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Total result(s) found: 99
  • Nadhir Ben Rached, Abla Kammoun, Mohamed-Slim Alouini, Raul Tempone , On the Efficient Simulation of Outage Probability in a Log-normal Fading Environment,IEEE Transactions on Communications  65 Issue: 6  , 2017​​
Keywords:
On the Efficient Simulation of Outage Probability in a Log-normal Fading Environment
Refereed Journals
  • F. Ruggeri, Z. Sawlan, M. Scavino, R. Tempone, A hierarchical Bayesian setting for an inverse problem in linear parabolic PDEs with noisy boundary conditions, Bayesian Analysis, Advance Publication, 12 May 2016. doi: 10.1214/16-BA1007
Keywords:
A hierarchical Bayesian setting for an inverse problem in linear parabolic PDEs with noisy boundary conditions
Refereed Journals
  • R. Lima, A. Novais, Symmetry Breaking in MILP Formulations for Unit Commitment Problems, Computers & Chemical Engineering, 85, p. 162-176., 2016
Keywords:
OR in Energy; Unit Commitment; MILP; Symmetry Breaking
Refereed Journals
  • N. Ben Rached, A. Kammoun, M. Alouini, R. Tempone, Unified Importance Sampling Schemes for Efficient Simulation of Outage Capacity over Generalized Fading Channels, Accepted for publication in IEEE Journal of Selected Topics in Signal Processing, 2015
Keywords:
Outage capacity, naive Monte Carlo, hazard rate twisting, Importance Sampling, asymptotic optimality, bounded relative error
Refereed Journals
  • Rita Ferreira, M. Luísa Mascarenhas, and Andrey Piatnitski, Spectral analysis in thin tubes with axial heterogeneities, EMS Publishing House, Volume 72, Issue 2, 2015
Keywords:
Spectral analysis, dimension reduction, homogenization, quantum waveguides
Refereed Journals
  • Olivier Le Maitre, Omar Knio, and Alvaro Moraes, Variance Decomposition in Stochastic SimulatorsThe Journal of Chemical Physics, Volume 142, Issue 24, 2015​
Keywords:
Variance Decomposition in Stochastic Simulators
Refereed Journals
  • N. Ben Rached, A. Kammoun, M.-S. Alouini, and R. Tempone, An Improved Hazard Rate Twisting Approach for the Statistic of the Sum of Subexponential Variates, Communications Letters, IEEE, Volume:19 Issue:1, 2015
Keywords:
Hazard rate twisting, asymptotic optimality, minmax approach, subexponential, twisting parameter, variance reduction
Refereed Journals
  • A. Malheiro, P. Castro, R. Lima, A. Estanqueiro,(2015). Integrated sizing and scheduling of Wind/PV/Diesel/Battery isolated systems, Renewable Energy, 83, 646-657. [doi: 10.1016/j.renene.2015.04.066]​
Keywords:
LCOE; Isolated hybrid systems; Sizing optimization; Renewable energies;
Refereed Journals
  • B. Djehiche, H. Tembine, R. Tempone, A Stochastic Maximum Principle for Risk-Sensitive Mean-Field-Type Control, To appear in IEEE Transactions on Automatic Control, VOL. 60, NO. 10, October 2015. ​​
Keywords:
Optimization and Control (math.OC); Systems and Control (cs.SY); Probability (math.PR); Risk Management (q-fin.RM)
Refereed Journals
  • A. Alabbasi, Z. Rezki, B. Shihada, Energy Efficient Resource Allocation for Cognitive Radios: A Generalized Sensing Analysis, to appear in  IEEE  Transactions on Wireless Communications, 2015.
Keywords:
Spectrum sharing, energy efficiency, resource allocation, spectrum sensing
Refereed Journals
  • L. Sboui, H. Ghazzai, Z. Rezki, M. Alouini, Achievable Rate of a Cognitive MIMO Multiple Access Channel with Multi-Secondary Users, to appear in  IEEE  Communications  Letters,  2015.​​
Keywords:
Achievable rate, mul-tiple secondary users, space alignment, underlay cognitive radio
Refereed Journals
  • Tomas Chacon Rebollo, Ben Mansour Dia, "A Variational Multi-Scale method with spectral approximation of the sub-scales: Application to 1-d convection-diffusion equation", Comput. Methods Appl. Mech. Engrg 285 (2015) 406-426.​​​
Keywords:
Variational Multiscale, Convection-Diffusion, Stabilization, Spectral Approximation
Refereed Journals
  • I. Mozolevski and S. Prudhomme, Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems, Computer Methods in Applied Mechanics and Engineering, Accepted (2014). 
Keywords:
Finite element method; Goal-oriented estimates; Quantity of interest; Dual problem; Asymptotically-exact error estimates
Refereed Journals
  • Z. Rezki, A. Khisti, M. Alouini, Ergodic Secret Message Capacity of the Wiretap Channel with Finite-Rate Feedback, IEEE  Transactions on Wirel ess Communications, vol.13,  no.6,  pp.  3364-3379, June 2014.
Keywords:
ARQ feedback, Secrecy capacity, capacity of fading channels, high-SNR, low-SNR, proactive feedback
Refereed Journals
  • A. Alabbasi , Z. Rezki, B. Shihada, ​Energy Efficiency and SINR Maximization Beamformers for Spectrum Sharing With Sensing Information, IEEE  Transactions on  Wirel ess Communications, vol. 13,  no.  9, pp.  5095-5106,  September  2014.
Keywords:
Cognitive radio, MIMO, beamforming, energy efficiency, resource allocation, spectrum sensing, spectrum sharing
Refereed Journals
  • Z. Rezki, A. Khisti, and  M. - S.  Alouini, On the ergodic secrecy capacity of the wiretap channel under imperfect main channel estimation, IEEE  Transactions on Communications, vol.  62, no.  10, pp.  3652-3664,  October 2014 (Among Most Downloaded TCOM Papers  in  October 2014).​​
Keywords:
Secrecy capacity, imperfect channel estimation, on-off signaling
Refereed Journals
  • Y. Shi, H. Bagci, and M. Lu, "On the Static Loop Modes in the Marching-on-in-Time Solution of the Time-Domain Electric Field Integral Equation", Antennas and Wireless Propagation Letters, IEEE  (Volume:13 ), 317 - 320, 2014.
Keywords:
Electric field integral equation, marching-on-in- time, numerical analysis, static loop modes, time domain
Refereed Journals
  • Nadhir Ben Rached, Fatma Benkhelifa, Abla Kammoun, Mohamed-Slim Alouini, and Raul Tempone, "Additional Results on the Hazard Rate Twisting-Based Simulation Approach", submitted to IEEE, 2014
Keywords:
Crude Monte Carlo, rare events, Importance Sampling, hazard rate twisting, asymptotically optimal, twisting parameter.
Refereed Journals
  • D. Gomes, R. Velho, M. T. Wolfram, Socio-economic applications of finite state mean field games.  To appear in Philosophical Transactions A.​
Keywords:
Finite state mean-field games, socio-economic models, numerical methods
Refereed Journals
  • D. Gomes, E. Pimentel, Local regularity for mean-field games in the whole space. To appear in Minimax Theory and its Applications.
Keywords:
Mean-field games, Hamilton-Jacobi equations, Fokker-Planck equation
Refereed Journals
  • Marwen Zorgui, Zouheir Rezki, Basel Alomair and Mohamed-Slim Alouini, On the Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels, in  Proceedings IEEE   Allerton Conference on Communication;  Control  and Computing  ( Allerton )2014, Monticello, IL,  USA, 1-3 October 2014. 
Keywords:
Secret-key agreement, outage probability, high- power, diversity multiplexing tradeoff.
Refereed Journals
  • Annunziato, M. , Borzì, A. , Nobile, F. and Tempone, R., On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks. Applied Mathematics, Vol.5 No.16, September 2014. DOI: 10.4236/am.2014.516239
Keywords:
Hamilton-Jacobi-Bellman Equation, Fokker-Planck Equation, Optimal Control Theory, Stochastic Differential Equations, Hybrid Systems
Refereed Journals
  • Lokman Sboui, Zouheir Rezki, and Mohamed-Slim Alouini, Achievable Rate of Spectrum Sharing Cognitive Radio Systems over Fading Channels at Low Power Regime IEEE  Transactions  on Wireless  Communications, vol.  13,  no.  11,  pp.  6461-6473, November 2014.​
Keywords:
Underlay Cognitive Radio, Achievable Rate, Low power regime, Nakagami fading, partial CSI feedback.
Refereed Journals
  • Hakon Hoel and Henrik Nyberg, "An Extension of Clarke’s Model With Stochastic Amplitude Flip Processes", IEEE Transactions on Communications, 2014.

Keywords:
Multipath channels, Gaussian processes, Ray tracing.
Refereed Journals
  • Viet Ha Hoang, K. J. H. Law, and A.M. Stuart, "Determining white noise forcing from Eulerian observations in the Navier-Stokes equation", Stochastic Partial Differential Equations: Analysis and Computations, June 2014, Volume 2, Issue 2, pp 233-261​​
Keywords:
Bayesian inversion, Navier-Stokes equation, White noise forcing
Refereed Journals
  • K. J. H. Law, T. W. Neely, P. G. Kevrekidis, B. P. Anderson, A. S. Bradley, and R. Carretero-González, Dynamic and energetic stabilization of persistent currents in Bose-Einstein condensates. Phys. Rev. A 89, 053606 – Published 9 May 2014
Keywords:
Bose-Einstein condensate (BEC), vortices, bifurcation and stability analysis
Refereed Journals
  • I. Sraj, M. Iskandarani, C. Thacker, A. Srinivasan, O.M. Knio "Drag Parameter Estimation Using Gradients and Hessian from a Polynomial Chaos Model Surrogate" Monthly Weather Review 142, 933-941, 2014.
Keywords:
Atmosphere-ocean interaction, Hurricanes, Ocean circulation, Bayesian methods, Inverse methods, Optimization
Refereed Journals
  • L. Tamellini, O. Le Maître and A. Nouy, Model reduction based on Proper Generalized Decomposition for the stochastic steady incompressible Navier-Stokes equations, SIAM J. Sci. Comp., (in press)
Keywords:
Uncertainty Quantification, Stochastic Navier-Stokes equations, Galerkin method, Model Reduction, Reduced Basis
Refereed Journals
  • Hakim Ghazzai, Elias Yaacoub, Mohamed-Slim Alouini, and Adnan Abu-Dayya, Optimized Smart Grid Energy Procurement for LTE Networks Using Evolutionary Algorithms, IEEE Transactions on Vehicular Technology, vol. 63, no. 9, Nov. 2014​
Keywords:
Green Network, Energy Efficiency, BS Sleeping Strategy, Smart Grid, Evolutionary Algorithms
Refereed Journals
  • Dario Bauso, Ben Mansour Dia, Boualem Djehiche, Hamidou Tembine, Raul Tempone, Mean Field Games for Marriage,  PLOS ONE 9(5): e94933, 2014.​
Keywords:
Society Influence, Marriage, Mean-Field
Refereed Journals
  •  H. Tembine, Nonasymptotic mean-field games,  IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, accepted and to appear  2014.
Keywords:
Nonasymptotic Mean-Field Games, mean-field approximation in finite regime
Refereed Journals
  • R. Ferreira and D. Gomes, On the convergence of finite state mean-field games through Gamma-convergence. J. Math. Anal. Appl. 418 (2014), no. 1, 211–230.
Keywords:
Finite state mean-field games, Gamma-convergence, calculus of variations
Refereed Journals
  • Ben Mansour Dia ''Exponential Stability of Shallow water Equations with Time Arbitrary Time Dependent Action''  Int.  J.  Dynam. Control (2014)

