Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals. - Ana Carpio; S. Jonathan Chapman; J. J. L. Velázquez (SIAM J. Appl. Math., 2001)

Numerical Study of Hyperbolic Equations with Integral Constraints Arising in Semiconductor Theory. - Ana Carpio; Pedro J. Hernando; Manuel Kindelan (SIAM J. Numer. Anal., 2001)

Wavefronts for discrete two-dimensional nonlinear diffusion equations. - Ana Carpio (Appl. Math. Lett., 2002)

Pulse Propagation in Discrete Systems of Coupled Excitable Cells. - Ana Carpio; Luis L. Bonilla (SIAM J. Appl. Math., 2003)

Depinning Transitions in Discrete Reaction-Diffusion Equations. - Ana Carpio; Luis L. Bonilla (SIAM J. Appl. Math., 2003)

Control challenges in semiconductor nanostructure devices. - Luis L. Bonilla; Ana Carpio (CDC/ECC, 2005)

Domain reconstruction using photothermal techniques. - Ana Carpio; María-Luisa Rapún (J. Comput. Phys., 2008)

Self-sustained current oscillations in the kinetic theory of semiconductor superlattices. - Elena Cebrián; Luis L. Bonilla; Ana Carpio (J. Comput. Phys., 2009)

Nonreflecting boundary conditions for discrete waves. - Ana Carpio; B. Tapiador (J. Comput. Phys., 2010)

Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields. - Ana Carpio; B. Tomas Johansson; María-Luisa Rapún (J. Math. Imaging Vis., 2010)

Propagation Failure Along Myelinated Nerves. - Ana Carpio; I. Peral (J. Nonlinear Sci., 2011)

Parameter Identification in Photothermal Imaging. - Ana Carpio; María-Luisa Rapún (J. Math. Imaging Vis., 2014)

Noninvasive Imaging of Three-Dimensional Micro and Nanostructures by Topological Methods. - Ana Carpio; Thomas G. Dimiduk; María-Luisa Rapún; Virginia Selgás (SIAM J. Imaging Sci., 2016)

Dynamic energy budget approach to evaluate antibiotic effects on biofilms. - Björn Birnir; Ana Carpio; Elena Cebrián; Perfecto Vidal (Commun. Nonlinear Sci. Numer. Simul., 2018)

A convergent numerical scheme for integrodifferential kinetic models of angiogenesis. - Luis L. Bonilla; Ana Carpio; Manuel Carretero; Gema Duro; Mihaela Negreanu; Filippo Terragni (J. Comput. Phys., 2018)

Optimization Methods for In-Line Holography. - Ana Carpio; Thomas G. Dimiduk; Virginia Selgás; Perfecto Vidal (SIAM J. Imaging Sci., 2018)

When topological derivatives met regularized Gauss-Newton iterations in holographic 3D imaging. - Ana Carpio; Thomas G. Dimiduk; Frédérique Le Louër; María-Luisa Rapún (J. Comput. Phys., 2019)

Bayesian approach to inverse scattering with topological priors. - Ana Carpio; Sergei Iakunin; Georg Stadler (CoRR, 2020)

Positivity preserving high order schemes for angiogenesis models. - Ana Carpio; Elena Cebrián (CoRR, 2020)

Incorporating Cellular Stochasticity in Solid-Fluid Mixture Biofilm Models. - Ana Carpio; Elena Cebrián (Entropy, 2020)

Tracking collective cell motion by topological data analysis. - Luis L. Bonilla; Ana Carpio; Carolina Trenado (PLoS Comput. Biol., 2020)

Multifrequency Topological Derivative Approach to Inverse Scattering Problems in Attenuating Media. - Ana Carpio; María-Luisa Rapún (Symmetry, 2021)

Object based Bayesian full-waveform inversion for shear elastography. - Ana Carpio; Elena Cebrián; Andrea Gutierrez (CoRR, 2023)

Well posedness of fluid/solid mixture models for biofilm spread. - Ana Carpio; Gema Duro (CoRR, 2023)

Biofilms as poroelastic materials. - Ana Carpio; Elena Cebrián; Perfecto Vidal (CoRR, 2024)

Quantifying uncertainty in inverse scattering problems set in layered environments. - Carolina Abugattas; Ana Carpio; Elena Cebrián; Gerardo Oleaga (Appl. Math. Comput., 2025)