Numerical Methods with MATLAB

Implementations and Applications

Author: Gerald W. Recktenwald

Publisher: Pearson College Division

ISBN: N.A

Category: Computers

Page: 786

View: 9553

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This thorough, modern exposition of classic numerical methods using MATLAB briefly develops the fundamental theory of each method. Rather than providing a detailed numerical analysis, the behavior of the methods is exposed by carefully designed numerical experiments. The methods are then exercised on several nontrivial example problems from engineering practice. This structured, concise, and efficient book contains a large number of examples of two basic types—One type of example demonstrates a principle or numerical method in the simplest possible terms. Another type of example demonstrates how a particular method can be used to solve a more complex practical problem. The material in each chapter is organized as a progression from the simple to the complex. Contains an extensive reference to using MATLAB. This includes interactive (command line) use of MATLAB, MATLAB programming, plotting, file input and output. For a practical and rigorous introduction to the fundamentals of numerical computation.
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The Theory and Practice of Educational Administration

Author: J. C. S. Musaazi

Publisher: Macmillan Nigeria Publishers, Limited

ISBN: N.A

Category: Administration scolaire - Nigeria

Page: 274

View: 8960

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Cet ouvrage porte sur les organismes éducationnels, le pouvoir, et l'autorité dans les écoles, les aspects théoriques et pratiques de la planification de l'éducation, le système éducatif nigerian, le personnel le financement de l'éducation, l'école et la communauté.
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Simulation of Dynamic Systems with MATLAB and Simulink

Author: Harold Klee

Publisher: CRC Press

ISBN: 1420044192

Category: Technology & Engineering

Page: 784

View: 2823

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Simulation is increasingly important for students in a wide variety of fields, from engineering and physical sciences to medicine, biology, economics, and applied mathematics. Current trends point toward interdisciplinary courses in simulation intended for all students regardless of their major, but most textbooks are subject-specific and consequently are not suitable for such a course. Simulation of Dynamic Systems with MATLAB® and Simulink® offers a unified introduction to continuous simulation that focuses on the common principles underlying the vast array of simulation models that describe very different phenomena. Written by accomplished expert Harold Klee, this text builds an in-depth and intuitive understanding of the basic concepts and mathematical tools that students can easily generalize to their own field of study. The author includes case studies, real-world examples, abundant homework problems, and thousands of equations to develop a practical understanding of the concepts. Moreover, he incorporates MATLAB® and Simulink® tools to help students gain experience with designing, implementing, and adjusting their simulations. This classroom-tested text works systematically through linear, continuous-time, and discrete-time dynamic systems as well as basic, intermediate, and advanced topics in numerical integration. Supplying downloadable MATLAB M-files and Simulink model files, Simulation of Dynamic Systems with MATLAB® and Simulink® is ideal for a one- or two-semester course in continuous simulation, offering valuable flexibility for instructors.
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Numerical Methods for Structured Matrices and Applications

The Georg Heinig Memorial Volume

Author: Dario Andrea Bini,Volker Mehrmann,Vadim Olshevsky,Eugene Tyrtsyhnikov,Marc van Barel

Publisher: Springer Science & Business Media

ISBN: 9783764389963

Category: Mathematics

Page: 439

View: 9056

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This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.
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Numerical Methods and Applications

6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, Revised Papers

Author: Todor Boyanov,Stefka Dimova,Krassimir Georgiev,Geno Nikolov

Publisher: Springer Science & Business Media

ISBN: 3540709401

Category: Computers

Page: 728

View: 1952

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This book constitutes the thoroughly refereed post-proceedings of NMA 2006 held in Borovets, Bulgaria. Coverage in the 84 revised full papers includes numerical methods for hyperbolic problems, robust preconditioning solution methods, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, and large-scale computations in environmental modeling.
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Applied Numerical Methods Using MATLAB

Author: Won Y. Yang,Wenwu Cao,Tae-Sang Chung,John Morris

Publisher: John Wiley & Sons

ISBN: 0471705187

Category: Mathematics

Page: 400

View: 3986

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In recent years, with the introduction of new media products, therehas been a shift in the use of programming languages from FORTRANor C to MATLAB for implementing numerical methods. This book makesuse of the powerful MATLAB software to avoid complex derivations,and to teach the fundamental concepts using the software to solvepractical problems. Over the years, many textbooks have beenwritten on the subject of numerical methods. Based on their courseexperience, the authors use a more practical approach and linkevery method to real engineering and/or science problems. The mainbenefit is that engineers don't have to know the mathematicaltheory in order to apply the numerical methods for solving theirreal-life problems. An Instructor's Manual presenting detailed solutions to all theproblems in the book is available online.
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Numerical Methods for Chemical Engineering

Applications in MATLAB

Author: Kenneth J Beers,Kenneth J. Beers

Publisher: Cambridge University Press

ISBN: 9780521859714

Category: Juvenile Nonfiction

Page: 474

View: 5028

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Applications of numerical mathematics and scientific computing to chemical engineering.
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Numerical Methods

Design, Analysis, and Computer Implementation of Algorithms

Author: Anne Greenbaum,Timothy P. Chartier

Publisher: Princeton University Press

ISBN: 0691151229

Category: Computers

Page: 454

View: 8354

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Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. 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. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online
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Stability of Linear Delay Differential Equations

A Numerical Approach with MATLAB

Author: Dimitri Breda,Stefano Maset,Rossana Vermiglio

Publisher: Springer

ISBN: 149392107X

Category: Science

Page: 158

View: 3374

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This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.
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Numerical Analysis with Applications in Mechanics and Engineering

Author: Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea

Publisher: John Wiley & Sons

ISBN: 1118614623

Category: Computers

Page: 646

View: 7816

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A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.
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