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- Sandia National Laboratories CaliforniaUS256 papers
- Center for Integrated NanotechnologiesUS116 papers
- University of New MexicoUS94 papers
- Los Alamos National LaboratoryUS75 papers
- Princeton UniversityUS59 papers
- Massachusetts Institute of TechnologyUS48 papers
- Oak Ridge National LaboratoryUS45 papers
- Lawrence Livermore National LaboratoryUS43 papers
- Purdue University West LafayetteUS40 papers
- Lawrence Berkeley National LaboratoryUS38 papers
- The University of Texas at AustinUS37 papers
- University of Maryland, College ParkUS37 papers
9 papers · 2 filters
A Christoffel function weighted least squares algorithm for collocation approximations
Akil Narayan, John D. Jakeman, Tao Zhou
We propose, theoretically investigate, and numerically validate an algorithm for the Monte Carlo solution of least-squares polynomial approximation problems in a collocation frame-…
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
Derek Olson, Alexander V. Shapeev, Pavel Bochev +1
We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for problems with point defects. Near the defect core the method employs a potential-bas…
A Structure Preserving Scheme for the Kolmogorov-Fokker-Planck Equation
Erich L Foster, Jérôme Lohéac, Minh-Binh Tran
In this paper we introduce a numerical scheme which preserves the long time behavior of solutions to the Kolmogorov equation. The method presented is based on a self-similar change…
Numerical Optimization for Symmetric Tensor Decomposition
Tamara G. Kolda
We consider the problem of decomposing a real-valued symmetric tensor as the sum of outer products of real-valued vectors. Algebraic methods exist for computing complex-valued deco…
Enhancing -minimization estimates of polynomial chaos expansions using basis selection
John D. Jakeman, Michael S. Eldred, Khachik Sargsyan
In this paper we present a basis selection method that can be used with -minimization to adaptively determine the large coefficients of polynomial chaos expansions (PCE). T…
Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps
Troy Butler, Don Estep, Simon Tavener +3
We compute approximate solutions to inverse problems for determining parameters in differential equation models with stochastic data on output quantities. The formulation of the pr…