On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods
Refereed Journals Year: 2012
Authors: J. Beck, Raul Tempone, Fabio Nobile, L. Tamellini
  • 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
Evolutionary coalitional games: design and challenges in wireless networks
Refereed Journals Year: 2012
Authors: M. Khan, H. Tembine, A. Vasilakos
  • evolutionary coalitional games
  • Distributed Strategic Learning
  • Global Optima
  • fair solution
  • CODIPAS learning
Game Dynamics and Cost of Learning in Heterogeneous 4G Networks
Refereed Journals Year: 2012
Authors: M. Khan, H. Tembine, A. Vasilakos
  • Game Dynamics
  • Cost of Learning
  • Heterogeneous Networks
Lagrangian dynamics and a weak KAM theorem on the d-infinite dimensional torus
Refereed Journals Year: 2012
Authors: D. Gomes, L. Nurbekyan
  • infinite dimensional weak KAM
  • infinite dimensional Hamilton-Jacobi equations
  • Aubry-Mather theory
Mather problem for stationary Lagrangians
Refereed Journals Year: 2012
Authors: D. Gomes, E. Oliveira
  • Aubry-Mather theory
  • Stationary Lagrangians
  • Stationary Viscosity Solutions
Uncertainty Quantifi cation in MD Simulations. Part I: Forward Propagation
Refereed Journals Year: 2012
Authors: 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
Uncertainty Quantifi cation in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters
Refereed Journals Year: 2012
Authors: 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
Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach
Refereed Journals Year: 2012
Authors: A. Alexanderian, J. Winokur, I. Sraj, A. Srinivasan, M. Iskandarani, W.C. Thacker, O.M. Knio
  • Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach
Simpli fied CSP Analysis of a Stiff Stochastic ODE System
Refereed Journals Year: 2012
Authors: M. Salloum, A. Alexanderian, O.P. Le Mai Tre, H.N. Najm, O.M. Knio
  • Simplifi ed CSP Analysis of a Stiff Stochastic ODE System
Propagating boundary uncertainties using polynomial expansions
Refereed Journals Year: 2012
Authors: W.C. Thacker, A. Srinivasan, M. Iskandarani, O.M. Knio, M. Le Henaff
  • Propagating boundary uncertainties using polynomial expansions
Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations
Refereed Journals Year: 2013
Authors: Quan Long, M. Scavino, Raul Tempone, Wang, Suojin
  • Bayesian statistics
  • Information gain
  • Laplace approximation
  • Monte Carlo sampling
  • Sparse quadrature,
  • Uncertainty Quantification
A stochastic collocation method for the second order wave equation with a discontinuous random speed
Refereed Journals Year: 2013
Authors: Mohammad Motamed, Fabio Nobile, Raul Tempone
  • Stochastic PDEs
  • Uncertainty Quantification
  • Sparse grids
  • Wave Equation
  • Numerical Analysis
Incorporation of exact boundary conditions into a discontinuous Galerkin finite element method for accurately solving 2D time-dependent Maxwell equations
Refereed Journals Year: 2013
Authors: K. Sirenko,, M.Liu, H. Bagci
  • Exact absorbing boundary conditions
  • Numerical Analysis
  • time domain discontinuous Galerkin finite element method
  • waveguides
A discrete adapted hierarchical basis solver for radial basis function interpolation
Refereed Journals Year: 2013
Authors: Julio E. Castrillon-Candas, Jun Li, Victor Eijkhout
  • Radial basis function
  • Interpolation
  • Hierarchical basis
  • integral equations
  • Fast summation methods
  • Stable completion
  • Lifting
  • Generalized least squares
  • Best linear unbiased estimator
Approximation of quantities of interest in stochastic PDEs by the random discrete L2 projection on polynomial spaces
Refereed Journals Year: 2013
Authors: G. Migliorati, F. Nobile, E. Von Schwerin, R. Tempone
  • PDE stochastic data
  • discrete least squares
  • polynomial approximation
Optimum and equilibrium in assignment problems with congestion: mobile terminals association to base stations
Refereed Journals Year: 2013
Authors: Alonso Silva, Hamidou Tembine, Eitan Altman, Merouane Debbah
  • optimal transport theory
  • static mean field game
  • optimal placement,
  • cell formation
An Adaptive Multi-Element Probabilistic Collocation Method For Statistical EMC/EMI Characterization
Refereed Journals Year: 2013
Authors: A. C. Yucel, H. Bagci, E. Michielssen
  • 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
The behavior of obliquely incident vector Bessel beams at planar interfaces
Refereed Journals Year: 2013
Authors: M. A. Salem, H. Bagci
  • Bessel beams
  • localized electromagnetic wave propagation
  • planar interface
On the Internal Resonant Modes in Marching-on-in-Time Solution of the Time Domain Electric Field Integral Equation
Refereed Journals Year: 2013
Authors: Y. Shie, H. Bagci, M. Lu
  • Electric field integral equation
  • time domain
  • marching-on-in-time,
  • null space
  • internal resonant modes
  • Numerical Analysis
Monte Carlo Euler approximations of HJM term structure financial models
Refereed Journals Year: 2013
Authors: Björk, T., A. Szepessy, R. Tempone, Zouraris G.E
  • HJM model
  • Option price
  • Bond market
  • Stochastic Differential Equations
  • Monte Carlo methods
  • A priori error estimates
  • a posteriori error estimates