Keywords:
Shallow water equations, Feedback control, Lyapunov stability, Riemann invariants
Refereed Journals
  • Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Philipp Wähnert, Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats. Special Issue of CAMWA "High-Order Finite Element Approximation for PDEs", Volume 67 (Issue 4), March 2014
Keywords:
Tensor approximation, Stochastic PDEs, Stochastic Galerkin matrix, Low-rank tensor formats, Uncertainty quantification
Refereed Journals
  • Zouheir Rezki and Mohamed-Slim Alouini, On the  Outage Capacity of the  Block  Fading Channel at Low-Power Regime, in Proceedings International Symposium on Information Theory  ( ISIT '2014),  Hanolulu, HI, USA,  June 29-July 4 2014.
Keywords:
Outage capacity, low-power, block-fading chan- nels, CSI-TR.
Refereed Journals
  • D. Gomes H. Sanchez-Morgado, On the stochastic Evans-Aronsson problem, Transactions of the AMS. 366 (2014), no. 2, 903-929. 

Keywords:
Stochastic Evans-Aronsson, Mean-field games, Non-coercive variational problems
Refereed Journals
  • D. Gomes, J. SaudeMean field games models—a brief survey. Dyn. Games Appl. 4 (2014), no. 2, 110–154.
Keywords:
Mean field games, mean-field methods, differential games
Refereed Journals
  • D. Gomes, S. Patrizi and V. Voskanyan, On the existence of stationary solutions of extended mean-field games. D. Gomes, S. Patrizi and V. Voskanyan. Nonlinear Analysis: Theory, Methods & Applications, Volume 99, April 2014, Pages 49–79


Keywords:
Extended mean field games, Stationary mean-field games
Refereed Journals
  • D. Gomes,  L. Nurbekyan, On the minimizers of Calculus of Variations problems in Hilbert Spaces,

    To appear in Calculus and Variations and Partial Differential Equations.


Keywords:
Calculus of Variations, Hilbert Spaces, Minimizers
Refereed Journals
  • M. Schick, V. Heuveline and O.P. Le Maître, A Newton-Galerkin method for fluid flow exhibiting uncertain periodic dynamics, J. Uncertainty Quantification, SIAM-ASA Journal of Uncertainty Quantification, Vol 2, pp. 153-173, (2014).
Keywords:
uncertainty quantification, stochastic limit-cycle, stochastic Navier-Stokes equations, stochastic period, polynomial chaos, long term integration
Refereed Journals
  • Fatma Benkhelifa, Abdoulaye Tall, Zouheir Rezki, Mohamed-Slim Alouini, On the Low SNR Capacity of MIMO Fading Channels with Imperfect Channel State Information, IEEE   Transactions  on  Communications, vol. 62, no.  6, pp.  1921-1930, June 2014 (Among Most Downloaded TCOM Papers  in  June 2014).
Keywords:
Ergodic capacity, MIMO, CSI-T, CSI-R, channel estimation, Rayleigh fading channel, Rician fading channel, low SNR.
Refereed Journals
  • H. Tembine, Q. Zhu, T. Basar, Risk-Sensitive Mean-Field Games, IEEE Transactions on Automatic Control, volume 59, Issue 4, April 2014.

