with L. Constantin and F. de la Hoz. Submitted. Arxiv: 2605.23252
SRF cavity detuning characterization by continuous wavelet transform: a time-frequency analysis,
J. S. Romero (1st), P. Echevarria, A. Neumann, A. Ushakov, C. Cuesta and J. Knobloch. Proceedings of the 17th International Particle Accelerator Conference 2026. To appear in IOP.
Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term,
with L.Constantin. In JMAA, Volume 556, Issue 1, Part 3, 1 April 2026, 130219. Arxiv:2507.00959.
A non-recursive Schur-Decomposition Algorithm for N-Dimensional Matrix Equations,
with F. de la Hoz. Submitted. Arxiv:2412.15840.
A fast convolution method for the fractional Laplacian in R,
with J. Cayama, F. de la Hoz and C. J. Garcia-Cervera. In RACSAM, 119, 80 (2025). ArXiv:2212.05143.
with F. Achleitner and X. Diez-Izagirre. In EJDE Vol. 2025, No. 45, pp. 1-38. Arxiv:2412:03209.
Numerical Approximation of Riesz-Feller Operators on R,
with F. de la Hoz and I. Girona, in JCAM,Volume 454, 15, January 2025, 116194. ArXiv: 2401.07140
Numerical computation of the half Laplacian by means of a fast convolution algorithm
with F. de la Hoz and I. Girona, in ETNA, Volume 60, pp. 59-98, 2024. ArXiv:2306.05009.
with X. Diez-Izagirre. arXiv:2302.03981. Czechoslovak Mathematical Journal, Vol. 73, No. 4, pp. 1057-1080, 2023.
A Pseudospectral Method for the One-Dimensional Fractional Laplacian on R,
with J. Cayama and F. de la Hoz. Applied Mathematics and Computation, Volume 389, 15, (January 2021), 125577. Arxiv:1908.09143
Numerical Approximation of the Fractional Laplacian on R Using Orthogonal Families,
with J. Cayama and F. de la Hoz. Applied Numerical Mathematics, 158, 164-193 (December 2020). Arxiv:2001.08825
Vanishing viscosity limit of a conservation law regularised by a Riesz-Feller operator,
with X. Diez-Izagirre. Monatshefte für Mathematik,192, 513-550 (2020), Arxiv:1909.00685
Self-similar lifting and persistent touch-down points in the thin-film equation,
with H. Knüpfer and J.J.L. Velázquez SIAM J. Math. Anal., 50 (2018), 1900–1917.
with F. Achleitner. Journal of Differential Equations, 262 (2017) pp. 1155-1160.
Interfaces determined by capillarity and gravity in a two-dimensional porous medium,
with M. Calle and J.J.L. Velázquez. Interfaces and Free Boundaries, 18 (2016), no. 3, 355--391.
A pseudo-spectral method for a non-local KdV-Burgers equation posed on R,
with F. de la Hoz. J. Comput. Phys. 311 (2016), 45–61
A non-local KdV-Burgers equation: Numerical study of travelling waves.
Commun. Appl. Ind. Math. 6 (2015), no. 2, e-533, 21 pp.
Pattern formation in a pseudo-parabolic equation,
with J.R. King. arXiv:1605.08258
Travelling waves for a non-local Korteweg-de Vries-Burgers equation,
with F. Achleitner and S. Hittmeir. J. Differential Equations 257 (2014), no. 3, 720–758.
Existence of solutions describing accumulation in a thin-film flow (arXiv:1301.0727)
with J.J.L. Velázquez. SIAM J. Appl. Dyn. Syst., 13(1), 47–93 (January 2014).
Fluid accumulation in thin-film flows driven by surface tension and gravity (first part of arXiv:1107.5917, reduced),
with J.J.L. Velázquez. Appl. Math. Letters. Vol. 26, n. 6, pp. 649–653 (June 2013).
Traveling waves of a kinetic transport model for the KPP-Fisher equation,
with S. Hittmeir and C. Schmeiser. SIAM J. Math. Anal. Vol. 44, n. 6, pp. 4128–4146 (Dec. 2012).
Analysis of oscillations in a drainage equation (second part of arXiv:1107.5917, improved),
with J.J.L. Velázquez, SIAM J. Math. Anal. Vol. 44, n. 3, pp. 1588-1616 (May 2012).
Front propagation in a heterogeneous Fisher equation: the homogeneous case is non-generic,
with J.R. King. Q J Mechanics Appl Math.Vol. 63(4). pp. 521-571 (Nov. 2010).
Long-time behaviour of a one-dimensional BGK model: convergence to macroscopic rarefaction waves,
with C. Schmeiser. Monatshefte fuer Mathematik, Vol. 160, n. 4, pp. 361-374 (July 2010).
Weak shocks of a BGK kinetic model relaxing to the isentropic system of gas dynamics,
with S. Hittmeir and C. Schmeiser. Kinetic and Related Models, Vol. 3, n. 2, pp. 255-279 (June 2010).
Linear stability analysis of travelling waves for a pseudo-parabolic Burgers' equation.
Dynamics of PDE, Vol. 7, n. 1, pp.77-105 (March 2010)
Kinetic shock profiles for nonlinear hyperbolic conservation laws,
with S. Hittmeir and C. Schmeiser. Rivista Matematica della Universita' di Parma. Vol. 1, pp. 139-198 (2009) - Serie 8.
with I.S. Pop. J. Comput. Appl. Math., Vol. 224, n. 1, pp. 269-283 (Feb. 2009).
Stability of solitary waves in a semiconductor drift-diffusion model,
with C. Schmeiser. SIAM J. Appl. Math. Vol. 68, n. 5, pp. 1423--1438 (2008).
A note on L1 stability of travelling waves for a one-dimensional BGK model.
Hyperbolic Problems: Theory, Numerics, Applications, proceedings of the 11th international conference on hyperbolic problems, Lyon, 2006, 431--438, Springer (2008).
Kinetic profiles for shock waves of scalar conservation laws,
with C. Schmeiser, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 2, 391--408.
Weak shocks for a one-dimensional BGK kinetic model for conservation laws,
with C. Schmeiser. SIAM J. Math. Anal. 38 (2006), no. 2, 637--656.
Small- and waiting-time behaviour of a Darcy flow model with a dynamic pressure saturation relation,
with J.R. King. SIAM J. Appl. Math. 66 (2006), no. 5, 1482--1511. Extended version
Non-classical shocks for Buckley-Leverett: degenerate pseudo-parabolic regularisation,
with C.J. van Duijn and I.S. Pop. Progress in industrial mathematics at ECMI 2004, 569--573, Math. Ind., 8, Springer, Berlin, 2006.
Pseudo-parabolic equations with driving convection term.
My thesis (March 2003)
A model problem for groundwater flow with dynamic capillary pressure: stability of travelling waves,
with J. Hulshof. Nonlinear Anal. TMA, 52, 1199-1218 (2003),
Infiltration in Porous Media with Dynamic Capillary Pressure: Travelling Waves,
with C.J. van Duijn and J. Hulshof. Eur. J. Appl. Math. 11, 381-397 (2000).