Publications*
Books
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Numerical Simulation of Aerial Spray Drift: the Ecuador-Colombian border as a case of study
Benner P., Mena H. and Schneider R. Shaker-Verlag, Aachen-Germany, (2023), 204 pages. ISBN: 978-3-8440-9081-9 |
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Equations involving Malliavin calculus operators: Applications and Numerical Approximation. Levajković T. and Mena H. SpringerBriefs in Mathematics, Springer International Publishing, (2017), 125 pages. DOI:10.1007/978-3-319-65678-6 |
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Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. (in Spanish). Benner P., Mena H. and Schneider R. Shaker-Verlag, Aachen-Germany, (2014), 208 pages. DOI:10.2370/9783844030617 |
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Numerical Solution of Differential Riccati Equations Arising in Optimal Control Problems for Parabolic Partial Differential Equations. Mena H. (book based on my PhD Thesis) Unidad de Publicaciones de la Facultad de Ciencias, Quito-Ecuador, (2012), 175 pages. ISBN: 978-9978-383-09-4 |
Refereed Articles in Journals
[J26] |
Discounted cost linear quadratic Gaussian control for descriptor systems. Mena H., Pfurtscheller L. and Voigt M. (2020). International Journal of Control. DOI: 10.1080/00207179.2020.1854865 |
[J25] |
A splitting/polynomial chaos expansion approach for stochastic evolution equations. Kofler A., Levajković T., Mena H. and Ostermann A. (2020). Journal of Evolution Equations. DOI: 10.1007/s00028-020-00627-5 |
[J24] |
Analysis of Krylov Subspace. Approximation to Large Scale Differential Riccati Equations. Mena H. and Koskela A. (2020). Electronic Transactions on Numerical Analysis, 52: 431-454. DOI: 10.1553/etna_vol52s431 |
[J23] |
Random perturbations in a mathematical model of bacterial resistance: Analysis and optimal control. Mena H., Pfurtscheller L. and Romero-Leiton J. (2020). Mathematical Biosciences and Engineering, 17(5): 4477-4499. DOI: 10.3934/mbe.2020247 |
[J22] |
GPU acceleration of splitting schemes applied to differential matrix equations. Mena H., Pfurtscheller L. and Stillfjord T. (2020). Numerical Algorithms, 83: 395–419. DOI: 10.1007/s11075-019-00687-w |
[J21] |
An efficient SPDE approach for El Niño. Mena H. and Pfurtscheller L. (2019). Applied Mathematics and Computation, 352: 146-156. DOI: 10.1016/j.amc.2019.01.071 |
[J20] |
Solving Stochastic LQR Problems by Polynomial Chaos. Levajković T., Mena H. and Pfurtscheller L. (2018). IEEE Control Systems Letters, 2(4): 641-646. DOI: 10.1109/LCSYS.2018.2844730 |
[J19] |
Numerical low-rank approximation of matrix differential equations. Mena H., Ostermann A., Pfurtscheller L. and Piazzola C. (2018). Journal of Computational and Applied Mathematics, 340: 602-614. DOI: 10.1016/j.cam.2018.01.035 |
[J18] |
Fourier-Splitting Method for Solving Hyperbolic LQR Problems. Csomós P. and Mena H. (2018). Numerical Algebra, Control and Optimization, 8(1) :17-46. DOI: 10.3934/naco.2018002 |
[J17] |
Numerical Solution of the infinite-dimensional LQR-problem and the associated Riccati Differential Equations. Benner P. and Mena H. (2018). Journal of Numerical Mathematics, 26(1):1-20. DOI: 10.1515/jnma-2016-1039 |
[J16] |
The Stochastic Linear Quadratic Control Problem with Singular Estimates. Hafizoglu C., Lasiecka I., Levajković T., Mena H., and Tuffaha A. (2017). SIAM Journal on Control and Optimization, 55:595-626. DOI: 10.1137/16M1056183 |
[J15] |
Numerical Solution of the Finte Time Stochastic Linear Quadratic Control Problem. Damm T., Mena H. and Stillfjord T. (2017). Numerical Linear Algebra with Applications, 24(4). DOI: 10.1002/nla.2091 |
[J14] |
A Numerical Approximation Framework for the Stochastic Linear Quadratic Regulator Problem on Hilbert Spaces. Levajković T., Mena H. and Tuffaha A. (2017). Applied Mathematics & Optimization, 75:499–523. DOI: 10.1007/s00245-016-9339-3 |