Keywords:
Risk-Sensitive, Mean-Field Games, Risk-Seeking, Risk-Averse
Refereed Journals
  • F. Cirak, Q.Long, K.Bhattacharya, M.Warner, Computational analysis of liquid crystalline elastomer membranes: changing Gaussian curvature without stretch energy. International Journal of Solids and Structures. 51 (1): 144-153 (2014)
Keywords:
Liquid crystalline elastomer, Nematic elastomer, Soft material, Non-developable surface, Finite elements
Refereed Journals
  • Z. Rezki, and M. - S. Alouini, On the Capacity of Multiple Access and Broadcast Fading Channels with Full Channel State Information at Low SNR, IEEE  Transactions  on Wireless  Communications, vol.  13,  no.  1,  pp.  464-475,  January 2014.
Keywords:
Multi-access, broadcast, ergodic capacity, capacity region, low-SNR, low power, fading channel, on-off signaling.
Refereed Journals
  • A. Moraes, F. Ruggeri, R. Tempone, and P. Vilanova. Multiscale modeling of wear degradation in cylinder liners. Multiscale Modeling & Simulation, 12(1):396-409, 2014.
Keywords:
Pure jump processes, Multiscale approximation, Indirect inference, Wear processes, Master Equation.
Refereed Journals
  • K. J. H. Law. Proposals Which Speed-Up Function-Space MCMC. Journal of Computational and Applied Mathematics, 262, 127-138 (2014).
Keywords:
Statistics - Methodology, Mathematics - Dynamical Systems, Physics - Data Analysis, Statistics and Probability
Refereed Journals
  • K. J. H. Law, A. Shukla, and A. M. Stuart. Analysis of the 3DVAR Filter for the Partially Observed Lorenz ’63 Model.  Discrete and Continuous Dynamical Systems A 34 1061-1078 (2014).
Keywords:
Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Physics - Data Analysis, Statistics and Probability
Refereed Journals
  • Ivo Babuska, Mohammad Motamed, and Raul Tempone, A Stochastic Multiscale Method for the Elastodynamic Wave Equation Arising from Fiber Composites, Computer Methods in Applied Mechanics and Engineering, Volume 276, 1 July 2014, Pages 190–211
Keywords:
Fiber composites, multiscale simulation, stochastic elastic wave equation, uncertainty quantification
Refereed Journals
  • G. Migliorati, F. Nobile, E. von Schwerin, and R. Tempone. Analysis of the discrete L2 projection on polynomial spaces with random evaluations. Foundations of Computational Mathematics, June 2014, Volume 14, Issue 3, pp 419-456
Keywords:
Approximation theory, Error analysis, Multivariate polynomial approximation, Nonparametric regression, Noise-free data, Generalized polynomial chaos, Point collocation
Refereed Journals
  • J. Beck, F. Nobile, L. Tamellini, R. Tempone,  Convergence of quasi-optimal stochastic Galerkin methods for a class of PDEs with random coefficientsComputers & Mathematics with Applications. Volume 67, Issue 4, March 2014, Pages 732–751.
Keywords:
Uncertainty Quanti
Refereed Journals
  • J. Beck, F. Nobile, L. Tamellini, R. Tempone A quasi-optimal sparse grids procedure for groundwater flows. Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012. Selected papers from the ICOSAHOM conference June 25-29, 2012, Gammarth, Tunisia. Lecture Notes in Computational Science and Engineering Volume 95, pp. 1-16, 2014.
Keywords:
Uncertainty Quantification
Refereed Journals
  • Nowak, W., Litvinenko, A. Kriging and Spatial Design Accelerated by Orders of Magnitude: Combining Low-Rank Covariance Approximations with FFT-Techniques, Mathematical Geosciences, Vol. 45, Num. 4, pp 411--435, Springer 2013.​​​
Keywords:
Low-rank tensor approximation, Spectral methods, Efficient geostatistical estimation, Geostatistical optimal design
Refereed Journals
  • I. Sraj, M. Iskandarani, A. Srinivasan, W.C. Thacker, J. Winokur, A. Alexanderian, C.-Y. Lee, S.S. Chen, O.M. Knio "Bayesian Inference of Dependence of Drag Coeficient on Wind Speed using AXBT data from Typhoon Fanapi" Mon. Wea. Rev. 141, 2347-2367, (2013)
Keywords:
Bayesian Inference of Dependence of Drag Coeficient on Wind Speed using AXBT data from Typhoon Fanapi
Refereed Journals
  • F. Rizzi, R. Jones, B.J. Debusschere, O.M. Knio  "Uncertainty Quanti fication in MD simulations of concentration driven ionic flow through a silica nanopore. Part I: sensitivity to physical parameters of the pore" J. Chem. Phys., 138, 194104, (2013).
Keywords:
Uncertainty Quanti fication in MD simulations of concentration driven ionic flow through a silica nanopore. Part I: sensitivity to physical parameters of the pore
Refereed Journals
  • F. Rizzi, R. Jones, B.J. Debusschere, O.M. Knio  "Uncertainty quanti fication in MD simulations of concentration driven ionic flow through a silica nanopore. Part II: uncertain potential parameters" J. Chem. Phys. 138, 194105, (2013).
Keywords:
Uncertainty quantifi cation in MD simulations of concentration driven ionic flow through a silica nanopore. Part II: uncertain potential parameters
Refereed Journals
  • J. Winokur, P. Conrad, I. Sraj, O.M. Knio, A. Srinivasan, W.C. Thacker, Y. Marzouk, Mohamed Iskandarani "A Priori Testing of Sparse Adaptive Polynomial Chaos Expansions Using an Ocean General Circulation Model Database" Comput. Geosci. 17, 899-911, (2013).
Keywords:
Uncertainty quantification, Polynomial chaos, Sparse Smolyak quadrature, Adaptive sampling, Ocean modeling
Refereed Journals
  • Chang Wang, K. J. H. Law, Panayotis. G. Kevrekidis, and Mason A. Porter, Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates. Physical Review A 87 023621 (2013).
Keywords:
Bose-Einstein Condensates, dark solitons
Refereed Journals
  • Litvinenko, Alexander and Matthies, HermannG. and El-Moselhy, Tarek A., "Sampling and Low-Rank Tensor Approximation of the Response Surface", Monte Carlo and Quasi-Monte Carlo Methods 2012, Springer Proceedings in Mathematics & Statistics Volume 65, 2013, pp 535-551

Keywords:
Low-rank response surface, update of surrogate, PCE, low-rank update, uncertainties in aerodynamics, uncertainty quantification
Refereed Journals
  • Bojana V. Rosić, Anna Kučerová, Jan Sýkora, Oliver Pajonk, Alexander Litvinenko, Hermann G. Matthies, Parameter Identification in a Probabilistic Setting. Engineering Structures, Volume 50, Pages 179–196, May 2013.

Keywords:
Parameter identification, Non-Gaussian Bayesian update, Linear Bayes, Kalman filter, Polynomial chaos
Refereed Journals
  • F. Cagnetti, D. Gomes, H. Tran, Adjoint methods for obstacle problems and weakly coupled systems of PDE,

    ESAIM COCV. Volume 19, issue 03, July 2013. DOI 10.1051/cocv/2012032.

Keywords:
Adjoint methods, cell problems, Hamilton − Jacobi equations, obstacle problems, weakly coupled systems, weak KAM theory
Refereed Journals
  • D. Gomes, J. Mohr and R. Sousa, Continuous time finite state space mean-field games, 

    Appl. Math. and Opt., Volume 68, Issue 1 (2013), pp 99-143.

