Comparison of Radau and Lobatto methods with a novel adaptive time stepping for fluid dynamics problems
Fully implicit Runge-Kutta methods play an important role in the numerical integration of stiff differential equations. Radau IIA is the most commonly used fully implicit method due to its good theoretical performance. However, Radau IA and Lobatto IIIC might also be suitable for different problems. These three methods are constructed using simplified order conditions that ensures specific integra
