Numerical Simulation of Dynamic Systems

Homework #4: Step-size Control; Order Star

• 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 [H3.15]
• Matlab program [H3.15] - diary file
• Matlab function to perform one step of non-linear BI4/5(theta) with Gustafsson step-size control
• Matlab function to perform one step of non-linear Runge-Kutta-Fehlberg (RKF4/5)
• Matlab function to compute the Hessian matrix of the BI4/5 method
• Matlab function to compute the Jacobian matrix of the system
• Matlab function to compute the state derivatives
• Matlab program [H3.19a] (damping order star)
• Matlab program [H3.19a] - diary file
• Matlab function to compute the damping of a roster point
• Matlab function to compute the F-matrix of the BI4/5 method
• Matlab function to compute the poles and zeros of the BI4/5 method
• Matlab program [H3.19b] (frequency order star)
• Matlab function to compute the oscillation frequency of a roster point
• Matlab program [H3.19c] (order star accuracy domain)

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