Keywords:
Finite state mean-field games, mean field games, mean field limit
Refereed Journals
  • D. Gomes, G. Terrone , Aubry-Mather theory for discontinuous Lagrangians,  To appear NoDEA. DOI: 10.1007/s00030-013-0243-0.


Keywords:
Discontinuous Lagrangians, Action minimizing measures, Hamilton–Jacobi equations, Viscosity solutions
Refereed Journals
  • F. Cagnetti, D. Gomes, H. Mitake, and H. Tran, A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians, 

    Annales de l’Institut Henri Poincare. DOI 10.1016/j.anihpc.2013.10.005.

Keywords:
Large-time behavior, Hamilton–Jacobi equations, Degenerate parabolic equations, Nonlinear adjoint methods, Viscosity solutions
Refereed Journals
  • D. Gomes, V. Voskanyan, Extended mean field games. To appear SIAM J. Cont. and Opt.

Keywords:
mean field games, random variables, velocity field dependence
Refereed Journals
  • J.-W. Kim, D. Kim, W.B. Lindquist, A re-examination of throats, Water Resour. Res., Volume 49, Issue 11, pp 7615–7626, 2013

Keywords:
porous media, throats, drainage, pore networks
Refereed Journals
  • D. Kim and W.B. Lindquist, Effects of network dissolution changes on pore-to-core upscaled reaction rates for kaolinite and anorthite reactions under acidic conditions, Water Resour. Res., Volume 49, Issue 11, pp 7575–7586, 2013

Keywords:
upscaling, reaction rates, network flow models, dissolution
Refereed Journals
  • P. Sochala, O.P. Le Maître. Polynomial Chaos expansion for subsurface flows with uncertain soil parameters. Advances in Water Resources, Volume 62, Part A, December 2013, Pages 139-154
Keywords:
Uncertainty quantification, Global sensitivity analysis, Polynomial Chaos expansions, Richards’ equation, Non-intrusive spectral decomposition
Refereed Journals
  • A. Alexanderian, F. Rizzi, M.Rathinam, O.P. Le Maître and O.M. Knio. Preconditioned Bayesian Regression for Stochastic Chemical Kinetics, Journal of Scientific Computing, 58:3, pp. 592-626, (2014).
Keywords:
Polynomial chaos, Bayesian regression, Preconditioner, Stochastic simulation algorithm, Chemical kinetics
Refereed Journals
  • Rebecca E. Morrison, Corey M. Bryant, Gabriel Terejanu, Serge Prudhomme, Kenji Miki. Data partition methodology for validation of predictive models. Computers & Mathematics with Applications, Volume 66, Issue 10, December 2013, Pages 2114–2125.
Keywords:
Cross-validation, Calibration, Parameter estimation, Inverse problems, Quantity of interest
Refereed Journals
  • Q. Zhu, H. Tembine, and T. Basar. Evolutionary games for multiple access control. Advances in Dynamic Game Theory and Applications, Annals of Dynamic Games, vol. 12, Birkhäuser, 2013, pp. 39-72.
Keywords:
Evolutionary Games, Multiple Access Control in Wireless Networks
Refereed Journals
  • T. W. Neely, A. S. Bradley, E. C. Samson, S. J. Rooney, E. M. Wright, K. J. H. Law, R. Carretero-González, P. G. Kevrekidis, M. J. Davis, and B. P. Anderson, "Characteristics of two-dimensional quantum turbulence in a compressible superfluid", Phys. Rev. Lett. 111, 235301 (2013) [6 pages]
Keywords:
2d quantum turbulence, inverse energy cascade, BEC, compressible superfluid
Refereed Journals
  • K. Sirenko, Y. Sirenko, and H. Bagci, Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions, in Proc. IEEE Int. Symp. Antennas Propag., July 2013.
Keywords:
Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions
Refereed Journals
  • A. C. Yucel, H. Bagci, and E. Michielssen, Statistical characterization of electromagnetic wave propagation in mine environments, Antennas and Wireless Propagation Letters, IEEE,   Volume:12, 1602 - 1605, 2013.
Keywords:
Fast Fourier transform and fast multipole, method (FMM-FFT), frequency-domain analysis, integral equations, multi-element (ME), probabilistic collocation (PC), uncertainty quantification, wave propagation in mine environments
Refereed Journals
  • H. A. Ulku, H. Bagci, and Eric Michielssen, Explicit solution of the time domain magnetic field integral equation using a predictor-corrector scheme, IEEE Trans. Antennas Propag., vol.61, no.8, pp. 4120-4131, August 2013.
Keywords:
Explicit solvers, magnetic field integral equation (MFIE),marching on-in-time (MOT), predictor-corrector scheme, stability analysis, time-domain analysis, transient analysis
Refereed Journals
  • Ben Mansour Dia, Jesper Oppelstrup, Boundary feedback control of 2D shallow water equations, International Journal of Dynamics and Control, volume 1, pages 41-53,  2013.

