Coordinator
Laboratory for High Performance Computing at MODEMAT (HPCModemat)
Professor at Escuela Politécnica Nacional, Quito - Ecuador
Researcher at MODEMAT, Quito - Ecuador
Research interests:
- PDE Constrained Optimization
- Numerical analysis of PDE Constrained Optimization
- Mathematical Modeling in Biosciences
In refered journals:
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.
Submitted articles
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
Pedro Martín Merino Rosero
Born in February 1979 in Quito - Ecuador
PhD. in Applied Mathematics, Researcher at MODEMAT and Professor at EPN - Quito (since 2009)
Coordinator of the Laboratory for High Performace Computing at MODEMAT (since 2014)
Research interests:- PDE Constrained Optimization
- Numerical analysis of PDE Constrained Optimization
- Mathematical Modeling in Biosciences
My scientific interests are currently focused on applied mathematics: modeling and optimization methods for finite and infinite dimensional problems. In particular, non–smooth optimization problems involving sparse solutions and modeling of problems arising in mathematical biology.
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Collaborators
Prof. Juan Carlos de los Reyes, MODEMAT - Escuela Politécnica Nacional Quito-Ecuador
Prof. Sergio González, MODEMAT,Escuela Politécnica Nacional Quito-Ecuador
Undergraduate students
Esteffani Carpio. Works on numerical methods for maximum enthropy models arising in ecology.
Former students
Cristhian Nuñez (Master 2018). Worked on numerical simulation of free-boundary Bingham fluids.
Alexander Nenjer (Undergraduate 2018). Worked on error estimates of state-constrained elliptic optimal control problems with sparsity.
Verónica Vaca (Undergraduate 2017). Worked on numerical methods for sparse optimal control problems.
Christian Montalván (Undergraduate 2016). Worked on optimal control of malaria models with delay.
Cristhian Nuñez (Undergraduate 2015). Worked on model reduction of optimal control of reaction-difusion equations.
Estefanía Loayza (Undergraduate 2014). Worked on numerical methods for optimization problems with sparsity.
Sofía Jijón (Undergraduate 2013). Worked on model reduction of reaction--difussion equations in population dynamics.