Ordinary Differential Equations and Linear Algebra
Author: Todd Kapitula
Publisher: Universities Press
Contents:
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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