SYLLABUS FOR FINAL EXAM: Heat ¡­

SYLLABUS FOR FINAL EXAM:

Heat equation: Solution by Fourier method, energy estimates and Maximum principles, Chapters 3.1 to 3.7, 6.2

Numerical methods for the Heat equation: Explicit and implicit finite difference schemes. Stability by Von-Neumann analysis and discrete maximum principles, Chapter 4.1,4.3,4,4,6.2.

Wave equation: Solution by Fourier Method, Energy estimates, Finite difference schemes, Numerical stability by Von-Neumann Analysis. Chapter 5.

SPECIAL Group lesson on 29th May, Friday: Review of the syllabus, solutions of previous years' question papers.