[J13] |
Operator Differential Algebraic Equations with Noise Arising in Fluid Dynamics. Altmann R., Levajković T. and Mena H. (2017). Monatshefte für Mathematik, 182:741–780. DOI: 10.1007/s00605-016-0931-z |
[J12] |
Lévy processes, Subordinators and Crime Modelling. Levajković T., Mena H. and Zarfl M. (2016). Novi Sad Journal of Mathematics NSJOM, 46:65-86. DOI: 30755/NSJOM.03903 |
[J11] |
The stochastic linear quadratic optimal control problem in Hilbert spaces: A polynomial chaos approach. Levajković T., Mena H. and Tuffaha A. (2016). Evolution Equations and Control Theory, 5:105-134. DOI: 10.3934/eect.2016.5.105 |
[J10] |
Modelling of the Glyphosate Aerial Spray Drift at the Ecuador-Colombia border. Benner P., Mena H., and Schneider R. (2016). Applied Mathematical Modelling, 40, 1:373-387. DOI:10.1016/j.apm.2015.04.057. |
[J9] |
Drogen, Herbizide und numerische Simulation. Benner P., Mena H. and Schneider R. (2015). Mitteilungen der Deutschen Mathematiker-Vereinigung, 23(4):222-225. DOI: 10.1515/dmvm-2015-0084. |
[J8] |
On the benefits of the LDL factorization for large-scale differential matrix equation solvers. Lang N., Mena H. and Saak J. (2015). Linear Algebra and its Applications, 480:44-71. DOI:10.1016/j.laa.2015.04.006 |
[J7] |
Fuzzy Hybrid System for Forecasting Financial Time Series. Mena H. and Fuenmayor P. (2015). AESTIMATIO The IEB International Journal of Finance, 11:78-91. DOI:10.5605/IEB.11.3 |
[J6] |
Solving Matrix Equations on Multi-core and Many-core Architectures. Benner P., Ezzatti P., Mena H., Quintana-Ortí E.S. and Remón A. (2013). Algorithms, 6:857-870. DOI:10.3390/a6040857 |
[J5] |
Rosenbrock methods for solving differential Riccati equations. Benner P. and Mena H. (2013). IEEE Transactions on Automatic Control, 58(11): 2950-2956. DOI:10.1109/TAC.2013.2258495 |
[J4] |
HPC en simulación y control a gran escala. Benner P., Ezzatti P., Mena H., Quintana-Ortí E. S. and Remón A. (2013). Revista ELEMENTOS, 3( 3):1-27. ISSN: 2248-5252 |
[J3] |
On the Parameter Selection Problem in the Newton-ADI Iteration for Large Scale Riccati Equations. Benner P., Mena H. and Saak J. (2007). Electronic Transactions on Numerical Analysis, 29:136-149. ISSN 1068-9613 |
[J2] |
Remarks on nonlinear inhomogeneous elliptic problems arising in astrtophysics. Calahorrano M. and Mena H. (2005). Electronic Journal of Qualitative Theory of Differential Equations, 19:1-12. ISSN: 1417-3875 DOI: 10.14232/ejqtde.2005.1.19 |
[J1] |
Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophysics. Calahorrano M. and Mena H. (2004). Electronic Journal of Differential Equations, 49:1-10. ISSN: 1072-6691 |
Book Chapters
[BC4] |
The Stochastic LQR Optimal Control with Fractional Brownian Motion. Levajković T., Mena H. and Tuffaha A. (2017). Generalized Functions and Fourier Analysis. Operator Theory: Advances and Applications, 260:115-151. DOI: 10.1007/978-3-319-51911-1_8 |
[BC3] |
Innovative Integrators for Computing the Optimal State in LQR Problems. Csomós P. and Mena H. (2017). Numerical Analysis and Its Applications, Lecture Notes in Computer Science, 10187:269-276. DOI: 10.1007/978-3-319-57099-0_28 |
[BC2] |
Equations Involving Malliavin Derivative: A Chaos Expansion Approach. Levajković T. and Mena H. (2015). Pseudo-Differential Operators and Generalized Functions, Operator Theory: Advances and Applications, 245:199-216. DOI: 10.1007/978-3-319-14618-8 |
[BC1] |
On Deterministic and Stochastic Linear Quadratic Control Problems. Levajković T. and Mena H. (2015). Current Trends in Analysis and Its Applications, Trends in Mathematics, 2:315-322. . DOI:10.1007/978-3-319-12577-0 |
Refereed Articles in Conference Proceedings
[CA10] |
Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms. Benner P., Dufrechou E., Ezzatti P., Mena H., Quintana-Ortí E.S. and Remón A. (2017). Gervasi O. et al. (eds) Computational Science and Its Applications – ICCSA 2017. Lecture Notes in Computer Science, 10404. DOI: 10.1007/978-3-319-62392-4\_9 |
