The progarm of the last ¡­

The progarm of the last lectures:

• Maximum Principles for the explicit and implicit finite difference scheme (sections 6.2.3 & 6.2.4)
• Maximum Priniciple for the non linear heat equation (section 6.3)
• Harmonic Functions (section 6.4)
• Discrete Harmonic Functions (section 6.5)
• Poisson equation in 2D-space dimensions (sections 7.1 & 7.2)
• Divergence Theorem (section 7.3)
• Mean Value Property of the Harmonic Functions (section 7.4)

Exercises: 6.5, 6.6, 6.8, 6.9, 6.10, 6.12, 6.13, 7.1, 7.2, 7.4, 7.5, 7.7, 7.9, 7.17, 7.18.