Numerical Computation 1

Author : Christoph W. Ueberhuber
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642591181

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Numerical Computation 1 by Christoph W. Ueberhuber Pdf

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.

Author : Tobin A. Driscoll,Richard J. Braun
Publisher : SIAM
Page : 583 pages
File Size : 45,6 Mb
Release : 2017-12-21
Category : Science
ISBN : 9781611975086

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Fundamentals of Numerical Computation by Tobin A. Driscoll,Richard J. Braun Pdf

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.?

Author : James S. Vandergraft
Publisher : Academic Press
Page : 389 pages
File Size : 40,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267098

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Introduction to Numerical Computations by James S. Vandergraft Pdf

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.

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 741 pages
File Size : 49,5 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780898716443

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Numerical Methods in Scientific Computing: by Germund Dahlquist,Ake Bjorck Pdf

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.

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 52,6 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9789811204432

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Introduction To Numerical Computation, An (Second Edition) by Wen Shen Pdf

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Author : Cleve B. Moler
Publisher : SIAM
Page : 340 pages
File Size : 49,9 Mb
Release : 2010-08-12
Category : Computers
ISBN : 9780898716603

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Numerical Computing with MATLAB by Cleve B. Moler Pdf

A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Author : Michael L. Overton
Publisher : SIAM
Page : 105 pages
File Size : 41,9 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898715712

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Numerical Computing with IEEE Floating Point Arithmetic by Michael L. Overton Pdf

Mathematics of Computing -- Numerical Analysis.

Author : Charles W. Steele
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781468488579

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Numerical Computation of Electric and Magnetic Fields by Charles W. Steele Pdf

For well over a decade, the numerical approach to field computation has been gaining progressively greater importance. Analytical methods of field compu tation are, at best, unable to accommodate the very wide variety of configura tions in which fields must be computed. On the other hand, numerical methods can accommodate many practical configurations that analytical methods cannot. With the advent of high-speed digital computers, numerical field computations have finally become practical. However, in order to implement numerical methods of field computation, we need algorithms, numerical methods, and mathematical tools that are largely quite different from those that have been traditionally used with analytical methods. Many of these algorithms have, in fact, been presented in the large number of papers that have been published on this subject in the last two decades. And to some of those who are already experienced in the art of numerical field computations, these papers, in addition to their own original work, are enough to give them the knowledge that they need to perform practical numerical field computations.

Author : Robert Glassey
Publisher : Academic Press
Page : 292 pages
File Size : 41,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483266039

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Numerical Computation Using C by Robert Glassey Pdf

Numerical Computation Using C is a four-chapter text guide for learning C language from the numerical analysis viewpoint. C is a general-purpose language that has been used in systems programming. The first chapter discusses the basic principles, logic, operators, functions, arrays, and structures of C language. The next two chapters deal with the uses of the so-called pointers in the C language, which is a variable that contains the address of some object in memory. These chapters also elaborate on several constructs to show how the use of C language can be fine-tuned. The last chapter highlights the practical aspects of C language. This book will be of value to computer scientists and mathematicians.

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 49,8 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

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.

Author : G. Alefeld,R. Albrecht,R. Grigorieff
Publisher : Springer
Page : 244 pages
File Size : 40,8 Mb
Release : 1980-12-31
Category : Gardening
ISBN : UOM:39015000966534

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Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) by G. Alefeld,R. Albrecht,R. Grigorieff Pdf

This volume contains mainly a collection of the invited lectures which were given during a conference on "Fundamentals of Numerical Computation", held in June, 5 - 8, 1979, on the occasion of the centennial of the Technical University of Berlin. About hundred scientists from several countries attended this conference. A preceding meeting on "Fundamentals of Computer-Arithmetic" was held in August, 1975, at the "Mathematisches Forschungsinstitut Oberwolfach". The lectures of this conference have been published as Supplementum 1 of Computing (Editors R. Albrecht, U. Kulisch). After a period of four years of active research the purpose of the Berlin-Conference was to give a broad survey of the present status of the closely connected topics Interval Analysis, Mathematical Foundation of Computer Arithmetic, Rounding Error Analysis and Stability of Numerical Algorithms and to give prospects of future activities in these fields. Besides the invited lectures 35 short com­ munications, each of 20 minutes length, were given. We gratefully acknowledge the support of the President of the Technical University and of his Aussenreferat as well as of the Department of Mathematics. Besides these institutions financial support was given by AEG-Telefunken, Berlin, Allianz Lebensversicherungs A.G., Stuttgart, CDC, Hamburg/Berlin, DAT A 100, Munchen, Gesellschaft von Freunden der TU Berlin e.V., Berlin and Siemens AG., Berlin. Finally we express our thanks to Mrs. G. Froehlich and Mrs. B. Trajanovic, who managed the paper work before, during and after the conference.

Author : Peter Deuflhard,Andreas Hohmann
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215846

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Numerical Analysis in Modern Scientific Computing by Peter Deuflhard,Andreas Hohmann Pdf

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Author : Justin Solomon
Publisher : CRC Press
Page : 400 pages
File Size : 53,5 Mb
Release : 2015-06-24
Category : Computers
ISBN : 9781482251890

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Numerical Algorithms by Justin Solomon Pdf

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

Author : Larkin Ridgway Scott
Publisher : Princeton University Press
Page : 342 pages
File Size : 46,6 Mb
Release : 2011-04-18
Category : Mathematics
ISBN : 9781400838967

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Numerical Analysis by Larkin Ridgway Scott Pdf

Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin

Author : Lawrence F. Shampine,Richard C. Allen
Publisher : W.B. Saunders Company
Page : 278 pages
File Size : 46,8 Mb
Release : 1973
Category : Mathematics
ISBN : UOM:39015000966542

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Numerical Computing by Lawrence F. Shampine,Richard C. Allen Pdf