- My Google Scholar Profile
- My ORCID record
- My preprints on arXiv
- Links are given below to the published articles and/or preprints.
- The published articles may be substantially different from the preprints.
- Please email me if you would like a copy of any of the papers.
Preprints
Xuejian Li, John R. Singler, Xiaoming He, Incremental data compression for PDE-constrained optimization with a data assimilation application
Andrew Janes and John R. Singler, A New Proper Orthogonal Decomposition Method with Second Difference Quotients for the Wave Equation
John R. Singler, A Note on Global Attractors for a Transition to Turbulence ODE Model Problem, to appear in Differential Equations and Dynamical Systems
Weiwei Hu, Mariano Mateos, John R. Singler, and Yangwen Zhang, A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs I: High Regularity
Refereed Journal Publications
44. Sarah Locke Eskew and John R. Singler, A New Approach to Proper Orthogonal Decomposition with Difference Quotients, Advances in Computational Mathematics, vol. 49, 2023, article 13
43. Gang Chen, Daozhi Han, John R. Singler, Yangwen Zhang, On the Superconvergence of a Hydridizable Discontinuous Galerkin Method for the Cahn-Hilliard equation, SIAM Journal on Numerical Analysis, vol. 61, no. 1, 2023, 83-109
42. Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang, A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations, Computer Methods in Applied Mechanics and Engineering, vol. 405, no. 15, 2023, article 115837
41. Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang, Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods, Communications on Applied Mathematics and Computation, vol. 4, no. 2, 2022, 477-499
40. Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang, Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space, SIAM Journal on Numerical Analysis, vol. 60, no. 1, 2022, 450-474
39. Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, and Traian Iliescu, On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition, SIAM Journal on Numerical Analysis, vol. 59, no. 4, 2021, 2163-2196
38. Ehsan Arabi, Tansel Yucelen and John R. Singler, Finite-Time Distributed Control with Time Transformation, International Journal of Robust and Nonlinear Control, vol. 31, no. 1, 2021, 107-130
37. Sarah Locke and John R. Singler, New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data, SIAM Journal on Numerical Analysis, vol. 58, no. 6, 2020, 3251-3285
36. Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, and Yangwen Zhang, Analysis of a Hybridizable Discontinuous Galerkin Scheme for the Tangential Control of the Stokes System, ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, no. 6, 2020, 2229-2264
35. Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng, A Superconvergent Hybridizable Discontinuous Galerkin Method for Dirichlet Boundary Control of Elliptic PDEs, Numerische Mathematik, vol. 144, no. 2, 2020, 375-411
34. Hiba Fareed and John R. Singler, Error Analysis of an Incremental Proper Orthogonal Decomposition Algorithm for PDE Simulation Data, Journal of Computational and Applied Mathematics, vol. 368, 2020, article 112525
33. Gang Chen, Bernardo Cockburn, John R. Singler, Yangwen Zhang, Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDG_k Method, Journal of Scientific Computing, vol. 81, no. 3, 2019, 2188-2212
32. Gang Chen, Guosheng Fu, John R. Singler, Yangwen Zhang, A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs, Journal of Scientific Computing, vol. 81, no. 2, 2019, 623-648
31. Gang Chen, John R. Singler, Yangwen Zhang, An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDE, SIAM Journal on Numerical Analysis, vol. 57, no. 4, 2019, 1919-1946
30. Hiba Fareed and John R. Singler, A Note on Incremental POD Algorithms for Continuous Time Data, Applied Numerical Mathematics, vol. 144, 2019, 223-233
29. Bernardo Cockburn, John R. Singler, Yangwen Zhang, Interpolatory HDG Method for Parabolic Semilinear PDEs, Journal of Scientific Computing, vol. 79, no. 3, 2019, 1777-1800
28. Jiguang Shen, John R. Singler, and Yangwen Zhang, HDG-POD Reduced Order Model of the Heat Equation, Journal of Computational and Applied Mathematics, vol. 362, 2019, 663-679
27. Xiao Zhang, Yangwen Zhang, and John R. Singler, An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs, International Journal of Numerical Analysis and Modeling, vol. 16, no. 4, 2019, 519–542
26. Belinda A. Batten, Hesam Shoori, John R. Singler, and Madhuka H. Weerasinghe, Balanced Truncation Model Reduction of a Nonlinear Cable-Mass PDE System with Interior Damping, Discrete & Continuous Dynamical Systems – Series B, vol. 24, no. 1, 2019, 83-107
25. Gang Chen, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng, An HDG Method for Distributed Control of Convection Diffusion PDEs, Journal of Computational and Applied Mathematics, vol. 343, 2018, 643-661
24. Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng, A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs, Journal of Scientific Computing, vol. 76, no. 3, 2018, 1436–1457
23. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Boundary Control of Two Dimensional Burgers PDE: An Adaptive Dynamic Programming Approach, IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 8, 2018, 3669-3681
22. Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, and Yangwen Zhang, A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs Il: Low Regularity, SIAM Journal on Numerical Analysis, vol. 56, no. 4, 2018, 2262-2287
21. Xiao Zhang, Yangwen Zhang, and John R. Singler, An EDG Method for Distributed Optimal Control of Elliptic PDEs, Advances in Applied Mathematics and Mechanics, vol. 10, no. 4, 2018, 797-818
20. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Output Feedback-Based Boundary Control of Uncertain Coupled Semilinear Parabolic PDE Using Neurodynamic Programming, IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 4, 2018, 1263-1274
19. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Boundary Control of Linear Uncertain 1-D Parabolic PDE Using Approximate Dynamic Programming, IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 4, 2018, 1213-1225
18. Hiba Fareed, Jiguang Shen, John R. Singler, and Yangwen Zhang, Incremental Proper Orthogonal Decomposition for PDE Simulation Data, Computers & Mathematics with Applications, vol. 75, no. 6, 2018, 1942-1960
17. John R. Singler, Global Attractor for a Low Order ODE Model Problem for Transition to Turbulence, Mathematical Methods in the Applied Sciences, vol. 40, no. 8, 2017, pp. 2896-2906
16. Boris Kramer and John R. Singler, A POD Projection Method for Large-Scale Algebraic Riccati Equations, Numerical Algebra, Control and Optimization, vol. 6, no. 4, 2016, pp. 413-435
15. John R. Singler, Optimality of Balanced Proper Orthogonal Decomposition for Data Reconstruction II: Further Approximation Results, Journal of Mathematical Analysis and Applications, vol. 421, no. 2, 2015, pp. 1006–1020
14. John R. Singler, New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs, SIAM Journal on Numerical Analysis, vol. 52, no. 2, 2014, pp. 852–876
13. Benjamin T. Dickinson and John R. Singler, Distributed Load Estimation from Noisy Structural Measurements, Journal of Applied Mechanics, vol. 80, no. 4, 2013, 041011
12. John R. Singler and Belinda A. Batten, Balanced POD for Linear PDE Robust Control Computations, Computational Optimization and Applications, vol. 53, no. 1, 2012, pp. 227-248
11. John R. Singler, Balanced POD for Model Reduction of Linear PDE Systems: Convergence Theory, Numerische Mathematik, vol. 121, no. 1, 2012, pp. 127-164
10. Benjamin T. Dickinson, John R. Singler, and Belinda A. Batten, Mathematical Modeling and Simulation of Biologically Inspired Hair Receptor Arrays in Laminar Unsteady Flow Separation, Journal of Fluids and Structures, vol. 29, 2012, pp. 1-17
9. John R. Singler, Convergent Snapshot Algorithms for Infinite Dimensional Lyapunov Equations, IMA Journal of Numerical Analysis, vol. 31, no. 4, 2011, pp. 1468-1496
8. Douglas A. Bristow and John R. Singler, Towards Transient Growth Analysis and Design in Iterative Learning Control, International Journal of Control, vol. 84, no. 7, 2011, pp. 1234-1245
7. Lisa G. Davis and John R. Singler, Computational Issues in Sensitivity Analysis for 1D Interface Problems, Journal of Computational Mathematics, vol. 29, no. 1, 2011, pp. 111-130
6. John R. Singler, Optimality of Balanced Proper Orthogonal Decomposition for Data Reconstruction, Numerical Functional Analysis and Optimization, vol. 31, no. 7, 2010, pp. 852-869
5. Benjamin T. Dickinson and John R. Singler, Nonlinear Model Reduction Using Group Proper Orthogonal Decomposition, International Journal of Numerical Analysis and Modeling, vol. 7, no. 2, 2010, pp. 356-372
4. John R. Singler and Belinda A. Batten, A Proper Orthogonal Decomposition Approach to Approximate Balanced Truncation of Infinite Dimensional Linear Systems, International Journal of Computer Mathematics, vol. 86, no. 2, 2009, pp. 355-371
3. John R. Singler, Transition to Turbulence, Small Disturbances, and Sensitivity Analysis II: The Navier–Stokes equations, Journal of Mathematical Analysis and Applications, vol. 337, no. 2, 2008, pp. 1442-1456
2. John R. Singler, Transition to Turbulence, Small Disturbances, and Sensitivity Analysis I: A Motivating Problem, Journal of Mathematical Analysis and Applications, vol. 337, no. 2, 2008, pp. 1425-1441
1. John R. Singler, Differentiability with Respect to Parameters of Weak Solutions of Linear Parabolic Equations, Mathematical and Computer Modelling, vol. 47, no. 3-4, 2008, pp. 422-430
Refereed Conference Publications
24. Ehsan Arabi, Tansel Yucelen, and John R. Singler, Robustness of Finite-Time Distributed Control Algorithm with Time Transformation, Proceedings of the American Control Conference, 2019, pp. 108-113
23. Ehsan Arabi, Tansel Yucelen, and John R. Singler, Further Results on Finite-Time Distributed Control of Multiagent Systems with Time Transformation, Proceedings of the ASME Dynamic Systems and Control Conference, 2018, paper no. DSCC2018-8959
22. Weiwei Hu, John R. Singler, and Yangwen Zhang, Feedback Control of a Thermal Fluid Based on a Reduced Order Observer, Proceedings of IFAC Symposium on Nonlinear Control Systems, IFAC-PapersOnLine, vol. 49, no. 18, 2016, pp. 116-121
Extended abstract in Proceedings of the International Symposium on Mathematical Theory of Networks and Systems, 2016, pp. 489-491
21. Belinda A. Batten, Hesam Shoori, John R. Singler, and Madhuka H. Weerasinghe, Model Reduction of a Nonlinear Cable-Mass PDE System with Dynamic Boundary Input, Proceedings of the International Symposium on Mathematical Theory of Networks and Systems, 2016, pp. 327-334
20. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Boundary Control of Two Dimensional Burgers PDE Using Approximate Dynamic Programming, Proceedings of the American Control Conference, 2016, pp. 5243-5248
19. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Adaptive Dynamic Programming Boundary Control of Uncertain Coupled Semi-Linear Parabolic PDE, Proceedings of IEEE International Symposium on Intelligent Control, 2015, pp. 918-923
18. Behzad Talaei, Sarangapani Jagannathan, and John R. Singler, Boundary Control of Linear One-Dimensional Parabolic PDE using Neuro-Dynamic Programming, Proceedings of IEEE Conference on Control Applications, 2015, pp. 577-582
17. