ode23tb (stiff/TR-BDF2)

An implementation of TR-BDF2, an implicit Runge-Kutta formula with a first stage that is a trapezoidal rule step and a second stage that is a backward differentiation formula of order 2. Like ode23s, this solver may be more efficient than ode15s at crude tolerances.

Stiff problems, low accuracy. Use for large error tolerances with stiff systems.

Applicable Solver settings|

• Absolute tolerance
• Relative tolerance
• Initial step size
• Max step size
• Min step size
• Refine
• Limit data points to last
• Norm Control
• Allowed step size violations
• Enable saturation
• LU decomposition matrix format

• Shampine, L. F. and M. E. Hosea, “Analysis and Implementation of TR-BDF2,” Applied Numerical Mathematics 20, 1996.
• Bank, R. E., W. C. Coughran, Jr., W. Fichtner, E. Grosse, D. Rose, and R.Smith, “Transient Simulation of Silicon Devices and Circuits,” IEEE Trans. CAD, 4 (1985), pp 436-451.