Lecturer Prof. H.G. Matties, PhD
Assistant Abul K.M. Fahimuddin
Schedule Lecture: Mi 9:45-11:15 o'clock in room RZ 012 (Computing Center)
Exercises: Fri 15:45-16:30 o'clock in room RZ 012 (Computing Center)
Start First week of the semester
Prerequisites Basic courses up to the intermediate diploma
Target group Students of computer science, mathematics, natural or engineering sciences or guest students in their advanced study period, CSE students
Certificates Homework assignments and active participation in the exercises, tests, grading scheme
Office hours will be announced in the lecture
A preliminary and rough script to the lecture is available here: PDF, PS
Further literature will be announced in the lecture.
ODEs and Stiffness : assign1.pdf, eulerforward.m
Lipschitz-condition, BDF methods, L-Stability : assign2.pdf, odePerformance.m, lobattoIIIB.nb
Non-linear stability of implicit RK-methods : assign3.pdf
Stage order of RK-methods, Introduction to DAEs : assign4.pdf, gauss_2stage_rk.m, usage.m
Differential Algebraic Equations (DAEs) : assign5.pdf
ODEs on Manifolds : assign6.pdf
Homotopy methods & 2nd order ODEs: assign7.pdf
Newmark method for 2nd order ODEs: assign8.pdf
Time reversibility & ODEs with conserved quantities: assign9.pdf
Lyapunov function & stability of nonlinear systems: assign10.pdf
Parallelisation in the solution of ODEs & Picard's iteration method: assign11.pdf
Test 1 : ode2_test1.pdf
Test 2 : ode2_test2.pdf