New POD error expressions, error bounds, and asymptotic results for reduced order models of parabolic PDEs JR Singler SIAM Journal on Numerical Analysis 52 (2), 852-876, 2014 | 99 | 2014 |
Incremental proper orthogonal decomposition for PDE simulation data H Fareed, JR Singler, Y Zhang, J Shen Computers & Mathematics with Applications 75 (6), 1942-1960, 2018 | 38 | 2018 |
Mathematical modeling and simulation of biologically inspired hair receptor arrays in laminar unsteady flow separation BT Dickinson, JR Singler, BA Batten Journal of Fluids and Structures 29, 1-17, 2012 | 38 | 2012 |
An HDG method for distributed control of convection diffusion PDEs G Chen, W Hu, J Shen, JR Singler, Y Zhang, X Zheng Journal of Computational and Applied Mathematics 343, 643-661, 2018 | 33 | 2018 |
On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition B Koc, S Rubino, M Schneier, J Singler, T Iliescu SIAM Journal on Numerical Analysis 59 (4), 2163-2196, 2021 | 32 | 2021 |
Approximate low rank solutions of Lyapunov equations via proper orthogonal decomposition JR Singler 2008 American Control Conference, 267-272, 2008 | 29 | 2008 |
Balanced POD for model reduction of linear PDE systems: convergence theory JR Singler Numerische Mathematik 121 (1), 127-164, 2011 | 28* | 2011 |
Interpolatory HDG method for parabolic semilinear PDEs B Cockburn, JR Singler, Y Zhang Journal of Scientific Computing 79, 1777-1800, 2019 | 27 | 2019 |
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity W Gong, W Hu, M Mateos, J Singler, X Zhang, Y Zhang SIAM Journal on Numerical Analysis 56 (4), 2262-2287, 2018 | 25 | 2018 |
Boundary control of linear uncertain 1-D parabolic PDE using approximate dynamic programming B Talaei, S Jagannathan, J Singler IEEE Transactions on Neural Networks and Learning Systems 29 (4), 1213-1225, 2017 | 25 | 2017 |
The detection of unsteady flow separation with bioinspired hair cell sensors B Dickinson, J Singler, B Batten 26th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, 3937, 2008 | 25 | 2008 |
Convergent snapshot algorithms for infinite-dimensional Lyapunov equations JR Singler IMA Journal of Numerical Analysis 31 (4), 1468-1496, 2011 | 23 | 2011 |
Nonlinear model reduction using group proper orthogonal decomposition BT Dickinson, JR Singler International Journal of Numerical Analysis & Modeling 7 (2), 356, 2010 | 23 | 2010 |
A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems JR Singler, BA Batten International Journal of Computer Mathematics 86 (2), 355-371, 2009 | 23 | 2009 |
Finite‐time distributed control with time transformation E Arabi, T Yucelen, JR Singler International Journal of Robust and Nonlinear Control 31 (1), 107-130, 2021 | 22 | 2021 |
A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs W Hu, J Shen, JR Singler, Y Zhang, X Zheng Numerische Mathematik 144, 375-411, 2020 | 22 | 2020 |
Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data H Fareed, JR Singler Journal of Computational and Applied Mathematics 368, 112525, 2020 | 19 | 2020 |
Sensitivity analysis of partial differential equations with applications to fluid flow JR Singler Virginia Polytechnic Institute and State University, 2005 | 19 | 2005 |
HDG–POD reduced order model of the heat equation J Shen, JR Singler, Y Zhang Journal of Computational and Applied Mathematics 362, 663-679, 2019 | 18 | 2019 |
An HDG method for Dirichlet boundary control of convection dominated diffusion PDEs G Chen, JR Singler, Y Zhang SIAM Journal on Numerical Analysis 57 (4), 1919-1946, 2019 | 17 | 2019 |