Instituto de Investigación
en Matemáticas

Modelización, Teoría y Análisis Numérico en Problemas de Optimización y Ecuaciones de Evolución

(MTANPOEE)


Objetivos: - Favorecer el desarrollo de la investigación de los miembros del grupo. - Coordinar el esfuerzo en la gestión de proyectos de los miembros del grupo. - Fortalecer el debate de ideas para la colaboración entre los miembros del grupo. - Fomentar la realización conjunta de actividades de carácter investigador y de difusión, como seminarios, visitas de investigadores extranjeros, etc.
Líneas de investigación: Problemas de optimización en espacios ordenados y aplicaciones. Modelización y análisis numérico en la propagación de ondas no lineales. Análisis teórico y numérico de problemas de difusión y su aplicación al procesamiento de imágenes
Publicaciones:
A numerical method for an integro-differential equation with memory in Banach spaces: qualitative properties SIAM J. Numer. Anal. 41 1232--1241 (electronic) (2003) Cuesta, E. and Palencia, C.
A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces Appl. Numer. Math. 45 139--159 (2003) Cuesta, E. and Palencia, C.
A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces Numer. Math. 110 257--275 (2008) Cuesta, E. and Makridakis, Ch.
Runge-Kutta convolution quadrature methods for well-posed equations with memory Numer. Math. 107 589--614 (2007) Calvo, M. P. and Cuesta, E. and Palencia, C.
Convolution quadrature time discretization of fractional diffusion-wave equations Math. Comp. 75 673--696 (electronic) (2006) Cuesta, Eduardo and Lubich, Christian and Palencia, Cesar
Generalized fractional integrals in advanced remote sensing Proceedings of 12th IEEE/ASME International Conference on Mechatronic and Embedded systems and Application 0 (2016) Eduardo Cuesta, Carmen Quintano Pastor, y Alfonso Fernández-Manso
Improving satellite image classification by using fractional type convolution filtering International Journal of Applied Earth Observation and Geoinformation 12 298–301 (2010) Carmen Quintano Pastor, Eduardo Cuesta Montero
A variable step size numerical method based on fractional type quadratures for linear integro-differential equations Advances in Engineering Software 41 64-69 (2010) Eduardo Cuesta
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations Discrete Contin. Dyn. Syst. 0 277--285 (2007) Cuesta, Eduardo
Image structure preserving denoising using generalized fractional time integrals Signal Processing 92 553–563 (2012) Eduardo Cuesta, Mokhtar Kirane
Linear fractional-based filter as a pre-classifier to map burned areas in Mediterranean countries International Journal of Remote Sensing 36 3293-3316 (2015) Eduardo Custa Montero, Carmen Quintano Pastor
On nonexistence of global solution for multi-time nonlinear hyperbolic equations and systems 0 (0) A. Armada, B: Alsaedi, Eduardo Cuesta Montero,Mokhtar Kirane Kirane
The numerical integration of relative equilibrium solutions. Geometric theory Nonlinearity 11 1547--1567 (1998) Durán, A. and Sanz-Serna, J. M.
A technique to improve the error propagation when integrating relative equilibria BIT 44 215--235 (2004) Cano, B. and Duran, A.
Conservative numerical methods for solitary wave interactions J. Phys. A 36 7761--7770 (2003) Durán, A. and López-Marcos, M. A.
A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems Math. Comp. 72 1803--1816 (electronic) (2003) Cano, B. and Durán, A.
Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones Math. Comp. 72 1769--1801 (electronic) (2003) Cano, B. and Durán, A.
Numerical behaviour of stable and unstable solitary waves Appl. Numer. Math. 42 95--116 (2002) Durán, A. and López-Marcos, M. A.
Error propagation in the numerical integration of solitary waves. The regularized long wave equation Appl. Numer. Math. 36 197--217 (2001) Araújo, A. and Durán, A.
The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation IMA J. Numer. Anal. 20 235--261 (2000) Durán, A. and Sanz-Serna, J. M.
Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation J. Comput. Phys. 227 2130--2153 (2008) Durán, A.
A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems J. Nonlinear Sci. 17 569--607 (2007) Dougalis, V. A. and Durán, A. and López-Marcos, M. A. and Mitsotakis, D. E.
Petviashvili type methods for traveling wave computations: I. Analysis of convergence J. Comput. Appl. Math. 266 39--51 (2014) Álvarez, J. and Durán, A.
An extended Petviashvili method for the numerical generation of traveling and localized waves Commun. Nonlinear Sci. Numer. Simul. 19 2272--2283 (2014) Álvarez, J. and Durán, A.
On the Galilean invariance of some nonlinear dispersive wave equations Stud. Appl. Math. 131 359--388 (2013) Duran, Angel and Dutykh, Denys and Mitsotakis, Dimitrios
On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits J. Comput. Appl. Math. 236 2954--2961 (2012) Álvarez, J. and Durán, A.
On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations Commun. Nonlinear Sci. Numer. Simul. 17 637--649 (2012) Álvarez, J. and Durán, A.
A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models J. Comput. Appl. Math. 235 1790--1797 (2011) Álvarez, J. and Durán, A.
Simulation of coherent structures in nonlinear Schrödinger-type equations J. Comput. Phys. 229 8180--8198 (2010) Alonso-Mallo, I. and Durán, A. and Reguera, N.
Error propagation when approximating multi-solitons: the KdV equation as a case study Appl. Math. Comput. 217 1522--1539 (2010) Álvarez, J. and Durán, A.
