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Searching Results for T10.16-17.10:
Lecture 2. Mathematical problems parametrized by a finite number of input random variables (finite dimensional case). Perturbation techniques and second order moment analysis. Sampling methods: Monte Carlo and variants; convergence analysis, 0000-00-00, Raul F. Tempone  (King Abdullah University of Science & Technology)
Lecture 3. Approximation of functions using polynomial or piecewise polynomial functions either by projection or interpolation. Stochastic Galerkin method (SGM): derivation; algorithmic aspects; preconditioning of the global system. Stochastic Collocation Method (SCM): collocation on tensor grids; sparse grid approximation; construction of generalized sparse grids, 2010-10-16, Raul F. Tempone  (King Abdullah University of Science & Technology)
A brief review of variational analysis, 2010-10-16, Roger J.B. Wets  (University of California, Davis)
A brief review of variational analysis (continued), 2010-10-16, Roger J.B. Wets  (University of California, Davis)
Random sets, 2010-10-16, Roger J.B. Wets  (University of California, Davis)
Lecture 1.Problem formulation; examples of elliptic, parabolic, hyperbolic equations with stochastic data; well posedness; the case of infinite dimensional input data (random field); data representation; expansions using a countable number of random variables; truncation and convergence results, 2010-10-16, Christoph Schwab  (ETH Zürich)
Lecture 4. Elliptic equations with random input parameters: regularity results; convergence analysis for Galerkin and Collocation approximations. Anisotropic approximations, 2010-10-17, Raul F. Tempone  (King Abdullah University of Science & Technology)
Random lsc functions and expectation functionals, 2010-10-17, Roger J.B. Wets  (University of California, Davis)
Random lsc functions and expectation functionals (continued), 2010-10-17, Roger J.B. Wets  (University of California, Davis)
Introduction to the calculus of expectation functionals, 2010-10-17, Roger J.B. Wets  (University of California, Davis)
Lecture 5. Numerical examples, numerical comparison of SGM and SCM. Adaptive approximation, 2010-10-17, Raul F. Tempone  (King Abdullah University of Science & Technology)
Lecture 6. The infinite dimensional case, 2010-10-17, Christoph Schwab  (ETH Zürich)
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