de la Cruz, H.; Olivera, C. An explicit numerical scheme for the computer simulation of the stochastic transport equation. (English) Zbl 1490.65008 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106378, 14 p. (2022). MSC: 65C30 60H10 60H35 65F60 35Q49 PDFBibTeX XMLCite \textit{H. de la Cruz} and \textit{C. Olivera}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106378, 14 p. (2022; Zbl 1490.65008) Full Text: DOI
de la Cruz, H. Stabilized explicit methods for the approximation of stochastic systems driven by small additive noises. (English) Zbl 1495.65010 Chaos Solitons Fractals 140, Article ID 110195, 13 p. (2020). MSC: 65C30 34F05 60H10 PDFBibTeX XMLCite \textit{H. de la Cruz}, Chaos Solitons Fractals 140, Article ID 110195, 13 p. (2020; Zbl 1495.65010) Full Text: DOI
Jimenez, J. C.; de la Cruz, H.; De Maio, P. A. Efficient computation of phi-functions in exponential integrators. (English) Zbl 1503.65015 J. Comput. Appl. Math. 374, Article ID 112758, 16 p. (2020). MSC: 65C30 65L05 65L06 60H35 PDFBibTeX XMLCite \textit{J. C. Jimenez} et al., J. Comput. Appl. Math. 374, Article ID 112758, 16 p. (2020; Zbl 1503.65015) Full Text: DOI
de la Cruz, H.; Jimenez, J. C.; Zubelli, J. P. Locally linearized methods for the simulation of stochastic oscillators driven by random forces. (English) Zbl 1364.65021 BIT 57, No. 1, 123-151 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 34F05 60H35 PDFBibTeX XMLCite \textit{H. de la Cruz} et al., BIT 57, No. 1, 123--151 (2017; Zbl 1364.65021) Full Text: DOI
Carbonell, F.; Biscay, R. J.; Jimenez, J. C.; de la Cruz, H. Numerical simulation of nonlinear dynamical systems driven by commutative noise. (English) Zbl 1125.60070 J. Comput. Phys. 226, No. 2, 1219-1233 (2007). MSC: 60H35 60H10 60H25 65C30 PDFBibTeX XMLCite \textit{F. Carbonell} et al., J. Comput. Phys. 226, No. 2, 1219--1233 (2007; Zbl 1125.60070) Full Text: DOI
De la Cruz, H.; Biscay, R. J.; Carbonell, F.; Ozaki, T.; Jimenez, J. C. A higher order local linearization method for solving ordinary differential equations. (English) Zbl 1115.65080 Appl. Math. Comput. 185, No. 1, 197-212 (2007). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{H. De la Cruz} et al., Appl. Math. Comput. 185, No. 1, 197--212 (2007; Zbl 1115.65080) Full Text: DOI