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Numerical Accuracies Of Lagranges And Newton Polynomial Interpolation
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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.
Book Synopsis An Introduction to Numerical Analysis for Electrical and Computer Engineers by : Christopher J. Zarowski
Download or read book An Introduction to Numerical Analysis for Electrical and Computer Engineers written by Christopher J. Zarowski and published by John Wiley & Sons. This book was released on 2004-05-13 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
Book Synopsis Explorations In Numerical Analysis: Python Edition by : James V Lambers
Download or read book Explorations In Numerical Analysis: Python Edition written by James V Lambers and published by World Scientific. This book was released on 2021-01-14 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.
Book Synopsis A Theoretical Introduction to Numerical Analysis by : Victor S. Ryaben'kii
Download or read book A Theoretical Introduction to Numerical Analysis written by Victor S. Ryaben'kii and published by CRC Press. This book was released on 2006-11-02 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access
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 708 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.
Book Synopsis Numerical Methods for Chemical Engineering by : Kenneth J. Beers
Download or read book Numerical Methods for Chemical Engineering written by Kenneth J. Beers and published by Cambridge University Press. This book was released on 2007 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of numerical mathematics and scientific computing to chemical engineering.
Book Synopsis Numerical Methods For Scientific And Engineering Computation by : M.K. Jain
Download or read book Numerical Methods For Scientific And Engineering Computation written by M.K. Jain and published by New Age International. This book was released on 2003 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis NUMERICAL METHODS FOR SCIENTISTS AND ENGINEERS, FOURTH EDITION by : Rao, K. Sankara
Download or read book NUMERICAL METHODS FOR SCIENTISTS AND ENGINEERS, FOURTH EDITION written by Rao, K. Sankara and published by PHI Learning Pvt. Ltd.. This book was released on 2017-12-01 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a clarity of approach, this easy-to-comprehend book gives an in-depth analysis of the topics under Numerical Methods, in a systematic manner. Primarily intended for the undergraduate and postgraduate students in many branches of engineering, physics, mathematics and all those pursuing Bachelors/Masters in computer applications. Besides students, those appearing for competitive examinations, research scholars and professionals engaged in numerical computation will also be benefited by this book. The fourth edition of this book has been updated by adding a current topic of interest on Finite Element Methods, which is a versatile method to solve numerically, several problems that arise in engineering design, claiming many advantages over the existing methods. Besides, it introduces the basics in computing, discusses various direct and iterative methods for solving algebraic and transcendental equations and a system of non-linear equations, linear system of equations, matrix inversion and computation of eigenvalues and eigenvectors of a matrix. It also provides a detailed discussion on Curve fitting, Interpolation, Numerical Differentiation and Integration besides explaining various single step and predictor–corrector methods for solving ordinary differential equations, finite difference methods for solving partial differential equations, and numerical methods for solving Boundary Value Problems. Fourier series approximation to a real continuous function is also presented. The text is augmented with a plethora of examples and solved problems along with well-illustrated figures for a practical understanding of the subject. Chapter-end exercises with answers and a detailed bibliography have also been provided. NEW TO THIS EDITION • Includes two new chapters on the basic concepts of the Finite Element Method and Coordinate Systems in Finite Element Methods with Applications in Heat Transfer and Structural Mechanics. • Provides more than 350 examples including numerous worked-out problems. • Gives detailed solutions and hints to problems under Exercises.
Book Synopsis Numerical Analysis for Engineers by : Bilal Ayyub
Download or read book Numerical Analysis for Engineers written by Bilal Ayyub and published by CRC Press. This book was released on 2015-09-18 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials. Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems. The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.
Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Book Synopsis Numerical Methods for Scientists and Engineers by : Zekeriya Altaç
Download or read book Numerical Methods for Scientists and Engineers written by Zekeriya Altaç and published by CRC Press. This book was released on 2024-10-15 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Scientists and Engineers: With Pseudocodes is designed as a primary textbook for a one-semester course on Numerical Methods for sophomore or junior-level students. It covers the fundamental numerical methods required for scientists and engineers, as well as some advanced topics which are left to the discretion of instructors. The objective of the text is to provide readers with a strong theoretical background on numerical methods encountered in science and engineering, and to explain how to apply these methods to practical, real-world problems. Readers will also learn how to convert numerical algorithms into running computer codes. Features: Numerous pedagogic features including exercises, “pros and cons” boxes for each method discussed, and rigorous highlighting of key topics and ideas Suitable as a primary text for undergraduate courses in numerical methods, but also as a reference to working engineers A Pseudocode approach that makes the book accessible to those with different (or no) coding backgrounds, which does not tie instructors to one particular language over another A dedicated website featuring additional code examples, quizzes, exercises, discussions, and more: https://github.com/zaltac/NumMethodsWPseudoCodes A complete Solution Manual and PowerPoint Presentations are available (free of charge) to instructors at www.routledge.com/9781032754741
Book Synopsis Knowledge-Based Intelligent System Advancements: Systemic and Cybernetic Approaches by : Jozefczyk, Jerzy
Download or read book Knowledge-Based Intelligent System Advancements: Systemic and Cybernetic Approaches written by Jozefczyk, Jerzy and published by IGI Global. This book was released on 2010-08-31 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge-Based Intelligent System Advancements: Systemic and Cybernetic Approaches presents selected new AI–based ideas and methods for analysis and decision making in intelligent information systems derived using systemic and cybernetic approaches. This book is useful for researchers, practitioners and students interested intelligent information retrieval and processing, machine learning and adaptation, knowledge discovery, applications of fuzzy based methods and neural networks.
Author :Management Association, Information Resources Publisher :IGI Global ISBN 13 :1466639954 Total Pages :1587 pages Book Rating :4.4/5 (666 download)
Book Synopsis Image Processing: Concepts, Methodologies, Tools, and Applications by : Management Association, Information Resources
Download or read book Image Processing: Concepts, Methodologies, Tools, and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2013-05-31 with total page 1587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advancements in digital technology continue to expand the image science field through the tools and techniques utilized to process two-dimensional images and videos. Image Processing: Concepts, Methodologies, Tools, and Applications presents a collection of research on this multidisciplinary field and the operation of multi-dimensional signals with systems that range from simple digital circuits to computers. This reference source is essential for researchers, academics, and students in the computer science, computer vision, and electrical engineering fields.
Book Synopsis Advanced Digital Signal Processing and Noise Reduction by : Saeed V. Vaseghi
Download or read book Advanced Digital Signal Processing and Noise Reduction written by Saeed V. Vaseghi and published by John Wiley & Sons. This book was released on 2008-12-23 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital signal processing plays a central role in the development of modern communication and information processing systems. The theory and application of signal processing is concerned with the identification, modelling and utilisation of patterns and structures in a signal process. The observation signals are often distorted, incomplete and noisy and therefore noise reduction, the removal of channel distortion, and replacement of lost samples are important parts of a signal processing system. The fourth edition of Advanced Digital Signal Processing and Noise Reduction updates and extends the chapters in the previous edition and includes two new chapters on MIMO systems, Correlation and Eigen analysis and independent component analysis. The wide range of topics covered in this book include Wiener filters, echo cancellation, channel equalisation, spectral estimation, detection and removal of impulsive and transient noise, interpolation of missing data segments, speech enhancement and noise/interference in mobile communication environments. This book provides a coherent and structured presentation of the theory and applications of statistical signal processing and noise reduction methods. Two new chapters on MIMO systems, correlation and Eigen analysis and independent component analysis Comprehensive coverage of advanced digital signal processing and noise reduction methods for communication and information processing systems Examples and applications in signal and information extraction from noisy data Comprehensive but accessible coverage of signal processing theory including probability models, Bayesian inference, hidden Markov models, adaptive filters and Linear prediction models Advanced Digital Signal Processing and Noise Reduction is an invaluable text for postgraduates, senior undergraduates and researchers in the fields of digital signal processing, telecommunications and statistical data analysis. It will also be of interest to professional engineers in telecommunications and audio and signal processing industries and network planners and implementers in mobile and wireless communication communities.
Book Synopsis Introduction to Numerical Analysis by : A. Neumaier
Download or read book Introduction to Numerical Analysis written by A. Neumaier and published by Cambridge University Press. This book was released on 2001-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.
Book Synopsis Numerical Methods in Software and Analysis by : John R. Rice
Download or read book Numerical Methods in Software and Analysis written by John R. Rice and published by Elsevier. This book was released on 2014-05-19 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Introduction to Numerical Analysis Using MATLAB® by : Butt
Download or read book Introduction to Numerical Analysis Using MATLAB® written by Butt and published by Jones & Bartlett Learning. This book was released on 2009-02-17 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.
