De Los Reyes J. C.; Loayza E.; Merino P., Second-order orthant-based methods with enriched Hessian information for sparse $\ell_1$-optimization. Computational Optimization and Applications, 67 (2017), no. 2, 225–258.
Merino, Pedro, Finite element error estimates for an optimal control problem governed by the Burgers equation. Computational Optimization and Applications, 63 (2016), no. 3, 793–824.
Merino Pedro; Neitzel Ira; Tröltzsch Fredi, An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Optimization Methods and Software, 30 (2015), no. 3, 492–515.
Merino Pedro; Neitzel, Ira; Tröltzsch, Fredi On linear-quadratic elliptic control problems of semi-infinite type. Applied Analalysis 90 (2011), no. 6, 1047–1074.
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems. Discuss. Math. Differ. Incl. Control Optim. 30 (2010), no. 2, 221–236.
Merino Pedro; Tröltzsch Fredi; Vexler Boris, Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. M2AN Mathematical Modeling and Numerical Analysis, 44 (2010), no. 1, 167–188.
de Los Reyes J. C.; Merino P.; Rehberg, J.; Tröltzsch F. Optimality conditions for state-constrained PDE control problems with time-dependent controls. Control Cybernet. 37 (2008), no. 1, 5–38.
Merino, P. and Nenjer, A., Error estimates for the fem approximation of state--constrained elliptic optimal control problems with sparsity in a finite--dimensional control space. 2018.
Merino, P. A DC--programming approach for sparse PDE optimal control problems with fractional penalizations. 2017
Hernández, E.; Merino, P. A locking-free optimal control problem with $L^1$ cost for optimal placement of control devices in Timoshenko beam. 2017
2018
Modelización matemática de la evolución de tumores cancerígenos
National multidisciplinary project funded by Escuela Politécnica Nacional
Luis Miguel Torres (Modemat)
Miguel Pinto (Natural Sciences Musseum at EPN )
Iván Carrera (Faculty of Computer Science at EPN)
2016
Reconocimiento y conteo automático de vectores transmisores de enfer- medades infecciosas mediante aprendizaje de máquinas
National project funded by Escuela Politécnica Nacional
David Villacís (Modemat)