TR-BDF2

Implicit multistep solver implementation of TR-BDF2, which is 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 second order.

Applicable for stiff problems of low accuracy.

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.