Numerical Methods Software And Analysis
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Numerical Computation 1
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Author : Christoph W. Ueberhuber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Computation 1 written by Christoph W. Ueberhuber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.
Numerical Methods In Software And Analysis
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Author : John R. Rice
language : en
Publisher: Elsevier
Release Date : 2014-05-19
Numerical Methods In Software And Analysis written by John R. Rice and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Mathematics categories.
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
Numerical Methods
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Author : Anne Greenbaum
language : en
Publisher: Princeton University Press
Release Date : 2012-04
Numerical Methods written by Anne Greenbaum and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04 with Computers categories.
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.
Numerical Methods And Software
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Author : David Kahaner
language : en
Publisher:
Release Date : 1988
Numerical Methods And Software written by David Kahaner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Computers categories.
Mathematics of Computing -- Numerical Analysis.
Multibody System Simulation
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Author : Reinhold von Schwerin
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-09-06
Multibody System Simulation written by Reinhold von Schwerin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-06 with Computers categories.
The book presents innovative methods for the solution of multibody descriptor models. It emphasizes the interdependence of modeling and numerical solution of the arising system of differential-algebraic equations (DAE). Here, it is shown that modifications of non-stiff ODE-solvers are very effective for a large class of multibody systems. In particular, implicit methods are found to dovetail optimally with the linearly implicit structure of the model equations, allowing an inverse dynamics approach for their solution. Furthermore, the book stresses the importance of software development in scientific computing and thus presents a complete example of an interdisciplinary problem solution for an important field of application from technical mechanics.
Numerical Analysis With Algorithms And Programming
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Author : Santanu Saha Ray
language : en
Publisher: CRC Press
Release Date : 2018-09-03
Numerical Analysis With Algorithms And Programming written by Santanu Saha Ray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.
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 Methods
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Author : Srimanta Pal
language : en
Publisher: Oxford Higher Education
Release Date : 2009
Numerical Methods written by Srimanta Pal and has been published by Oxford Higher Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Technology & Engineering categories.
With an objective to provide a firm understanding of the basic concepts of numerical methods, the book provides introductory chapters on number systems, binary arithmetic, and programming tools and techniques for different programming languages such as C, C++, BASIC and FORTRAN. Subsequently, the book offers an exhaustive coverage of topics such as numerical solutions of linear and non-linear equations, eigenvlues and eigenvectors, linear least squares problem with interpolation and extrapolation, numerical differentiation and integration, ordinary differential equations, partial differential equations, and parabolic and elliptic partial differential equations. Written in a lucid style, the book contains a large number of solved examples and numerous end-chapter exercises to make for a student-friendly book. The book will also be useful to postgraduate students as well as to practicing numerical analysts, statisticians, and engineers.
Python Programming And Numerical Methods
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Author : Qingkai Kong
language : en
Publisher: Academic Press
Release Date : 2020-12-02
Python Programming And Numerical Methods written by Qingkai Kong and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with Technology & Engineering categories.
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.
Numerical Methods Software And Analysis
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Author : John Rischard Rice
language : en
Publisher:
Release Date : 1983
Numerical Methods Software And Analysis written by John Rischard Rice and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with FORTRAN (Computer program language) categories.