Numerical Computing With Matlab
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Numerical Computing With Matlab
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Author : Cleve B. Moler
language : en
Publisher: SIAM
Release Date : 2010-08-12
Numerical Computing With Matlab written by Cleve B. Moler and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Computers categories.
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
Introduction To Numerical Analysis Using Matlab
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Author : Butt
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009-02-17
Introduction To Numerical Analysis Using Matlab written by Butt and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-17 with Computers categories.
Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.
Scientific Computing With Matlab And Octave
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Author : Alfio Quarteroni
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-30
Scientific Computing With Matlab And Octave written by Alfio Quarteroni 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 2010-05-30 with Mathematics categories.
Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.
Introduction To Numerical Computation An Second Edition
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Author : Wen Shen
language : en
Publisher: World Scientific
Release Date : 2019-08-28
Introduction To Numerical Computation An Second Edition written by Wen Shen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Mathematics categories.
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.
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.
Introduction To Numerical Computation
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Author : Lars Eldén
language : en
Publisher: Professional Pub Service
Release Date : 2004-01-01
Introduction To Numerical Computation written by Lars Eldén and has been published by Professional Pub Service this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Computers categories.
This book is a translation and revision of an earlier textbook in Swedish by the first two authors. It is intended as a textbook for an introductory course in scientific computation at an advanced undergraduate level. In a modern programming environment such as MATLAB it is possible by means of simple commands to perform advanced calculations on a personal computer. In order to use such a powerful tool efficiently it is necessary to have a good knowledge of numerical methods and algorithms and to know about their properties. The book describes and analyses numerical methods for error analysis, differentiation, integration, interpolation and approximation, and the solution of non-linear equations, linear systems of algebraic equations and systems of ordinary differential equations. Principles and algorithms are illustrated by examples in MATLAB. At the end of each chapter questions on theory and computer exercises are given. Some of the MATLAB codes and supplementary material are available from the books web page.
A Gentle Introduction To Scientific Computing
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Author : Dan Stanescu
language : en
Publisher: CRC Press
Release Date : 2022-05-01
A Gentle Introduction To Scientific Computing written by Dan Stanescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-01 with Mathematics categories.
Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics. Nonetheless, its interdisciplinary character cannot be denied: its methodologies are increasingly used in a wide variety of branches of science and engineering. A Gentle Introduction to Scientific Computing intends to serve a very broad audience of college students across a variety of disciplines. It aims to expose its readers to some of the basic tools and techniques used in computational science, with a view to helping them understand what happens "behind the scenes" when simple tools such as solving equations, plotting and interpolation are used. To make the book as practical as possible, the authors explore their subject both from a theoretical, mathematical perspective and from an implementation-driven, programming perspective. Features Middle-ground approach between theory and implementation. Suitable reading for a broad range of students in STEM disciplines. Could be used as the primary text for a first course in scientific computing. Introduces mathematics majors, without any prior computer science exposure, to numerical methods. All mathematical knowledge needed beyond Calculus (together with the most widely used Calculus notation and concepts) is introduced in the text to make it self-contained.
Numerical Analysis And Scientific Computation
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Author : Jeffery J. Leader
language : en
Publisher: CRC Press
Release Date : 2022-05-11
Numerical Analysis And Scientific Computation written by Jeffery J. Leader and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-11 with Mathematics categories.
This is an introductory single-term numerical analysis text with a modern scientific computing flavor. It offers an immediate immersion in numerical methods featuring an up-to-date approach to computational matrix algebra and an emphasis on methods used in actual software packages, always highlighting how hardware concerns can impact the choice of algorithm. It fills the need for a text that is mathematical enough for a numerical analysis course yet applied enough for students of science and engineering taking it with practical need in mind. The standard methods of numerical analysis are rigorously derived with results stated carefully and many proven. But while this is the focus, topics such as parallel implementations, the Basic Linear Algebra Subroutines, halfto quadruple-precision computing, and other practical matters are frequently discussed as well. Prior computing experience is not assumed. Optional MATLAB subsections for each section provide a comprehensive self-taught tutorial and also allow students to engage in numerical experiments with the methods they have just read about. The text may also be used with other computing environments. This new edition offers a complete and thorough update. Parallel approaches, emerging hardware capabilities, computational modeling, and data science are given greater weight.
Numerical Geometry Grid Generation And Scientific Computing
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Author : Vladimir A. Garanzha
language : en
Publisher: Springer Nature
Release Date : 2019-10-10
Numerical Geometry Grid Generation And Scientific Computing written by Vladimir A. Garanzha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-10 with Mathematics categories.
The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Voronoi diagrams and their applications, celebrating the 150th birthday of G.F. Voronoi. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.
Numerical Methods For Scientific Computing
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Author : Kyle Novak
language : en
Publisher: Equal Share Press
Release Date : 2022-03-13
Numerical Methods For Scientific Computing written by Kyle Novak and has been published by Equal Share Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-13 with Mathematics categories.
A comprehensive guide to the theory, intuition, and application of numerical methods in linear algebra, analysis, and differential equations. With extensive commentary and code for three essential scientific computing languages: Julia, Python, and Matlab.