Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
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Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Stanoyevitch, Alexander
John Wiley & Sons Inc
02/2005
832
Dura
Inglês
9780471697381
15 a 20 dias
1376
Descrição não disponível.
Preface. PART I: INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor's Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB's Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
References.
MATLAB Command Index.
General Index.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor's Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB's Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
References.
MATLAB Command Index.
General Index.
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Preface. PART I: INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor's Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB's Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
References.
MATLAB Command Index.
General Index.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor's Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB's Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
References.
MATLAB Command Index.
General Index.
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