Ordinary Differential Equations and Linear Algebra

Author: Todd Kapitula

Publisher: Universities Press


1 Classification of Differential Equations

2 Models in One Dimension

3 Essential Linear Algebra

4 Essential Ordinary Differential Equations

5 Boundary Value Problems in Statics

6 Heat Flow and Diffusion

7 Waves

8 First-Order PDEs and the Method of Characteristics

9 Green’s Functions

10 Sturm–Liouville Eigenvalue Problems

11 Problems in Multiple Spatial Dimensions

12 More about Fourier Series

13 More about Finite Element Methods

Appendix A Proof of Theorem 3.47

Appendix B Shifting the Data in Two Dimensions



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