2008 Overview 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
