Chapter 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Preface xiii
4. Chapter 1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations 1
5. Chapter 2: Mathematical Modeling through Ordinary Differential Equations of the First Order 31
6. Chapter 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order 55
7. Chapter 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order 79
8. Chapter 5: Mathematical Modeling through Difference Equations 101
9. Chapter 6: Mathematical Modeling through Partial Differential Equations 129
10. Chapter 7: Mathematical Modeling through Graphs 157
11. Chapter 8: Mathematical Modeling through Functional, Integral, Delay-Differential, and Differential-Difference Equations 183
12. Chapter 9: Mathematical Modeling through Calculus of Variations and Dynamic Programming 209
13. Chapter 10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and Maximum-Entropy Principle 235
14. Appendix A: Mathematical Models Discussed in the Book 261
15. Appendix B: Supplementary Bibliography 265
16. Index 269