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2020 – today
- 2025
[j26]Andrew Janes, John R. Singler
:
A new proper orthogonal decomposition method with second difference quotients for the wave equation. J. Comput. Appl. Math. 457: 116279 (2025)- 2024
- [c15]Douglas A. Bristow, John R. Singler:
$L_{\infty}$ Bounds for Transient Growth in Repetitive and Iterative Learning Control Systems. ACC 2024: 4831-4837 - 2023
- [j25]Sarah Locke Eskew, John R. Singler:
A new approach to proper orthogonal decomposition with difference quotients. Adv. Comput. Math. 49(2): 13 (2023) - [j24]Gang Chen, Daozhi Han, John R. Singler, Yangwen Zhang:
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn-Hilliard Equation. SIAM J. Numer. Anal. 61(1): 83-109 (2023) - [i6]Andrew Janes, John R. Singler:
A New Proper Orthogonal Decomposition Method with Second Difference Quotients for the Wave Equation. CoRR abs/2309.03375 (2023) - 2022
- [j23]Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang:
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space. SIAM J. Numer. Anal. 60(1): 450-474 (2022) - [i5]Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang:
A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations. CoRR abs/2203.04589 (2022) - 2021
- [j22]Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu:
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. SIAM J. Numer. Anal. 59(4): 2163-2196 (2021) - [i4]Sarah K. Locke, John R. Singler:
A new approach to proper orthogonal decomposition with difference quotients. CoRR abs/2106.10224 (2021) - 2020
- [j21]Hiba Fareed, John R. Singler:
Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data. J. Comput. Appl. Math. 368 (2020) - [j20]Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, Xiaobo Zheng:
A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs. Numerische Mathematik 144(2): 375-411 (2020) - [j19]Sarah K. Locke, John R. Singler:
New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data. SIAM J. Numer. Anal. 58(6): 3251-3285 (2020) - [i3]Gang Chen, Bernardo Cockburn, John R. Singler, Yangwen Zhang:
Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods. CoRR abs/2009.00704 (2020) - [i2]Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu:
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. CoRR abs/2010.03750 (2020)
2010 – 2019
- 2019
- [j18]Jiguang Shen, John R. Singler, Yangwen Zhang:
HDG-POD reduced order model of the heat equation. J. Comput. Appl. Math. 362: 663-679 (2019) - [j17]Bernardo Cockburn, John R. Singler, Yangwen Zhang:
Interpolatory HDG Method for Parabolic Semilinear PDEs. J. Sci. Comput. 79(3): 1777-1800 (2019) - [j16]Gang Chen, Guosheng Fu, John R. Singler, Yangwen Zhang:
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs. J. Sci. Comput. 81(2): 623-648 (2019) - [j15]Gang Chen, Bernardo Cockburn, John R. Singler, Yangwen Zhang:
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDGk Method. J. Sci. Comput. 81(3): 2188-2212 (2019) - [j14]Gang Chen, John R. Singler, Yangwen Zhang:
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs. SIAM J. Numer. Anal. 57(4): 1919-1946 (2019) - [c14]Ehsan Arabi, Tansel Yucelen, John R. Singler:
Robustness of Finite-Time Distributed Control Algorithm with Time Transformation. ACC 2019: 108-113 - [i1]Sarah K. Locke, John R. Singler:
New proper orthogonal decomposition approximation theory for PDE solution data. CoRR abs/1910.08174 (2019) - 2018
- [j13]Hiba Fareed, John R. Singler, Yangwen Zhang, Jiguang Shen:
Incremental proper orthogonal decomposition for PDE simulation data. Comput. Math. Appl. 75(6): 1942-1960 (2018) - [j12]Gang Chen, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, Xiaobo Zheng:
An HDG method for distributed control of convection diffusion PDEs. J. Comput. Appl. Math. 343: 643-661 (2018) - [j11]Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, Xiaobo Zheng:
