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Total result(s) found: 8
  • 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
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
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
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
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
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
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
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, multi- variate polynomial approximation
Refereed Journals