[CA9] |
Accelerating the resolution of generalized Lyapunov matrix equations on hybrid architectures. Bayá R., Decia I., Ezzatti P.and Mena H. (2016). 2016 International Conference on High Performance Computing and Simulation, HPCS 2016, 653-658. DOI: 10.1109/HPCSim.2016.7568397 |
[CA8] |
Damping optimization in vibrational systems based on amplitude. Denissen J., Koskela A., Mena H. and Tomljanovic Z. (2014) (Full paper). Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems MTNS, 1222-1227. ISBN: 978-90-367-6321-9 |
[CA7] |
An LDL factorization based ADI algorithm for solving large scale differential matrix equations. Lang N., Mena H. and Saak J. (2014). Proceedings in Applied Mathematics and Mechanics, 14(1):827–828. WILEY-VCH Verlag. |
[CA6] |
Solving Differential Riccati Equations on Multi-GPU Platforms. Benner P., Ezzatti P., Mena H., Quintana-Ortí E.S. and Remón A. (2011) (Full paper). In J. Vigo-Aguilar (Eds.), Proceedings of the CMMSE, 1:178-188. ISBN: 978-84-614-6167-7 |
[CA5] |
Numerical Solution of Differential Riccati Equations on Hybrid CPU-GPU Platforms. Benner P., Ezzatti P., Mena H., Quintana-Ortí E.S. and Remón A. (2010) (Full paper). Proceedings of ALAMA2010 - 2nd Meeting on Linear Algebra, Matrix Analysis, and Applications, 1-7. ISBN: 978-84-8363-544-5 |
[CA4] |
Retos computacionales en simulación y control de procesos industriales. Mena H. (2008) (Full paper). Proceedings of the IV Jornadas de Informática ISIC, 49-56. ISBN 978-9978-92-592-8 |
[CA3] |
Simulación numérica de circuitos eléctricos a gran escala. Mena H. and Saak J. (2009) (Full paper). XXII Jornadas de Ingeniería Eléctrica y Electrónica, 147-155. ISBN 978-9978-383-00-1 |
[CA2] |
Numerical Solution of Differential Riccati Equations arising in Optimal Control for parabolic PDEs. Benner P. and Mena H. (2007) Proceedings in Applied Mathematics and Mechanics : 7(1), Wiley InterScience. ISSN 1617-7061 |
[CA1] |
BDF Methods for Large-Scale Differentiall Riccati Equations. Benner P. and Mena H. (2004) (Full paper). In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, V. Blondel (Eds). Proceedings 16th International Symposium on Mathematical Theory of Network and Systems MTNS. ISBN 90-5682-517-8 |
Theses
[T3] |
Linear Quadratic Optimization of Stochastic Partial Differential Equations: Theory and Numerical Approximation. Habilitation Thesis, Department of Mathematics, University of Innsbruck, Austria. June 2016. |
[T2] |
Numerical Solution of Differential Riccati Equations Arising in Optimal Control Problems for Parabolic Partial Differential Equations. Dissertation, Department of Mathematics, Escuela Politecnica Nacional, Ecuador; partnership program with TU Berlin, Germany. August 2007. |
[T1] |
Soluciones multiples para cierto tipo de problemas elipticos no lineales que aparecen en Astrofisisca. Diploma Thesis, Department of Mathematics, Escuela Politecnica Nacional, Ecuador. March 2003. |
Other Publications
[OP4] |
Drugs, Herbicides, and Numerical Simulation. Benner P., Mena H. and Schneider R. (Full paper). Snapshots of modern Mathematics from Oberwolfach, No. 11/2013, 9 pages, (2014). DOI 10.14760/SNAP-2013-011-EN |
[OP3] |
Modelación de series económicas mediante métodos automáticos de regresión difusa. Cajamarca R. and Mena H. (Full paper). Analitika, Revista de Análisis Estadístico, 3(1) (2012), pp. 19-38. |
[OP2] |
Métodos automáticos de regresión difusa aplicados a datos económicos. Cajamarca R. and Mena H. Memorias del Primer Congreso Científico Internacional en Economía y Finanzas, ( 2009). |
[OP1] |
Inteligencia computacional en la modelación de series financieras: enfoque de la lógica difusa. Fuenmayor P. and Mena H. Memorias del Primer Congreso Científico Internacional en Economía y Finanzas, (2009). |