Energy balanced numerical schemes with very high order. The Augmented Roe Flux ADER scheme. Application to the shallow water equations. - Adrián Navas-Montilla; Javier Murillo (J. Comput. Phys., 2015)

Asymptotically and exactly energy balanced augmented flux-ADER schemes with application to hyperbolic conservation laws with geometric source terms. - Adrián Navas-Montilla; Javier Murillo (J. Comput. Phys., 2016)

Overcoming numerical shockwave anomalies using energy balanced numerical schemes. Application to the Shallow Water Equations with discontinuous topography. - Adrián Navas-Montilla; Javier Murillo (J. Comput. Phys., 2017)

2D well-balanced augmented ADER schemes for the Shallow Water Equations with bed elevation and extension to the rotating frame. - Adrián Navas-Montilla; Javier Murillo (J. Comput. Phys., 2018)

Computational hemodynamics in arteries with the one-dimensional augmented fluid-structure interaction system: viscoelastic parameters estimation and comparison with in-vivo data. - Giulia Bertaglia; Adrián Navas-Montilla; Alessandro Valiani; Manuel Ignacio Monge García; Javier Murillo; Valerio Caleffi (CoRR, 2019)

Depth-averaged unsteady RANS simulation of resonant shallow flows in lateral cavities using augmented WENO-ADER schemes. - Adrián Navas-Montilla; Carmelo Juez; Mário J. Franca; Javier Murillo (J. Comput. Phys., 2019)

Improved Riemann solvers for an accurate resolution of 1D and 2D shock profiles with application to hydraulic jumps. - Adrián Navas-Montilla; Javier Murillo (J. Comput. Phys., 2019)

Augmented resolution of linear hyperbolic systems under nonconservative form. - Adrián Navas-Montilla; Ilhan Özgen-Xian (CoRR, 2020)

Parameter-uniform numerical methods for singularly perturbed linear transport problems. - Jose L. Gracia; Adrián Navas-Montilla; Eugene O'Riordan (CoRR, 2021)

Application of approximate dispersion-diffusion analyses to under-resolved Burgers turbulence using high resolution WENO and UWC schemes. - P. Solán-Fustero; Adrián Navas-Montilla; Esteban Ferrer 001; Juan Manzanero; P. García-Navarro (J. Comput. Phys., 2021)

A POD-based ROM strategy for the prediction in time of advection-dominated problems. - P. Solán-Fustero; Jose L. Gracia; Adrián Navas-Montilla; P. García-Navarro (J. Comput. Phys., 2022)

A family of well-balanced WENO and TENO schemes for atmospheric flows. - Adrián Navas-Montilla; Isabel Echeverribar (J. Comput. Phys., 2023)

Analytical and numerical insights into wildfire dynamics: Exploring the advection-diffusion-reaction model. - Cordula Reisch; Adrián Navas-Montilla; Ilhan Özgen-Xian (Comput. Math. Appl., 2024)

Modeling wildfire dynamics through a physics-based approach incorporating fuel moisture and landscape heterogeneity. - Adrián Navas-Montilla; Cordula Reisch; Pablo Diaz; Ilhan Özgen-Xian (Environ. Model. Softw., 2025)