Veldhuizen’s Coefficients for Rosenbrock Methods (VELDS)

Veldhuizen developed two sets of coefficients for use with the Rosenbrock formulation. Shown below is one such set, “VELDS”, as presented in Hairer & Wanner’s ROS4 code.

              A21= 0.2000000000000000E01

       A31= 0.1750000000000000E01

       A32= 0.2500000000000000

       C21=-0.8000000000000000E01

       C31=-0.8000000000000000E01

       C32=-0.1000000000000000E01

       C41= 0.5000000000000000

       C42=-0.5000000000000000

       C43= 0.2000000000000000E01

       B1= 0.1333333333333333E01

       B2= 0.6666666666666667

       B3=-0.1333333333333333E01

       B4= 0.1333333333333333E01

       E1=-0.3333333333333333

       E2=-0.3333333333333333

       E3=-0.0000000000000000

       E4=-0.1333333333333333E01

       GAMMA= 0.5000000000000000

       C2= 0.1000000000000000E01

       C3= 0.5000000000000000

       D1= 0.5000000000000000

       D2=-0.1500000000000000E01

       D3=-0.7500000000000000

       D4= 0.2500000000000000

 

Used with the Generalized Rosenbrock formulation, these coefficients can be implemented fairly easily for numerical solution of 1^st order ODE’s.