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Ordinary Differential Equations Using Matlab

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eBay item number:226706501035
Last updated on Aug 22, 2025 14:18:51 EDTView all revisionsView all revisions

Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Release Year
1999
Book Title
Ordinary Differential Equations Using Matlab
ISBN
9780130113818

About this product

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0130113816
ISBN-13
9780130113818
eBay Product ID (ePID)
460722

Product Key Features

Number of Pages
320 Pages
Publication Name
Ordinary Differential Equations Using Matlab
Language
English
Subject
Differential Equations / General, Mathematical & Statistical Software
Publication Year
1999
Type
Textbook
Subject Area
Mathematics, Computers
Author
David Arnold, John C. Polkinghorne
Format
Other

Dimensions

Item Weight
18.3 Oz
Item Length
11 in
Item Width
8.7 in

Additional Product Features

Edition Number
2
Intended Audience
College Audience
LCCN
99-462614
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515/.352/0285
Table Of Content
Preface. 1. Introduction to Matlab. Numerical Expressions. Mathematical Functions. Output Format. Complex Arithmetic. Recording Your Work. Exercises. 2. Introduction to DFIELD5. Starting DFIELD5. Initial Value Problems. Existence and Uniqueness. Qualitative Analysis. Zooming and Stopping. Using MATLAB While DFIELD5 is Open. Changing the Size and Appearance of the Display Window. Personalizing the Display Window. Printing, Quitting, and Using Clipboards. Exercises. 3. Vectors, Matrices, and Array Operations. Matrices in MATLAB. Addition, Subtraction, and Scalar Multiplication. Vectors in MATLAB. Linear Combinations of Vectors. Matrix Multiplication. Array Operations. Plotting in MATLAB. Printing Your Plot. Simple Function M-files. Exercises. 4. Numerical Methods for ODEs. Euler's Method. Euler's Method Versus the Exact Solution. Changing the Step Size---Script Files. Further Error Analysis. The Second Order Runge-Kutta Method. The Fourth Order Runge-Kutta Method. Comparing Euler, RK2, and RK4. MATLAB'S ODE45 Routine. Exercises. Appendix: M-files for Numerical Methods. 5. Advanced Use of DFIELD5. Step Functions. Step Functions in DFIELD5. Using Function M-files in DFIELD5. Solvers and Solver Settings in DFIELD5. Exercises. Appendix: SQW.M. 6. Introduction to PPLANE5. Starting PPLANE5. Changing the Differential System---Using the PPLANE5 Setup Window. Plotting Solution Curves. Personalizing the Display Window. Saving Systems and Galleries. Exercises. 7. Solving ODEs in MATLAB. MATLAB'S ODE Suite. Single First Order Differential Equations. Systems of First Order Equations. Second Order Differential Equations. The Lorenz System. Improving Accuracy. Kinky Plots. Behavior Near Discontinuities. Stiff Equations. Other Possibilities. Exercises. Student Projects. 8. The Symbolic Toolbox. Symbolic Objects. The Default Symbolic Variable. Verifying Solutions to Differential Equations. Solving Ordinary Differential Equations. Solving Systems of Ordinary Differential Equations. Interpreting the Output of DSOLVE. The Solve command. Exercises. 9. Linear Algebra Using MATLAB. Systems of Linear Equations. Matrix Indexing in MATLAB and Row Operations. The Rational Format. Solving Linear Equations. Determined Systems of Equations. The Determinant and Systems. The Nullspace of a Matrix. Linear Dependence and Independence. The Nullspace and Dependence. Exercises. 10. Homogeneous Linear Systems of ODEs. Eigenvalues Using MATLAB. Eigenvectors Using MATLAB. MATLAB's EIG command. Tying It Together---Solving Systems. Complex Eigenvalues. The Exponential Matrix. Repeated Eigenvalues. Exercises. 11. Advanced Use of PPLANE5. Nullclines. Equilibrium Points. Linear Systems. Separatices. Improving Accuracy. A Summary of Equilibrium Point Messages. Exercises. Index..
LC Classification Number
QA371.5.D37P65 1999

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