A modified Butcher formula for integration of stiff systems of ordinary differential equations

H. Nosrati
1973 Mathematics of Computation  
An ¿-stable one-step integration formula, called the modified Butcher (MB), is presented and is shown to have an order of accuracy p = 3, when the differential system is linear, and p = 2 otherwise. A method for evaluating the local truncation error of the formula is also suggested. Finally, the main features of this formula, vis-a-vis the trapezoidal, are compared.
doi:10.1090/s0025-5718-1973-0329265-3 fatcat:6omdmuptjbfkxjs3tanvhde7d4