3 citations · 8 across the 8 of their papers we have counts for
8 papers
Exponential Rosenbrock methods without order reduction when integrating nonlinear initial value problems
Begoña Cano, María Jesús Moreta
A technique is described in this paper to avoid order reduction when integrating reaction-diffusion initial boundary value problems with explicit exponential Rosenbrock methods. Th…
Simplified explicit exponential Runge-Kutta methods without order reduction
Begoña Cano, María Jesús Moreta
In a previous paper, a technique was suggested to avoid order reduction with any explicit exponential Runge-Kutta method when integrating initial boundary value nonlinear problems…
Avoiding order reduction with explicit Runge-Kutta exponential methods in nonlinear initial boundary value problems
Begoña Cano, Marí a Jesús Moreta
In this paper a technique is given to recover the classical order of the method when explicit exponential Runge-Kutta methods integrate reaction-diffusion problems. Although method…
Order reduction and how to avoid it when Lawson methods integrate reaction-diffusion boundary value problems
Begoña Cano, Nuria Reguera
It is well known that Lawson methods suffer from a severe order reduction when integrating initial boundary value problems where the solutions are not periodic in space or do not s…
On nonparaxial nonlinear Schrödinger-type equations
B. Cano, A. Durán
In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered. This was proposed as an alternative to the classical nonlinear Schrödinger equation in t…
Looking for efficiency when avoiding order reduction in nonlinear problems with Strang splitting
Isaías Alonso-Mallo, Begoña Cano, Nuria Reguera
In this paper, we offer a comparison in terms of computational efficiency between two techniques to avoid order reduction when using Strang method to integrate nonlinear initial bo…