Energy-diminishing integration of gradient systems
Energy-diminishing integration of gradient systems
For gradient systems in Euclidean space or on a Riemannian manifold the energy decreases monotonically along solutions.Algebraically stable Runge-Kutta methods are shown to also reduce the energy in each step under a mild step-size restriction.In particular, Radau IIA methods can combine energy monotonicity and damping in stiff gradient systems.Discrete-gradient methods …