Keywords:
2-D shallow water equations , Water management, Boundary control, Symmetrization
Refereed Journals
  • M. A. Iglesias, K. J. H. Law and A. M. Stuart. Ensemble Kalman Methods for Inverse Problems.  Inverse Problems 29 045001 (2013)
Keywords:
Filters, Numerical simulation, solution of equations, Velocity measurements, Inverse problems, Data analysis: algorithms and implementation
Refereed Journals
  • M. Dashti, K. J. H. Law, A.M. Stuart and J. Voss.  Map Estimators for Bayesian Nonparametrics.  Inverse Problems, 29 095017 (2013).
Keywords:
Probability, Bayesian non-parametrics, Inverse problems
Refereed Journals
  • D. Bloemker, K. J. H. Law, A.M. Stuart, and K. Zygalakis. Accuracy and Stability of The Continuous Time 3DVAR Filter for The Navier-Stokes Equation.  Nonlinearity 26 2193 (2013).

Keywords:
Probability, Analysis of PDEs, Optimization and Control
Refereed Journals
  • Marco A. Iglesias, K. J. H. Law, and Andrew M. Stuart. Evaluation of Gaussian approximations for data assimilation in reservoir models. Computational Geosciences, 17:5, 851-885 (2013).
Keywords:
Data assimilation, Reservoir characterization, Uncertainty quantification, Inverse modelling
Refereed Journals
  • Björk, T.; Szepessy, A.; Tempone, R.; Zouraris, G. E. Monte Carlo Euler approximations of HJM term structure financial models. BIT 53 (2013), no. 2, 341–383.

Keywords:
HJM model, Option price, Bond market, Stochastic differential equations, Monte Carlo methods, A priori error estimates, A posteriori error estimates
Refereed Journals
  • Y. Shie, H. Bagci, and M. Lu. On the Internal Resonant Modes in Marching-on-in-Time Solution of the Time Domain Electric Field Integral Equation. IEEE Trans. Antennas Propag., vol.61, no.8, pp. 4389-4392, August 2013.
Keywords:
Electric field integral equation, time domain, marching-on-in-time, null space, internal resonant modes, numerical analysis
Refereed Journals
  • M. A. Salem and H. Bagci. The behavior of obliquely incident vector Bessel beams at planar interfaces. J. Opt. Soc. Am. A, vol. 30, no. 6, pp. 1172-1178, June 2013.
Keywords:
Bessel beams, localized electromagnetic wave propagation, planar interface
Refereed Journals
  • A. C. Yucel, H. Bagci, and E. Michielssen. An Adaptive Multi-Element Probabilistic Collocation Method For Statistical EMC/EMI Characterization. IEEE Transactions on Electromagnetic Compatibility, 13 June 2013.
Keywords:
Adaptive algorithm, electromagnetic compatibility and interference (EMC/EMI), generalized polynomial chaos (gPC), multi-dimensional integral, multi-element (ME), probabilistic collocation (PC), sparse grid (SG), tensor product (TP), tolerance analysis
Refereed Journals
  • ​Alonso Silva, Hamidou Tembine, Eitan Altman, Merouane Debbah, Optimum and equilibrium in assignment problems with congestion: mobile terminals association to base stations, IEEE Transactions on Automatic Control, 2013
Keywords:
optimal transport theory, static mean field game, optimal placement, cell formation
Refereed Journals
  • Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R. Approximation of quantities of interest in stochastic PDEs by the random discrete L2 projection on polynomial spaces. SIAM J. Sci. Comput., 35(3), A1440-A1460, 2013​

Keywords:
PDE stochastic data, discrete least squares, polynomial approximation
Refereed Journals
  • Julio E. Castrillon-Candas, Jun Li, Victor Eijkhout. A discrete adapted hierarchical basis solver for radial basis function interpolation. BIT Numerical Mathematics, Volume 53, Issue 1 (2013), Page 57-86
Keywords:
Radial basis function, Interpolation, Hierarchical basis, Integral equations, Fast summation methods, Stable completion, Lifting, Generalized least squares, Best linear unbiased estimator
Refereed Journals
  • K. Sirenko, M. Liu, and H. Bagci. Incorporation of exact boundary conditions into a discontinuous Galerkin finite element method for accurately solving 2D time-dependent Maxwell equations. IEEE Transactions on Antennas and Propagation,  Vol 61, Issue 1, Page 472-477, 2013.
Keywords:
Exact absorbing boundary conditions, numerical analysis, time domain analysis, time domain discontinuous Galerkin finite element method, waveguides
Refereed Journals
  • Motamed, Mohammad; Nobile, Fabio; Tempone, Raúl A stochastic collocation method for the second order wave equation with a discontinuous random speed. Numer. Math., Vol. 123, No. 3, p. 493-536, 2013. 

