6 citations · 6 across the 3 of their papers we have counts for
4 papers
A new insight on positivity and contractivity of the Crank-Nicolson scheme for the heat equation
I. Higueras, T. Roldán
In this paper we study numerical positivity and contractivity in the infinite norm of Crank-Nicolson method when it is applied to the diffusion equation with homogeneous Dirichlet…
New third order low-storage SSP explicit Runge-Kutta methods
I. Higueras, T. Roldan
When a high dimension system of ordinary differential equations is solved numerically, the computer memory capacity may be compromised. Thus, for such systems, it is important to i…
Construction of Additive Semi-Implicit Runge-Kutta methods with low-storage requirements
Inmaculada Higueras, Teo Roldán
Space discretization of some time-dependent partial differential equations gives rise to systems of ordinary differential equations in additive form whose terms have different stif…
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…