activity
20112023
most citedSparse Pseudospectral Approximation Method

196 citations · 296 across the 12 of their papers we have counts for

collaborators

12 papers

math.NA2023

Efficient Computation of Tucker Decomposition for Streaming Scientific Data Compression

Saibal De, Zitong Li, Hemanth Kolla +1

The Tucker decomposition, an extension of singular value decomposition for higher-order tensors, is a useful tool in analysis and compression of large-scale scientific data. While…

math.NA2021

Streaming Generalized Canonical Polyadic Tensor Decompositions

Eric Phipps, Nick Johnson, Tamara G. Kolda

In this paper, we develop a method which we call OnlineGCP for computing the Generalized Canonical Polyadic (GCP) tensor decomposition of streaming data. GCP differs from tradition…

math.NA2019

Solvers and precondtioners based on Gauss-Seidel and Jacobi algorithms for non-symmetric stochastic Galerkin system of equations

Ramakrishna Tipireddy, Eric T. Phipps, Roger G. Ghanem

In this work, solvers and preconditioners based on Gauss-Seidel and Jacobi algorithms are explored for stochastic Galerkin discretization of partial differential equations (PDEs) w…

cs.MS2018★ 42 cited

Software for Sparse Tensor Decomposition on Emerging Computing Architectures

Eric Phipps, Tamara G. Kolda

In this paper, we develop software for decomposing sparse tensors that is portable to and performant on a variety of multicore, manycore, and GPU computing architectures. The resul…

stat.CO2017★ 1 cited

Surrogate-based Ensemble Grouping Strategies for Embedded Sampling-based Uncertainty Quantification

Marta D'Elia, Eric Phipps, Ahmad Rushdi +1

The embedded ensemble propagation approach introduced in [49] has been demonstrated to be a powerful means of reducing the computational cost of sampling-based uncertainty quantifi…

cs.MS2015★ 1 cited

Embedded Ensemble Propagation for Improving Performance, Portability and Scalability of Uncertainty Quantification on Emerging Computational Architectures

E. Phipps, M. D'Elia, H. C. Edwards +3

Quantifying simulation uncertainties is a critical component of rigorous predictive simulation. A key component of this is forward propagation of uncertainties in simulation input…

cs.MS2012★ 2 cited

Automating embedded analysis capabilities and managing software complexity in multiphysics simulation part II: application to partial differential equations

Roger P. Pawlowski, Eric T. Phipps, Andrew G. Salinger +3

A template-based generic programming approach was presented in a previous paper that separates the development effort of programming a physical model from that of computing additio…

cs.MS2012

Efficient Expression Templates for Operator Overloading-based Automatic Differentiation

Eric Phipps, Roger Pawlowski

Expression templates are a well-known set of techniques for improving the efficiency of operator overloading-based forward mode automatic differentiation schemes in the C++ program…

cs.MS2012

Automating embedded analysis capabilities and managing software complexity in multiphysics simulation part I: template-based generic programming

Roger P. Pawlowski, Eric T. Phipps, Andrew G. Salinger

An approach for incorporating embedded simulation and analysis capabilities in complex simulation codes through template-based generic programming is presented. This approach relie…

math.NA2012★ 44 cited

Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods

Bedřich Sousedík, Roger G. Ghanem, Eric T. Phipps

Use of the stochastic Galerkin finite element methods leads to large systems of linear equations obtained by the discretization of tensor product solution spaces along their spatia…

math.NA2011★ 10 cited

A Lanczos Method for Approximating Composite Functions

Paul G. Constantine, Eric T. Phipps

We seek to approximate a composite function h(x) = g(f(x)) with a global polynomial. The standard approach chooses points x in the domain of f and computes h(x) at each point, whic…

math.NA2011★ 196 cited

Sparse Pseudospectral Approximation Method

Paul G. Constantine, Michael S. Eldred, Eric T. Phipps

Multivariate global polynomial approximations - such as polynomial chaos or stochastic collocation methods - are now in widespread use for sensitivity analysis and uncertainty quan…