Fundamentals Of Numerical Computation

Author : Tobin A. Driscoll,Richard J. Braun
Publisher : SIAM
Page : 583 pages
File Size : 47,7 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 : Tobin A Driscoll,Richard J. Braun
Publisher : SIAM
Page : 615 pages
File Size : 55,7 Mb
Release : 2022-08-24
Category : Mathematics
ISBN : 9781611977011

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

Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces 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. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.

Author : Parviz Moin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 40,9 Mb
Release : 2010-08-23
Category : Technology & Engineering
ISBN : 9781139489553

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Fundamentals of Engineering Numerical Analysis by Parviz Moin Pdf

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Author : G. Alefeld,R. Grigorieff
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783709185773

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

Author : Charles Hirsch
Publisher : Wiley
Page : 540 pages
File Size : 48,9 Mb
Release : 1991-01-08
Category : Technology & Engineering
ISBN : 0471923850

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Numerical Computation of Internal and External Flows, Volume 1 by Charles Hirsch Pdf

Numerical Computation of Internal and External Flows Volume 1: Fundamentals of Numerical Discretization C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This is the first of two volumes which together describe comprehensively the theory and practice of the numerical computation of internal and external flows. In this volume, the author explains the use of basic computational methods to solve problems in fluid dynamics, comparing these methods so that the reader can see which would be the most appropriate to use for a particular problem. The book is divided into four parts. In the first part, mathematical models are introduced. In the second part, the various numerical methods are described, while in the third and fourth parts the workings of these methods are investigated in some detail. Volume 2 will be concerned with the applications of numerical methods to flow problems, and together the two volumes will provide an excellent reference for practitioners and researchers working in computational fluid mechanics and dynamics.

Author : G. Alefeld,R. D. Grigorieff
Publisher : Springer
Page : 0 pages
File Size : 51,7 Mb
Release : 1980
Category : Numerical analysis
ISBN : 038781566X

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Fundamentals of Numerical Computation (computer-oriented Numerical Analysis) by G. Alefeld,R. D. Grigorieff Pdf

Author : Bertil Gustafsson
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 40,6 Mb
Release : 2011-06-11
Category : Mathematics
ISBN : 9783642194955

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Fundamentals of Scientific Computing by Bertil Gustafsson Pdf

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

Author : Radhey S. Gupta
Publisher : Cambridge University Press
Page : 777 pages
File Size : 47,5 Mb
Release : 2015-05-14
Category : Mathematics
ISBN : 9781107500495

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Elements of Numerical Analysis by Radhey S. Gupta Pdf

This textbook provides detailed discussion on fundamental concepts and applications of numerical analysis.

Author : Rajesh Kumar Gupta
Publisher : Cambridge University Press
Page : 829 pages
File Size : 40,6 Mb
Release : 2019-05-09
Category : Mathematics
ISBN : 9781108716000

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Numerical Methods by Rajesh Kumar Gupta Pdf

Offers a comprehensive textbook for a course in numerical methods, numerical analysis and numerical techniques for undergraduate engineering students.

Author : Christoph W. Ueberhuber
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 40,6 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 : Uri M. Ascher,Chen Greif
Publisher : SIAM
Page : 574 pages
File Size : 50,8 Mb
Release : 2011-07-14
Category : Mathematics
ISBN : 9780898719970

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A First Course in Numerical Methods by Uri M. Ascher,Chen Greif Pdf

Offers students a practical knowledge of modern techniques in scientific computing.

Author : Wen Shen
Publisher : World Scientific
Page : 339 pages
File Size : 47,8 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 : A. Iserles
Publisher : Cambridge University Press
Page : 481 pages
File Size : 53,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780521734905

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A First Course in the Numerical Analysis of Differential Equations by A. Iserles Pdf

lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

Author : L. F. Shampine,Richard C. Allen,S. Pruess
Publisher : Wiley-Interscience
Page : 302 pages
File Size : 46,5 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015037837922

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Fundamentals of Numerical Computing by L. F. Shampine,Richard C. Allen,S. Pruess Pdf

This is a practical text that develops the mathematics and computer implementation of the most important methods for basic computational tasks and then applies them to real problems, providing access to implementation as well as methodology. Computer codes are provided in FORTRAN, C, C++, and MATLAB. They are applied in example programs and to case studies of problems that are not routine. A solutions manual is provided for instructors. The total package thus eliminates the need for other supplementary materials.

Author : Michael L. Overton
Publisher : SIAM
Page : 105 pages
File Size : 49,6 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.