Numerical Simulation of Dynamic Systems

Homework #2: Marginal Stability; Stability Domain

• Problem statement original (Beamer)
• Problem statement for viewing, one slide per page (PDF)
• Problem statement for printing, four slides per page (PDF)

• Solution original (Beamer)
• Solution for viewing, one slide per page (PDF)
• Solution for printing, four slides per page (PDF)
• Matlab program [H2.1] - source code
• Matlab program [H2.1] - diary file
• Matlab program [H2.5] - source code
• Matlab program [H2.5] - diary file
• Matlab function (aa) that computes a Matrix with two conjugate complex eigenvalues on the unit circle
• Matlab function (ff) that computes the corresponding F matrix for the five ODE solvers
• Matlab function (hh) that computes the largest (marginally) stable step size as a function of alpha
• Matlab function (stabdom) that computes the stability domain by sweeping over a range of different angles

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