Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia

My graduate work has focused on nonlinear elliptic problems with applications in Astrophysics. During my Ph.D. I worked in the field of optimal control problems governed by parabolic PDEs. Particularly, the numerical solution of large scale Differential Riccati Equations (DREs), their analysis of convergence using evolution theory for non-autonomous systems and applications in linear and nonlinear optimal control problems. Matrix versions of the standard ODE methods, BDF and Rosenbrock, well-suited for large-scale DREs were derived using a low-rank approximation of the solution even for varying the order of the method and the step-size. For the computation of these low-rank matrices modern techniques from numerical linear algebra are applied. Moreover, we have been developing new parallel solvers for large-scale Riccati equations with the research group at Universidad Jaime I, Castellon (Spain).
Running a founded project in the last three years in cooperation with an interdisciplinary team of biologists, engineers, and geophysicists I have been working in modeling and simulation of the glyphosate aerial spray drift at the Ecuador-Colombia border. The mathematical model comprises an instationary convection-diffusion equation and numerical simulations in 2D and 3D were performed in big domains, e.g., 10x16 km, ending up with an extreme scale problem.