Numerical Computations
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Introduction To Numerical Computations
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Author : James S. Vandergraft
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Introduction To Numerical Computations written by James S. Vandergraft and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
An Introduction To Numerical Computation
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Author : Wen Shen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-10-27
An Introduction To Numerical Computation written by Wen Shen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with Mathematics categories.
Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, graphs and drawings are relied on, to build up intuition. The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations.As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each.A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.
Numerical Methods In Matrix Computations
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Author : Åke Björck
language : en
Publisher: Springer
Release Date : 2014-10-07
Numerical Methods In Matrix Computations written by Åke Björck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.
Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
Numerical Computational Methods
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Author : Prabhakar Baliram Patil
language : en
Publisher: Alpha Science International, Limited
Release Date : 2009
Numerical Computational Methods written by Prabhakar Baliram Patil and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Though Analytical and/or Experimental solutions for every problem are not possible, approximate solutions are. Numerical methods provide the best approximation among all. Numerical Computational Methods presents a host of numerical methods, their algorithmic presentation and computer programs in Visual Basic, FORTRAN and C++. Perhaps it is for the first time that any book provides numerical methods in Visual Basic. The text is exhaustive and illuminates basic derivations of the formulae to be converted into programs. For each program algorithm is expressed and each step of the algorithm can be directly converted into computer program statement. All topics in the book are explicit in nature, self explanatory and student friendly. Solved problems accelerate the grasp of the particular numerical method. This book can be used both as a text and a good reference book for any researcher who needs numerical evaluations his work. The reader is expected to have only elementary knowledge of differentiation and integration.
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 In Economics
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Author : Kenneth L. Judd
language : en
Publisher: MIT Press
Release Date : 1998-09-28
Numerical Methods In Economics written by Kenneth L. Judd and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-28 with Business & Economics categories.
To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.
Fundamentals Of Numerical Computation
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Author : Tobin A. Driscoll
language : en
Publisher: SIAM
Release Date : 2017-12-21
Fundamentals Of Numerical Computation written by Tobin A. Driscoll and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-21 with Science categories.
Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to 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. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?
Numerical Analysis
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Author : M. Schatzman
language : en
Publisher: Oxford University Press, USA
Release Date : 2002
Numerical Analysis written by M. Schatzman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts Part I starts with a guided tour of floating number systems and machine arithmetic. The exponential and the logarithm are constructed from scratch to present a new point of view on questions well-known to the reader, and the needed knowledge of linear algebra is summarized. Part II starts with polynomial approximation (polynomial interpolation, mean-square approximation, splines). It then deals with Fourier series, providing the trigonometric version of least square approximations, and one of the most important numerical algorithms, the fast Fourier transform. Any scientific computation program spends most of its time solving linear systems or approximating the solution of linear systems, even when trying to solve non-linear systems. Part III is therefore about numerical linear algebra, while Part IV treats a selection of non-linear or complex problems: resolution of linear equations and systems, ordinary differential equations, single step and multi-step schemes, and an introduction to partial differential equations. The book has been written having in mind the advanced undergraduate students in mathematics who are interested in the spice and spirit of numerical analysis. The book does not assume previous knowledge of numerical methods. It will also be useful to scientists and engineers wishing to learn what mathematics has to say about the reason why their numerical methods work - or fail.
Numerical Methods That Work
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Author : Forman S. Acton
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-31
Numerical Methods That Work written by Forman S. Acton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Mathematics categories.
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.