Numerical Computation 1

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Numerical Computation 1

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Author : Christoph W. Ueberhuber
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-02-27

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 1997-02-27 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.

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 Scientific Computing

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Author : Germund Dahlquist
language : en
Publisher: SIAM
Release Date : 2008-09-04

Numerical Methods In Scientific Computing written by Germund Dahlquist and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Mathematics categories.

This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Numerical Computation Unit 1 Introduction To Numerical Methods

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Author : Open University
language : en
Publisher:
Release Date : 1976

Numerical Computation Unit 1 Introduction To Numerical Methods written by Open University and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

Elementary Numerical Computing With Mathematica

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Author : Robert D. Skeel
language : en
Publisher: McGraw-Hill Companies
Release Date : 1993

Elementary Numerical Computing With Mathematica written by Robert D. Skeel and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.

Mathematics of Computing -- Numerical Analysis.

Introduction To Numerical Computation

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Author : J. Thomas King
language : en
Publisher: McGraw-Hill Companies
Release Date : 1984

Introduction To Numerical Computation written by J. Thomas King and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

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.

Fundamentals Of Numerical Computing

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Author : L. F. Shampine
language : en
Publisher: Wiley-Interscience
Release Date : 1997

Fundamentals Of Numerical Computing written by L. F. Shampine and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

This book examines the solution of some of the most common problems of numerical computation. By concentrating on one effective algorithm for each basic task, it develops the fundamental theory in a brief, elementary way. There are ample exercises, and codes are provided to reduce the time otherwise required for programming and debugging. Exposes readers to art of numerical computing as well as the science. Readers need only a familiarity with either FORTRAN or C. Applications are taken from a variety of disciplines including engineering, physics, and chemistry.

Numerical Analysis 1 E

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Author : Siva Ramakrishna Das
language : en
Publisher: Pearson Education India
Release Date : 2014

Numerical Analysis 1 E written by Siva Ramakrishna Das and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

A text book designed exclusively for undergraduate students, Numerical Analysis presents the theoretical and numerical derivations amply supported by rich pedagogy for practice. With exhaustive theory to reinforce practical computations, the book delves into the concepts of errors in numerical computation, algebraic and transcendental equations, solution of linear system of equation, curve fitting, initial-value problem for ordinary differential equations, boundary-value problems of second order partial differential equations and solution of difference equations with constant coefficient.

Computer Oriented Numerical Methods

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Author : N Datta
language : en
Publisher: Vikas Publishing House
Release Date : 2004

Computer Oriented Numerical Methods written by N Datta and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.

This book clearly presents the algorithms required for easy implementation of numerical methods in computer programming. The book deals with the important topics of numerical methods, including errors in numerical computation, in a lucid style. Chapter-end short questions with answers and appendices with theory questions and ‘C’ programs are student-friendly feature of the book.