Format:
Online Ressource
Edition:
3. ed.
Edition:
Online-Ausg.
ISBN:
9780123869883
,
0123869889
,
9781280878763
,
0123869420
,
1280878762
,
9780123869425
Content:
An introduction to Matlab -- Linear equations and eigensystems -- Solution of nonlinear equations -- Differentiation and integration -- Solution of differential equations -- Boundary value problems -- Fitting functions to data -- Optimization methods -- Applications of the symbolic toolbox
Content:
Numerical Methods using MATLAB, 3rd edition is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB for a graphical interpretation to help researchers analyze a particular outcome. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems which have applications in the biosciences, chaos, optimization, engineering and science across the board. Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB, to help researchers analyze a particular outcome. Many worked examples are given, together with exercises and solutions, to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization, engineering and science. Over 500 numerical algorithms, their fundamental principles, and applicationsGraphs are used extensively to clarify the complexity of problemsIncludes coded genetic algorithmsIncludes the Lagrange multiplier methodUser-friendly and written in a conversational style
Note:
With bibliographical references and index
,
Front Cover; Numerical Methods Using Matlab®; Copyright; Dedication; Table of Contents; Preface; List of Figures; 1 An Introduction to Matlab®; 1.1 The Matlab Software Package; 1.2 Matrices and Matrix Operations in Matlab; 1.3 Manipulating the Elements of a Matrix; 1.4 Transposing Matrices; 1.5 Special Matrices; 1.6 Generating Matrices and Vectors with Specified Element Values; 1.7 Matrix Functions; 1.8 Using the Matlab \ Operator for Matrix Division; 1.9 Element-by-Element Operations; 1.10 Scalar Operations and Functions; 1.11 String Variables; 1.12 Input and Output in Matlab
,
1.13 Matlab Graphics1.14 Three-Dimensional Graphics; 1.15 Manipulating Graphics-Handle Graphics; 1.16 Scripting in Matlab; 1.17 User-Defined Functions in Matlab; 1.18 Data Structures in Matlab; 1.19 Editing Matlab Scripts; 1.20 Some Pitfalls in Matlab; 1.21 Faster Calculations in Matlab; Problems; 2 Linear Equations and Eigensystems; 2.1 Introduction; 2.2 Linear Equation Systems; 2.3 Operators \ and
,
2.8 Cholesky Decomposition2.9 QR Decomposition; 2.10 Singular Value Decomposition; 2.11 The Pseudo-Inverse; 2.12 Over- and Underdetermined Systems; 2.13 Iterative Methods; 2.14 Sparse Matrices; 2.15 The Eigenvalue Problem; 2.16 Iterative Methods for Solving the Eigenvalue Problem; 2.17 The Matlab Function eig; 2.18 Summary; Problems; 3 Solution of Nonlinear Equations; 3.1 Introduction; 3.2 The Nature of Solutions to Nonlinear Equations; 3.3 The Bisection Algorithm; 3.4 Iterative or Fixed Point Methods; 3.5 The Convergence of Iterative Methods; 3.6 Ranges for Convergence and Chaotic Behavior
,
3.7 Newton's Method3.8 Schroder's Method; 3.9 Numerical Problems; 3.10 The Matlab Function fzero and Comparative Studies; 3.11 Methods for Finding All the Roots of a Polynomial; 3.11.1 Bairstow's Method; 3.11.2 Laguerre's Method; 3.12 Solving Systems of Nonlinear Equations; 3.13 Broyden's Method for Solving Nonlinear Equations; 3.14 Comparing the Newton and Broyden Methods; 3.15 Summary; Problems; 4 Differentiation and Integration; 4.1 Introduction; 4.2 Numerical Differentiation; 4.3 Numerical Integration; 4.4 Simpson's Rule; 4.5 Newton-Cotes Formulae; 4.6 Romberg Integration
,
4.7 Gaussian Integration4.8 Infinite Ranges of Integration; 4.8.1 Gauss-Laguerre Formula; 4.8.2 Gauss-Hermite Formula; 4.9 Gauss-Chebyshev Formula; 4.10 Gauss-Lobatto Integration; 4.11 Filon's Sine and Cosine Formulae; 4.12 Problems in the Evaluation of Integrals; 4.13 Test Integrals; 4.14 Repeated Integrals; 4.14.1 Simpson's Rule for Repeated Integrals; 4.14.2 Gaussian Integration for Repeated Integrals; 4.15 Matlab Functions for Double and Triple Integration; 4.16 Summary; Problems; 5 Solution of Differential Equations; 5.1 Introduction; 5.2 Euler's Method; 5.3 The Problem of Stability
,
5.4 The Trapezoidal Method
,
Numerical Methods using MATLAB, 3rd edition is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB for a graphical interpretation to help researchers analyze a particular outcome. Many worked examples are given together with exercises and solutions to illustrate how numerical methods can be used to study problems which have applications in the biosciences, chaos, optimization, engineering and science across the board. Numerical Methods using MATLAB, 3e, is an extensive reference offering hundreds of useful and important numerical algorithms that can be implemented into MATLAB, to help researchers analyze a particular outcome. Many worked examples are given, together with exercises and solutions, to illustrate how numerical methods can be used to study problems that have applications in the biosciences, chaos, optimization, engineering and science. Over 500 numerical algorithms, their fundamental principles, and applicationsGraphs are used extensively to clarify the complexity of problemsIncludes coded genetic algorithmsIncludes the Lagrange multiplier methodUser-friendly and written in a conversational style
Additional Edition:
ISBN 9780123869425
Additional Edition:
Erscheint auch als Druck-Ausgabe Lindfield, George R. Numerical methods Waltham, Mass. [u.a.] : Academic Press, 2012 ISBN 9780123869425
Language:
English
Subjects:
Computer Science
Keywords:
Algebra
;
Infinitesimalrechnung
;
Differentialgleichung
;
Optimierung
;
Numerisches Verfahren
;
Algebra
;
Infinitesimalrechnung
;
Differentialgleichung
;
Optimierung
;
Numerisches Verfahren
;
Numerische Mathematik
;
Algorithmus
;
MATLAB
;
Electronic books
;
Electronic books
;
Lehrbuch
URL:
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