Numerical Simulation of Dynamic Systems

Homework Problems

1. Discretization of state equations; time reversal
   Discussion: Tuesday, February 26, 2013
   Due date: Tuesday, March 5, 2013

2. Marginal stability; stability domain
   Discussion: Tuesday, March 5, 2013
   Due date: Tuesday, March 12, 2013

3. Method blending; Runge-Kutta; backinterpolation
   Discussion: Tuesday, March 12, 2013
   Due date: Tuesday, March 19, 2013

4. Step-size control; order star
   Discussion: Tuesday, March 19, 2013
   Due date: Tuesday, March 26, 2013

5. Milne integration; Nordsieck vector
   Discussion: Tuesday, March 26, 2013
   Due date: Tuesday, April 9, 2013

6. GE4/AB3 algorithm; Houbolt algorithm
   Discussion: Tuesday, April 9, 2013
   Due date: Tuesday, April 16, 2013

7. Nordsieck interpolation; simulation of parabolic PDEs
   Discussion: Tuesday, April 16, 2013
   Due date: Tuesday, April 23, 2013

8. Artillery method, invariant embedding, simulation of hyperbolic PDEs, upwind discretization
   Discussion: Tuesday, April 23, 2013
   Due date: Tuesday, April 30, 2013

9. Causalization of DAEs, symbolic index reduction
   Discussion: Tuesday, April 30, 2013
   Due date: Tuesday, May 7, 2013

10. Inline integration, Radau IIA(3) algorithm, over-determined DAEs
    Discussion: Tuesday, May 7, 2013
    Due date: Tuesday, May 14, 2013

11. Runge-Kutta-Fehlberg algorithm with Gustaffsson step-size control and root solver, thyristor model
    Discussion: Tuesday, May 14, 2013
    Due date: Tuesday, May 28, 2013

12. Variable structure systems, leaky diode, mixed-mode integration
    Discussion: Tuesday, May 21, 2013
    Due date: Tuesday, May 28, 2013

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