BDF

Implicit multistep-solver of variable order (1-5) based on the Backward Differentiation Formulas (BDFs), also known as Gear’s method.

Applicable for stiff problems of low to medium 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
• Max order
• LU decomposition matrix format

Reference

• Shampine, L. F. and M. W. Reichelt, “The MATLAB ODE Suite,” SIAM Journal on Scientific Computing, Vol. 18, 1997, pp 1-22.
• Shampine, L. F., M. W. Reichelt, and J.A. Kierzenka, “Solving Index-1 DAEs in MATLAB and Simulink,” SIAM Review, Vol. 41, 1999, pp 538-552.