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John Singler
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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
992014
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
382018
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
382012
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
332018
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
322021
Approximate low rank solutions of Lyapunov equations via proper orthogonal decomposition
JR Singler
2008 American Control Conference, 267-272, 2008
292008
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
272019
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
252018
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
252017
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
252008
Convergent snapshot algorithms for infinite-dimensional Lyapunov equations
JR Singler
IMA Journal of Numerical Analysis 31 (4), 1468-1496, 2011
232011
Nonlinear model reduction using group proper orthogonal decomposition
BT Dickinson, JR Singler
International Journal of Numerical Analysis & Modeling 7 (2), 356, 2010
232010
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
232009
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
222021
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
222020
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
192020
Sensitivity analysis of partial differential equations with applications to fluid flow
JR Singler
Virginia Polytechnic Institute and State University, 2005
192005
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
182019
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
172019
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