30 citations · 32 across the 6 of their papers we have counts for
6 papers
Modeling wildfire dynamics through a physics-based approach incorporating fuel moisture and landscape heterogeneity
Adrián Navas-Montilla, Cordula Reisch, Pablo Diaz +1
Anthropogenic climate change has increased the probability, severity, and duration of heat waves and droughts, subsequently escalating the risk of wildfires. Mathematical and compu…
Impact of topography and combustion functions on fire front propagation in an advection-diffusion-reaction model for wildfires
Luca Nieding, Cordula Reisch, Dirk Langemann +1
Given the recent increase in wildfires, developing a better understanding of their dynamics is crucial. For this purpose, the advection-diffusion-reaction model has been widely use…
Analytical and numerical insights into wildfire dynamics: Exploring the advection-diffusion-reaction model
Cordula Reisch, Adrián Navas-Montilla, Ilhan Özgen-Xian
Understanding the dynamics of wildfire is crucial for developing management and intervention strategies. Mathematical and computational models can be used to improve our understand…
Parameter-uniform numerical methods for singularly perturbed linear transport problems
J. L. Gracia, A. Navas-Montilla, E. O'Riordan
Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise-uniform Sh…
Augmented resolution of linear hyperbolic systems under nonconservative form
Adrián Navas-Montilla, Ilhan Özgen-Xian
Hyperbolic systems under nonconservative form arise in numerous applications modeling physical processes, for example from the relaxation of more general equations (e.g. with dissi…
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 +3
Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis and the study of circulatory diseases, especially to obtain data that require otherwise in…