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Cano, Begoña Moreta Santos, María Jesús 2024-12-10T08:47:12Z 2024-12-10T08:47:12Z 2024-09-24 B. Cano y M. J. Moreta. Simplified explicit Exponential Runge-Kutta methods without order reduction, Journal of Computational mathematics (JCM) (2024). 4 Actividad investigadora 11 DOI:10.4208/jcm.2407-m2023-0131. 0254-9409 10.4208/jcm.2407-m2023-0131 https://hdl.handle.net/20.500.14352/112283 1991-7139 https://dx.doi.org/10.4208/jcm.2407-m2023-0131 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 with time-dependent boundary conditions. In this paper, we significantly simplify the full discretization formulas to be applied under conditions which are nearly always satisfied in practice. Not only a simpler linear combination of ϕj -functions is given for both the stages and the solution, but also the information required on the boundary is so much simplified that, in order to get local order three, it is no longer necessary to resort to numerical differentiation in space. In many cases, even to get local order 4. The technique is then shown to be computationally competitive against other widely used methods with high enough stiff order through the standard method of lines. eng restricted access Simplified explicit exponential Runge-Kutta methods without order reduction journal article