Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Enhanced alternating energy minimization methods for stochastic galerkin matrix equations

Journal Article · · BIT Numerical Mathematics

Not provided.

Research Organization:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0009301
OSTI ID:
1976664
Journal Information:
BIT Numerical Mathematics, Vol. 62, Issue 3; ISSN 0006-3835
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English

References (40)

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations journal January 2004
A projection method to solve linear systems in tensor format: A PROJECTION METHOD TO SOLVE LINEAR SYSTEMS IN TENSOR FORMAT journal January 2012
Low rank methods for a class of generalized Lyapunov equations and related issues journal March 2013
Iterative Solvers for a Spectral Galerkin Approach to Elliptic Partial Differential Equations with Fuzzy Coefficients journal January 2013
Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions journal January 2014
A least-squares approximation of partial differential equations with high-dimensional random inputs journal July 2009
Non-intrusive low-rank separated approximation of high-dimensional stochastic models journal August 2013
The approximation of one matrix by another of lower rank journal September 1936
Adaptive stochastic Galerkin FEM with hierarchical tensor representations journal November 2016
Solving the stochastic steady-state diffusion problem using multigrid journal April 2007
IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems journal January 2014
A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem journal January 2018
Rank-Constrained Solutions to Linear Matrix Equations Using PowerFactorization journal July 2009
Understanding Alternating Minimization for Matrix Completion conference October 2014
Low-rank matrix completion using alternating minimization conference June 2013
Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs journal January 2011
Matrix Factorization Techniques for Recommender Systems journal August 2009
Truncated low-rank methods for solving general linear matrix equations journal March 2015
Krylov Subspace Methods for Linear Systems with Tensor Product Structure journal January 2010
Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems journal October 2011
Greedy low-rank algorithm for spatial connectome regression journal November 2019
A multigrid solver for two-dimensional stochastic diffusion equations journal October 2003
Stochastic Least-Squares Petrov--Galerkin Method for Parameterized Linear Systems journal January 2018
A Preconditioned Low-Rank Projection Method with a Rank-Reduction Scheme for Stochastic Partial Differential Equations journal January 2017
Solving stochastic systems with low-rank tensor compression journal May 2012
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations journal September 2007
Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems journal October 2010
Tensor-Train Decomposition journal January 2011
On the convergence of Krylov methods with low-rank truncations journal March 2021
Iterative solution of systems of linear equations arising in the context of stochastic finite elements journal August 2000
Block-diagonal preconditioning for spectral stochastic finite-element systems journal April 2008
An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations journal January 2017
Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method journal June 2020
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization journal January 2010
Iterative Methods for Sparse Linear Systems book January 2003
Computational Methods for Linear Matrix Equations journal January 2016
An Adaptive Algebraic Multigrid Algorithm for Low-Rank Canonical Tensor Decomposition journal January 2013
A Low-Rank in Time Approach to PDE-Constrained Optimization journal January 2015
Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier--Stokes Equations journal January 2014
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002

Similar Records

Stochastic Galerkin methods for the steady-state Navier–Stokes equations
Journal Article · 2016 · Journal of Computational Physics · OSTI ID:1418535

Stochastic Galerkin methods for the steady-state Navier–Stokes equations
Journal Article · 2016 · Journal of Computational Physics · OSTI ID:1467148

Stochastic Least-Squares Petrov--Galerkin Method for Parameterized Linear Systems
Journal Article · 2018 · SIAM/ASA Journal on Uncertainty Quantification · OSTI ID:1464179

Related Subjects