134 citations · 770 across the 68 of their papers we have counts for
3 papers · 1 filter
Optimal monotonicity-preserving perturbations of a given Runge-Kutta method
Inmaculada Higueras, David I. Ketcheson, Tihamér A. Kocsis
Perturbed Runge--Kutta methods (also referred to as downwind Runge--Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Run…
Strong stability preserving explicit linear multistep methods with variable step size
Yiannis Hadjimichael, David Ketcheson, Lajos Lóczi +1
Strong stability preserving (SSP) methods are designed primarily for time integration of nonlinear hyperbolic PDEs, for which the permissible SSP step size varies from one step to…
Existence and optimality of strong stability preserving linear multistep methods: a duality-based approach
Adrián Németh, David Ketcheson
We prove the existence of explicit linear multistep methods of any order with positive coefficients. Our approach is based on formulating a linear programming problem and establish…