• E. Kalligiannaki, A. Chazirakis, A. Tsourtis, M.A. Katsoulakis, P. Plechac, and V. Harmandaris, Parametrizing coarse-grained models for molecular systems at equilibrium, EPJ ST, 225(8), 1347-1372, 2016, DOI: 10.1140/epjst/e2016-60145-x.

Keywords: Parametrizing coarse-grained models for molecular systems at equilibrium

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  • Soeren Wolfers, Fabio Nobile, Raul Tempone, Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Submitted arXiv 1609.00246, Sept 2016

Keywords: Sparse approximation of multilinear problems with applications to kernel-based methods in UQ

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  • C. Bayer, M. Siebenmorgen, R. Tempone, Smoothing the payoff for efficient computation of Basket option prices,  arXiv:1607.05572, 2016​.

Keywords: Basket option pricing, smoothing payoff

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  • R. Garra, E. Orsingher, M. Scavino, Some probabilistic properties of fractional point processes, Submitted arXiv:1604.05235, April 2016.

Keywords: Fractional point processes, Bernstein functions, Space-time Fractional Poisson processes, grey Brownian motion

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  • LFR Espath, AF Sarmiento, P Vignal, BON Varga, AMA Cortes, L Dalcin, VM Calo, Energy Exchange Analysis in Droplet Dynamics via the Navier–Stokes–Cahn–Hilliard Model, Journal of Fluid Mechanics, Apr 2016.

Keywords: Energy Exchange Analysis in Droplet Dynamics via the Navier–Stokes–Cahn–Hilliard Model

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  • H. G. Matthies, E. Zander, B. V. Rosić, A. Litvinenko, O. Pajonk, Inverse Problems in a Bayesian Setting, Chapter in the book Computational Methods for Solids and Fluids, edited by Adnan Ibrahimbegovic, Springer, 2016.

Keywords: Inverse Problems, Bayesian Setting

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  • H. Matthies, E. Zander, B. Rosic, A. Litvinenko​; ​​​Parameter Estimation via Conditional Expectation - A Bayesian Inversion, 2016.

Keywords: Parameter Estimation, Conditional Expectation, Bayesian Inversion

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  • I. Babuska, Z. Sawlan, M. Scavino, B. Szabo, R. Tempone, Bayesian inference and model comparison for metallic fatigue data, Computer Methods in Applied Mechanics and Engineering, Volume 304, 1 June 2016, Pages 171-196, ISSN 0045-7825​​​​.

Keywords: Metallic fatigue data; fatigue life prediction; random fatigue-limit models; maximum likelihood methods; Bayesian computational techniques for model calibration/ranking; predictive accuracy for Bayesian models.

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  • C. Ben Hammouda, A. Moraes, R. Tempone, Multilevel hybrid split-step implicit tau-leap, Numerical Algorithms, pp 1-34, June 2016.

Keywords: Stochastic reaction networks, Multilevel Monte Carlo, Split-step implicit

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  • A. Haji-Ali, F. Nobile, L. Tamellini, R. Tempone, Multi-index Stochastic Collocation convergence rates for random PDEs with parametric regularity. To appear in Foundations of Computational Mathematics. 2016

Keywords: Multi-index Stochastic Collocation convergence rates for random PDEs with parametric regularity

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  • A. Haji-Ali, F. Nobile, L. Tamellini, R. Tempone, Multi-Index Stochastic Collocation for random PDEs, Computer Methods in Applied Mechanics and Engineering​, 2016

Keywords: Multi-Index Stochastic Collocation for random PDEs

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  • F. Nobile, L. Tamellini, R. Tempone and F. Tesei, An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient, “Sparse Grids and Applications - Stuttgart 2014”, Lecture Notes in Computational Science and Engineering, Volume 109 2016, Springer

Keywords: An adaptive sparse grid algorithm with application to elliptic PDEs with lognormal diffusion coefficient

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  • Gabriela Malenova, Mohammad Motamed, Olof Runborg, Raul Tempone, A Sparse Stochastic Collocation Technique for High-Frequency Wave Propagation with Uncertainty, accepted for publication in Journal on Uncertainty Quantification, May 2016

Keywords: A Sparse Stochastic Collocation Technique for High-Frequency Wave Propagation with Uncertainty

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  • C. Bayer, A. Moraes, R. Tempone, P. Vilanova, An Efficient Forward-Reverse Expectation-Maximization Algorithm for Statistical Inference in Stochastic Reaction Networks, Stochastic Analysis and Applications, Volume 34, Issue 2, 2016

Keywords: Forward-reverse algorithm, Monte Carlo EM algorithm, inference for stochastic reaction networks, bridges for continuous-time Markov chains.

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  • Matteo Icardi, Gianluca Boccardo, Raul Tempone, On the predictivity of pore-scale simulations: estimating uncertainties with multilevel Monte Carlo, Advances in Water Resources, Feb. 2016

Keywords: pore-scale simulation, multilevel Monte Carlo, stochastic upscaling, uncertainty quantification

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  • Håkon Hoel, Kody J. H. Law, Raul Tempone, Multilevel ensemble Kalman filtering,  to appear in SIAM Journal on Numerical Analysis, 2016.​

Keywords: Multilevel ensemble Kalman filtering

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  • F. Ruggeri, Z. Sawlan, M. Scavino, R. Tempone, A hierarchical Bayesian setting for an inverse problem in linear parabolic PDEs with noisy boundary conditions, accepted for publication in Bayesian Analysis, April 2016

Keywords: linear parabolic PDEs, noisy boundary parameters, Bayesian inference, heat equation, thermal diffusivity

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  • A. Moraes, R. Tempone, and P. Vilanova. A multilevel adaptive reaction-splitting simulation method for stochastic reaction networks. SIAM Journal on Scientific Computing (SISC), Vol 38, Issue 4, 2016.​

Keywords: Error estimates, error control, control variates, weak approximation, hybrid algorithms, multilevel Monte Carlo, Chernoff tau-leap, reaction splitting

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  • A. Moraes, R. Tempone, P. Vilanova, Multilevel Hybrid Chernoff Tau-leap, BIT Numerical Mathematics, Volume 56, Issue 1, pp 189–239​. March 2016. 

Keywords: Error estimates, error control, control variates, weak approximation, hybrid algorithms, multilevel Monte Carlo, Chernoff tau-leap

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  • J. E. Castrillon-Candas, F. Nobile, R. F. Tempone, Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations, ​Accepted for publication in Computers and Mathematics with Applications, Jan. 2016

Keywords: Uncertainty Quantification, Stochastic Collocation, Stochastic PDEs, Finite Elements, Complex Analysis, Smolyak Sparse Grids.

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