Beskjeder

URGENT: The list of students whose obligatory exercise set 2 has been approved can be seen from

http://folk.uio.no/ulriksf/INF-MAT3360/oblig2/godkjentliste.pdf

Corrected exercise sets can be found at the IFI office. THOSE WHOSE EXERCISES HAVE NOT BEEN APPROVED SHOULD CONTACT THE GROUP TEACHER IMMEDIATELY. THE REVISED VERSION HAS TO BE SUBMITTED BY 30TH OF MAY. (edit)

URGENT: The list of students whose obligatory exercise set 2 has been approved can be seen from

http://folk.uio.no/ulriksf/INF-MAT3360/oblig2/godkjentliste.pdf

THOSE WHOSE EXERCISES HAVE NOT BEEN APPROVED SHOULD CONTACT THE GROUP IMMEDIATELY. THE REVISED VERSION HAS TO BE SUBMITTED BY 30TH OF MAY.

Today, i completed the study of numerical schemes for the wave equation. This was the last part of the course.

Next lecture, i will provide a complete review of the course with emphasis on the final exam.

The syllabus for the final exam is chapters 4, 5 and 6.2 from the book.

This thursday, i will continue with numerical schemes for the wave equation and show von-neumann stability of the scheme.

For group lesson this friday, prepare exercises 5.8, 5.9 and 5.11

Second obligatory exercise set can be downloaded from folk.uio.no/siddharm/oblig2.pdf

The completed exercise should be handed over by 21st of May.

For group lesson this friday, prepare example 1.4, and exercises 1.8, 1.9 and 6.5, 6.7

Approved obligatory exercise list is available at

http://folk.uio.no/ulriksf/INF-MAT3360/oblig1/godkjentliste.pdf

For those whose exercises have not been approved - please contact Ulrik to find out what is to be done regarding them...

Today, i proved stability for both explicit and implicit numerical schemes for heat equation and obtained explicit solutions for the initial value problem for the wave equation.

Next lecture, i will use the Fourier method to obtain explicit solutions of the IBVP for wave equation and describe numerical schemes for it.

For group lesson tomorrow, prepare exercises 4.12, 4.13, 4.15, 4,18 b and c, and 4.20.

For the group lesson this friday, prepare exercises 4.5, 4.6, 4.8, 4.9 and 4.10

Today, i continued describing numerical schemes for the heat equation and derived stability. Next lecture, i will introduce Von-Neumann stability analysis for both explicit and implicit schemes.

Midterm exam results are available. Contact Mozhdeh Herat at IFI office for them.

I will cover numerical methods for heat equation and introduce Von-Neumann analysis in the lecture tomorrow.

For the group lessons on friday, he will solve the midterm exam and clarify questions about the obligatory exercise.

The question paper links are

folk.uio.no/siddharm/v07_mt.pdf

folk.uio.no/siddharm/v07_f.pdf

Last year's midterm exam and final exam question papers can be downloaded from folk.uio.no/siddharm/v07mt.pdf and folk.uio.no/siddharm/v07f.pdf

No group lesson today. In next lecture, i will continue with numerical schemes for heat equation.

Next lecture on 27-03-2008 is a special lecture where i will review the portion for the midterm exam.

There were some small errors in the obligatory questions. The new version can be downloaded from

folk.uio.no/siddharm/Oblig1.pdf

In the last lecture, i derived formulas for the heat equation with Neumann boundary conditions using the Fourier method and proved stability and uniqueness using the energy method.

In the next lecture, i will cover maximum principles for heat equation and start with finite difference schemes for them.

For next group lesson, prepare exercises 3.15. 3.16, 3.16, 3.18 and 3.20.

First obligatory exercise set can be downloaded from

folk.uio.no/siddharm/Oblig11.pdf

The due date for this set is by the 10th of April.

In the last lecture, i derived solutions to the Heat equation with Dirichlet boundary conditions using Fourier method. Next lecture, i will derive solutions of the heat equation with Neumann boundary conditions and obtain energy estimates and maximum principles..

For the next group lesson, prepare exercises 3.1, 3.4, 3.8, 3.11, 3.12 and 3.13..

In the last lecture, i proved convergence for the finite difference scheme for the Laplace's equation, solved both the continuous and discrete eigenvalue problems and proved the maximum principle for two point BVPs.

In the next lecture, i will start with the heat equation and construct solutions based on separation of variables.

Solve exercises 2.24, 2.25, 2.26, 6.2, 6.3 and 6.4 for the group lesson next friday

For group lesson this friday, prepare exercises 2.11, 2.12, 2.15, 2.16 and 2.17.

In the last class, i described a finite difference scheme to approximate the two point BVP and derived some of its properties. In the next lecture, i will prove that this scheme converges and describe the eigenvalue problem for the Laplace equation.

For group lesson this friday, prepare exercises 2.1 to 2.8

slides of the first lecture can be downloaded from folk.uio.no/siddharm/lecture1.pdf

Solutions to exercises discussed in group lessons can be downloaded from http://folk.uio.no/ulriksf/INF-MAT3360/

Today, i covered Green's function representation of the solutions of the two point boundary value problem and showed smoothness of solutions, stability and uniqueness.

Next lecture, i will describe finite difference schemes for this equation and show that they converge to the solution.