Polynomial Chaos Expansions for dependent random variables.
Abstract not provided.
Jakeman, John Davis↗
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A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs
Not Available
Mycek, Paul (ORCID:000000026919112X)↗
Efficient polynomial chaos expansion for uncertainty quantification in power systems
Not Available
Métivier, David (ORCID:0000000260447563)↗
Probabilistic analysis of CO2 storage mechanisms in a CO2-EOR field using polynomial chaos expansion
Not Available
Jia, Wei (ORCID:0000000241068189)↗
Uncertainty quantification of CO2 storage using Bayesian model averaging and polynomial chaos expansion
Not Available
Jia, Wei (ORCID:0000000241068189)↗
Comparison of polynomial approximations to speed up planewave-based quantum Monte Carlo calculations
Not Available
Parker, William D. (ORCID:0000000324546094)↗
Enhancing ℓ 1 -minimization estimates of polynomial chaos expansions using basis selection
Not Available
Jakeman, J. D. (ORCID:000000023517337X)↗
Weighted discrete least-squares polynomial approximation using randomized quadratures
Not Available
Zhou, Tao↗
High-order quadrature on multi-component domains implicitly defined by multivariate polynomials
Not Available
97 MATHEMATICS AND COMPUTING↗
Colored knot polynomials for arbitrary pretzel knots and links
Not Available
97 MATHEMATICS AND COMPUTING↗
Projected Hartree-Fock theory as a polynomial of particle-hole excitations and its combination with variational coupled cluster theory
Projected Hartree-Fock theory provides an accurate description of many kinds of strong correlations but does not properly describe weakly correlated systems. Coupled cluster theory, in contrast, does the opposite. It therefore seems natural to combine the two so as to describe both strong and weak correlations with high accuracy in a relatively black-box manner. Combining the two approaches, however, is made more difficult by the fact that the two techniques are formulated very differently. In earlier work, we showed how to write spin-projected Hartree-Fock in a coupled-cluster-like language. Here in this work, we fill in the gaps in that earlier work. Further, we combine projected Hartree-Fock and coupled cluster theory in a variational formulation and show how the combination performs for the description of the Hubbard Hamiltonian and for several small molecular systems.
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