflect modern practice, Numerical Programming: A Practical Guide for Scientists and Engineers Using Python and C/C++ utilizes the author’s many years of practical research and teaching experience to offer a systematic approach to relevant programming concepts. Adopting a practical, broad appeal, this user-friendly book offers guidance to anyone interested in using numerical programming to solve science and engineering problems. Emphasizing methods generally used in physics and engineering—from elementary methods to complex algorithms—it gradually incorporates algorithmic elements with increasing complexity. Develop a Combination of Theoretical Knowledge, Efficient Analysis Skills, and Code Design Know-How The book encourages algorithmic thinking, which is essential to numerical analysis. Establishing the fundamental numerical methods, application numerical behavior and graphical output needed to foster algorithmic reasoning, coding dexterity, and a scientific programming style, it enables readers to successfully navigate relevant algorithms, understand coding design, and develop efficient programming skills. The book incorporates real code, and includes examples and problem sets to assist in hands-on learning. Begins with an overview on approximate numbers and programming in Python and C/C++, followed by discussion of basic sorting and indexing methods, as well as portable graphic functionality Contains methods for function evaluation, solving algebraic and transcendental equations, systems of linear algebraic equations, ordinary differential equations, and eigenvalue problems Addresses approximation of tabulated functions, regression, integration of one- and multi-dimensional functions by classical and Gaussian quadratures, Monte Carlo integration techniques, generation of random variables, discretization methods for ordinary and partial differential equations, and stability analysis This text introduces platform-independent numerical programming using Python and C/C++, and appeals to advanced undergraduate and graduate students in natural sciences and engineering, researchers involved in scientific computing, and engineers carrying out applicative calculations.

Control Perspectives on Numerical Algorithms and Matrix Problems

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Author : Amit Bhaya
Publisher : SIAM
ISBN 13 : 9780898718669
Total Pages : 297 pages
Book Rating : 4.7/5 (186 download)

Book Synopsis Control Perspectives on Numerical Algorithms and Matrix Problems by : Amit Bhaya

Download or read book Control Perspectives on Numerical Algorithms and Matrix Problems written by Amit Bhaya and published by SIAM. This book was released on 2006-01-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.

Numerical Analysis Using Sage

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Author : George A. Anastassiou
Publisher : Springer
ISBN 13 : 3319167391
Total Pages : 314 pages
Book Rating : 4.3/5 (191 download)

Book Synopsis Numerical Analysis Using Sage by : George A. Anastassiou

Download or read book Numerical Analysis Using Sage written by George A. Anastassiou and published by Springer. This book was released on 2015-04-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding of the theories and ideas from a numerical analysis/numerical methods course via a modern programming language like Sage. Aside from the presentation of fundamental theoretical notions of numerical analysis throughout the text, each chapter concludes with several exercises that are oriented to real-world application. Answers may be verified using Sage. The presented code, written in core components of Sage, are backward compatible, i.e., easily applicable to other software systems such as Mathematica®. Sage is open source software and uses Python-like syntax. Previous Python programming experience is not a requirement for the reader, though familiarity with any programming language is a plus. Moreover, the code can be written using any web browser and is therefore useful with Laptops, Tablets, iPhones, Smartphones, etc. All Sage code that is presented in the text is openly available on SpringerLink.com.

Numerical Methods in Engineering with Python 3

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Author : Jaan Kiusalaas
Publisher : Cambridge University Press
ISBN 13 : 1107033853
Total Pages : 437 pages
Book Rating : 4.1/5 (7 download)

Book Synopsis Numerical Methods in Engineering with Python 3 by : Jaan Kiusalaas

Download or read book Numerical Methods in Engineering with Python 3 written by Jaan Kiusalaas and published by Cambridge University Press. This book was released on 2013-01-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to numerical methods for students in engineering. It uses Python 3, an easy-to-use, high-level programming language.

A First Course in Numerical Methods

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Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 0898719976
Total Pages : 574 pages
Book Rating : 4.8/5 (987 download)

Book Synopsis A First Course in Numerical Methods by : Uri M. Ascher

Download or read book A First Course in Numerical Methods written by Uri M. Ascher and published by SIAM. This book was released on 2011-07-14 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers students a practical knowledge of modern techniques in scientific computing.