This book is a text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics. Prerequisites are a first course in the theory of ODEs and a survey course in numerical analysis, in addition to specific programming experience, preferably in MATLAB, and knowledge of elementary matrix theory. Professionals will also find that this useful concise reference contains reviews of technical issues and realistic and detailed examples. The programs for the examples are supplied on the accompanying web site and can serve as templates for solving other problems. Each chapter begins with a discussion of the "facts of life" for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understaning the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
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Editorial Reviews
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"The authors provide an excellent treatment of the fundamentals for solving ODEs using MATLAB. Their vast experience from research, the solution of real problems, and the teaching of this material is evident throughout the book." Mathematical Reviews
"...a very useful book to those who are looking to expand their MATLAB experience." Amanda Bligh, Product Design Engineer, Hasbor, Inc.
"...a very useful book to those who are looking to expand their MATLAB experience." Amanda Bligh, Product Design Engineer, Hasbor, Inc.
Book Description
This concise text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses, but Solving ODEs with MATLAB provides a sound treatment of all three in fewer than 300 pages. Prerequisites are a first course in the theory of ODEs and a survey course in numerical analysis, specifically some programming experience, preferably in Matlab, and some elementary matrix theory.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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delay differential equations, symbolic toolbox, function deval, nonseparated boundary conditions, default error tolerances, analytical partial derivatives, absolute error control, general scientific computing, absolute error tolerance, constant guesses, natural continuous extension, estimated local error, relative error tolerance, local extrapolation, solver ode, nonstiff problems, local truncation error, unit roundoff, field sol, many solvers, solver calls, most solvers, program chi, quadrature problems, constant step size Key Phrases - Capitalized Phrases (CAPs): (learn more)
Initial Value Problems, Boundary Value Problems, Getting Started, Control of the Error Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
delay differential equations, symbolic toolbox, function deval, nonseparated boundary conditions, default error tolerances, analytical partial derivatives, absolute error control, general scientific computing, absolute error tolerance, constant guesses, natural continuous extension, estimated local error, relative error tolerance, local extrapolation, solver ode, nonstiff problems, local truncation error, unit roundoff, field sol, many solvers, solver calls, most solvers, program chi, quadrature problems, constant step size Key Phrases - Capitalized Phrases (CAPs): (learn more)
Initial Value Problems, Boundary Value Problems, Getting Started, Control of the Error Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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2
books
cite this book:
- MATLAB Guide by Desmond J. Higham in Back Matter
- MATLAB 7: Eine Einführung (German Edition) by Christoph W. Überhuber in Back Matter
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