In Today's lecture: I described ¡­

In Today's lecture: I described implicit schemes for the heat equation and proved that the scheme is unconditionally Von-Neumann stable.

SPECIAL GROUP LESSON THIS FRIDAY: I will revise the syllabus for the mid-term exam this friday and answer questions.

Syllabus for Mid-term Exam: ODEs and Numerical methods for ODE (1.2, 1.3), Solving first-order PDEs by method of characteristics (1.4.1, 1.4.2), Poisson's equation -- Green's function, Numerical schemes (2.1, 2.2, 2.3.4, 2.3.5), Heat equation -- Solution by Fourier series (3.1 to 3.6), Energy methods (3.7), Maximum principles (6.2.1,6.2.2)

Previous question papers: v07 midterm: folk.uio.no/siddharm/INF-MAT3360v07mtENG.pdf v08 midterm: folk.uio.no/siddharm/INF-MAT3360v08mtENG.pdf v07 final : folk.uio.no/siddharm/INF-MAT3360v07finalENG.pdf v08 final : folk.uio.no/siddharm/INF-MAT3360v08finalENG.pdf