Keywords:
Stochastic PDEs, Uncertainty Quantification, Sparse Grids, Wave Equation, Numerical Analysis
Refereed Journals
  • Long, Quan; Scavino, Marco; Tempone, Raúl; Wang, Suojin Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations. Comput. Methods Appl. Mech. Engrg. 259 (2013), 24–39.

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Keywords:
Bayesian statistics, Information gain, Laplace approximation, Monte Carlo sampling, Sparse quadrature, Uncertainty quantification, Experimental design
Refereed Journals
  • W.C. Thacker, A. Srinivasan, M. Iskandarani, O.M. Knio, M. Le Henaff "Propagating boundary uncertainties using polynomial expansions" Ocean Modelling 43-44, 52-63, (2012).
Keywords:
Propagating boundary uncertainties using polynomial expansions
Refereed Journals
  • M. Salloum, A. Alexanderian, O.P. Le Maitre, H.N. Najm, O.M. Knio "Simplifi ed CSP Analysis of a Stiff Stochastic ODE System" Comput. Methods Appl. Mech. Engrg. 217, 121-138, (2012).
Keywords:
Simplifi ed CSP Analysis of a Stiff Stochastic ODE System
Refereed Journals
  • A. Alexanderian, J. Winokur, I. Sraj, A. Srinivasan, M. Iskandarani, W.C. Thacker, O. Knio "Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach" Comput. Geosci. 16, 757-778, (2012).
Keywords:
Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach
Refereed Journals
  • F. Rizzi, H.N. Najm, B.J. Debusschere, K. Sargsyan, M. Salloum, H. Adalsteinsson, O.M. Knio "Uncertainty Quantifi cation in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters" Multiscale Modelling & Simulation 10, 14601492, (2012).
Keywords:
Uncertainty Quantifi cation in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters
Refereed Journals
  • F. Rizzi, H.N. Najm, B.J. Debusschere, K. Sargsyan, M. Salloum, H. Adalsteinsson, O.M. Knio "Uncertainty Quantifi cation in MD Simulations. Part I: Forward Propagation" Multiscale Modelling & Simulation 10, 14281459, (2012).
Keywords:
Uncertainty Quantifi cation in MD Simulations. Part I: Forward Propagation
Refereed Journals
  • D. Gomes, E. Oliveira, Mather problem for stationary Lagrangians,

    S. Paulo Math. Journal,  (2012), no. 2, 301–334

Keywords:
Aubry-Mather theory, Stationary Lagrangians, Stationary Viscosity Solutions
Refereed Journals
  • D. Gomes, L. Nurbekyan, Lagrangian dynamics and a weak KAM theorem on the d-infinite dimensional torus, Dokl. Nats. Akad. Nauk Armen. 112 (2012), no. 2, 152-159.
Keywords:
infinite dimensional weak KAM, infinite dimensional Hamilton-Jacobi equations, Aubry-Mather theory
Refereed Journals
  • ​​​M. Khan, H. Tembine, A. Vasilakos, Game Dynamics and Cost of Learning in Heterogeneous 4G Networks, JSAC, IEEE Journal on Selected Areas in Communications, Vol. 30, Issue 1, pp. 198-213, 2012
Keywords:
Game Dynamics, Cost of Learning, Heterogeneous Networks
Refereed Journals
  • Khan, M.A. , Tembine, H., Vasilakos, A.V., Evolutionary coalitional games: design and challenges in wireless networks, IEEE  Wireless Communications,  April 2012, Volume: 19, Issue: 2 , Page(s): 50 - 56
Keywords:
evolutionary coalitional games, distributed strategic learning, global optima, fair solution, CODIPAS learning
Refereed Journals
  • Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. Math. Models Methods Appl. Sci. 22 (2012), no. 9, 1250023, 33 pp.

Keywords:
Uncertainty quantification, PDEs with random data, elliptic equations, multivariate polynomial approximation, best M-terms polynomial approximation, stochastic Galerkin methods, Smolyak approximation, sparse grids, stochastic collocation methods
Refereed Journals