Elliptic Differential Equations

1. Partial Differential Equations and Their Classification Into Types
Wolfgang Hackbusch

2. The Potential Equation
Wolfgang Hackbusch

3. The Poisson Equation
Wolfgang Hackbusch

4. Difference Methods for the Poisson Equation
Wolfgang Hackbusch

5. General Boundary-Value Problems
Wolfgang Hackbusch

6. Tools from Functional Analysis
Wolfgang Hackbusch

7. Variational Formulation
Wolfgang Hackbusch

8. The Finite-Element Method
Wolfgang Hackbusch

9. Regularity
Wolfgang Hackbusch

10. Special Differential Equations
Wolfgang Hackbusch

11. Elliptic Eigenvalue Problems
Wolfgang Hackbusch

12. Stokes Equations
Wolfgang Hackbusch

Keywords: Mathematics, Analysis, Numerical Analysis, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Theoretical, Mathematical and Computational Physics