Error propagation in numerical approximations near relative equilibria J. Comput. Appl. Math. 234 3373--3386 (2010) Álvarez, J. and Durán, A.
Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods Math. Comput. Simulation 123 19--36 (2016) Álvarez, J. and Durán, A.
Numerical solution of the Benjamin equation Wave Motion 52 194--215 (2015) Dougalis, V. A. and Duran, A. and Mitsotakis, D.
Corrigendum to ``Petviashvili type methods for traveling wave computations: I. Analysis of convergence'' [J. Comput. Appl. Math. 266 (2014) 39--51] [MR3176279] J. Comput. Appl. Math. 277 215--216 (2015) Álvarez, J. and Durán, A.
A plethora of generalised solitary gravity-capillary water waves Journal of Fluid Mechanics 784 664-680 (2015) Didier Clamond; Denys Dutykh; Angel Duran.
Efficient computation of capillary–gravity generalised solitary waves Wave Motion 65 1-16 (2016) Denys Dutykh, Didier Clamond, Angel Durán
Nonlinear Bloch modes, optical switching and Bragg solitons in tightly coupled micro-ring resonator chains j. Optics 14 015205 (2012) P. Chamorro-Posada, P. Martin-Ramos, J. Sanchez-Curto, J. C. Garcia-Escartin, J. A. Calzada, C. Palencia, A. Durán
Numerical approximation of solitary waves of the Benjamin equation Mathematics and Computers in Simulation 127 56-79 (2016) V. A. Dougalis, A. Durán, D. Mitsotakis
Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems J. Comput. Appl. Math. 316 29--39 (2017) Álvarez, J. and Durán A.
Proper approximate solutions and epsilon-subdifferentials in vector optimization: Moreau-Rockafellar type theorems J. Convex Anal. 21 857--886 (2014) Gutiérrez, C. and Huerga, L. and Jiménez, B. and Novo, V.
Existence and boundedness of solutions in infinite-dimensional vector optimization problems J. Optim. Theory Appl. 162 515--547 (2014) Gutiérrez, César and López, Rubén and Novo, Vicente
Proper approximate solutions and epsilon-subdifferentials in vector optimization: basic properties and limit behaviour Nonlinear Anal. 79 52--67 (2013) Gutiérrez, C. and Huerga, L. and Jiménez, B. and Novo, V.
Equivalent epsilon-efficiency notions in vector optimization TOP 20 437--455 (2012) Gutiérrez, C. and Jiménez, B. and Novo, V.
Improvement sets and vector optimization European J. Oper. Res. 223 304--311 (2012) Gutiérrez, C. and Jiménez, B. and Novo, V.
Scalarization and saddle points of approximate proper solutions in nearly subconvexlike vector optimization problems J. Math. Anal. Appl. 389 1046--1058 (2012) Gutiérrez, C. and Huerga, L. and Novo, V.
Pointwise well-posedness in set optimization with cone proper sets Nonlinear Anal. 75 1822--1833 (2012) Gutiérrez, C. and Miglierina, E. and Molho, E. and Novo, V.
Vector critical points and efficiency in vector optimization with Lipschitz functions Optim. Lett. 10 47--62 (2016) Gutiérrez, C. and Jiménez, B. and Novo, V. and Ruiz-Garzón, G.
Duality related to approximate proper solutions of vector optimization problems J. Global Optim. 64 117--139 (2016) Gutiérrez, C. and Huerga, L. and Novo, V. and Tammer, C.
Optimality conditions for quasi-solutions of vector optimization problems J. Optim. Theory Appl. 167 796--820 (2015) Gutiérrez, C. and Jiménez, B. and Novo, V.
Chain rules for a proper epsilon-subdifferential of vector mappings J. Optim. Theory Appl. 167 502--526 (2015) Gutiérrez, César and Huerga, Lidia and Novo, Vicente and Thibault, Lionel
Efficiency through variational-like inequalities with Lipschitz functions Appl. Math. Comput. 259 438--449 (2015) Gutiérrez, C. and Jiménez, B. and Novo, V. and Ruiz-Garzón, G.
Scalarization in set optimization with solid and nonsolid ordering cones J. Global Optim. 61 525--552 (2015) Gutiérrez, C. and Jiménez, B. and Miglierina, E. and Molho, E.
A Brézis-Browder principle on partially ordered spaces and related ordering theorems J. Math. Anal. Appl. 375 245--260 (2011) Flores-Bazán, F. and Gutiérrez, C. and Novo, V.
A generic approach to approximate efficiency and applications to vector optimization with set-valued maps J. Global Optim. 49 313--342 (2011) Gutiérrez, C. and Jiménez, B. and Novo, V.
Higher order strong convexity and global strict minimizers in multiobjective optimization J. Convex Anal. 18 85--103 (2011) Gutiérrez, C. and Jiménez, B. and Novo, V.
Convergence of solutions of a set optimization problem in the image space J. Optim. Theory Appl. 170 358--371 (2016) Gutiérrez, César and Miglierina, Enrico and Molho, Elena and Novo, Vicente
Henig approximate proper efficiency and optimization problems with difference of vector mappings J. Convex Anal. 23 661--690 (2016) Gutiérrez, C. and Huerga, L. and Jiménez, B. and Novo, V.
On Hadamard well-posedness of families of Pareto optimization problems J. Math. Anal. Appl. 444 881--899 (2016) Gutiérrez, César and López, Rubén and Novo, Vicente
Approximate solutions of multiobjective optimization problems Boletin de Estadística e Investigación Operativa 30 30--48 (2014) C. Gutiérrez and L. Huerga
Nonconvex separation functional in linear spaces with applications to vector equilibria SIAM J. Optim. 26 2677--2695 (2016) C. Gutiérrez, V. Novo, J.L. Rodenas-Pedregosa, and T. Tanaka
Sequential epsilon-subdi fferential calculus for scalar and vector mappings Set-Valued Var. Anal 0 (2016) C. Gutiérrez, L. Huerga, V. Novo, and L. Thibault
Proyectos:
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