Numerical Simulation of Dynamic Systems

Homework #5: Milne Integration; Nordsieck Vector

• 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 [H4.2]
• Matlab program [H4.4]
• 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 two Nyström-Milne predictor-corrector solvers and the classical Milne integrator
• 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
• Matlab function (damp) that computes the numerical damping of a multi-step method

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