A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs. J. Sci. Comput. 76(3): 1436-1457 (2018) - [j10]Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, Yangwen Zhang:
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity. SIAM J. Numer. Anal. 56(4): 2262-2287 (2018) - [j9]Behzad Talaei, Sarangapani Jagannathan, John R. Singler:
Boundary Control of Linear Uncertain 1-D Parabolic PDE Using Approximate Dynamic Programming. IEEE Trans. Neural Networks Learn. Syst. 29(4): 1213-1225 (2018) - [j8]Behzad Talaei, Sarangapani Jagannathan, John R. Singler:
Output Feedback-Based Boundary Control of Uncertain Coupled Semilinear Parabolic PDE Using Neurodynamic Programming. IEEE Trans. Neural Networks Learn. Syst. 29(4): 1263-1274 (2018) - [j7]Behzad Talaei, Sarangapani Jagannathan, John R. Singler:
Boundary Control of 2-D Burgers' PDE: An Adaptive Dynamic Programming Approach. IEEE Trans. Neural Networks Learn. Syst. 29(8): 3669-3681 (2018) - 2016
- [c13]Behzad Talaei, Sarangapani Jagannathan, John R. Singler:
Boundary control of two dimensional burgers PDE using approximate dynamic programming. ACC 2016: 5243-5248 - 2015
- [c12]Behzad Talaei, Sarangapani Jagannathan, John R. Singler:
Boundary control of linear one-dimensional parabolic PDE using neuro-dynamic programming. CCA 2015: 577-582 - 2014
- [j6]John R. Singler:
New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs. SIAM J. Numer. Anal. 52(2): 852-876 (2014) - [c11]Weiwei Hu, John R. Singler:
A modified balanced POD model reduction algorithm for parabolic PDEs with unbounded inputs. ACC 2014: 1680-1685 - 2013
- [c10]John R. Singler:
Variation of the balanced POD algorithm for model reduction of linear systems. ACC 2013: 496-501 - [c9]John R. Singler, Joshua Merritt, Cody W. Ray, Belinda A. Batten:
Reduced order controllers for an anisotropic composite plate with smart actuation and sensing. ACC 2013: 1272-1277 - 2012
- [j5]John R. Singler, Belinda A. Batten:
Balanced POD for linear PDE robust control computations. Comput. Optim. Appl. 53(1): 227-248 (2012) - [j4]John R. Singler:
Balanced POD for model reduction of linear PDE systems: convergence theory. Numerische Mathematik 121(1): 127-164 (2012) - [c8]John R. Singler:
Model reduction of linear PDE systems: A continuous time Eigensystem Realization Algorithm. ACC 2012: 1424-1429 - 2011
- [j3]Douglas A. Bristow, John R. Singler:
Towards transient growth analysis and design in iterative learning control. Int. J. Control 84(7): 1234-1245 (2011) - [c7]Cody W. Ray, Belinda A. Batten, John R. Singler:
A model based feedback controller for wing-twist via piezoceramic actuation. ACC 2011: 2362-2367 - [c6]Douglas A. Bristow, John R. Singler:
Robustness analysis of slow learning in Iterative Learning Control systems. ACC 2011: 3669-3673 - 2010
- [c5]John R. Singler, Belinda A. Batten:
Balanced POD algorithm for robust control design for linear distributed parameter systems. ACC 2010: 4881-4886 - [c4]Cody W. Ray, Belinda A. Batten, John R. Singler:
Feedback control of a bioinspired plate-beam system. CDC 2010: 1719-1724
2000 – 2009
- 2009
- [j2]John R. Singler, Belinda A. Batten:
A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems. Int. J. Comput. Math. 86(2): 355-371 (2009) - [c3]John R. Singler, Belinda A. Batten:
A comparison of balanced truncation methods for closed loop systems. ACC 2009: 820-825 - 2008
- [j1]John R. Singler:
Differentiability with respect to parameters of weak solutions of linear parabolic equations. Math. Comput. Model. 47(3-4): 422-430 (2008) - [c2]John R. Singler:
Approximate low rank solutions of Lyapunov equations via proper orthogonal decomposition. ACC 2008: 267-272 - 2005
- [c1]John A. Burns, John R. Singler:
Feedback Control of Low Dimensional Models of Transition to Turbulence. CDC/ECC 2005: 3140-3145
Coauthor Index
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