• I. Babuska, F. Nobile and R. Tempone. ”Formulation of the Static Frame Problem”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 29-32, pp. 2496-2499, (May 2008).

Keywords: Model validation, Uncertainty quantification, Failure probability

Read more                                                                                           Refereed Journals

  • K. J. Dowding, J. Red-Horse, R. G. Hills, T. L. Paez, I. Babuska and R. Tempone.”Validation Challenge Workshop Summary”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 29-32, pp. 2381-2384, (May 2008).

Keywords: Validation Challenge Workshop Summary

Read more                                                                                           Refereed Journals

  • I. Babuska, F. Nobile and R. Tempone. ”A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 29-32, pp. 2517-2539, (May 2008).

Keywords: Model validation; Uncertainty quantification; Bayesian updates; Failure probability

Read more                                                                                                Refereed Journals

  • I. Babuska and R. Tempone. ”Static Frame Challenge Problem: Summary”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issues 29-32, pp. 2572-2577, (May 2008).

Keywords: Model validation; Uncertainty quantification; Failure probability

Read more                                                                                                 Refereed Journals

  • Mordecki, E.; Szepessy, A.; Tempone, R.; Zouraris, G. E. "Adaptive weak approximation of diffusions with jumps." SIAM J. Numer. Anal. 46 (2008), no. 4, 1732–1768.​

Keywords: diffusions with jumps, weak approximation, error control, Euler–Maruyama method, a posteriori error estimates, backward dual functions

Read more | Website | Download Document                                           Refereed Journals

  • Hills, Richard G.; Pilch, Martin; Dowding, Kevin J.; Red-Horse, John; Paez, Thomas L.; Babuška, Ivo; Tempone, Raul "Validation Challenge Workshop." Held in Albuquerque, NM, May 22–23, 2006. Comput. Methods Appl. Mech. Engrg. 197 (2008), no. 29-32, 2375–2380.​

Keywords: Validation, Modeling, Simulation

Read more | Website                                                                                     Refereed Journals

  • Nobile, F.; Tempone, R.; Webster, C. G. "A sparse grid stochastic collocation method for partial differential equations with random input data." SIAM J. Numer. Anal. 46 (2008), no. 5, 2309–2345.​

Keywords: collocation techniques, stochastic PDEs, finite elements, uncertainty quantification, sparse grids, Smolyak approximation, multivariate polynomial approximation

Read more | Website | Download Document                                          Refereed Journals

  • Nobile, F.; Tempone, R.; Webster, C. G. "An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data." SIAM J. Numer. Anal. 46 (2008), no. 5, 2411–2442.​

Keywords: collocation techniques, PDEs with random data, differential equations, finite elements, uncertainty quantification, anisotropic sparse grids, Smolyak sparse approximation, multivariate polynomial approximation

Read more | Website | Download Document                                           Refereed Journals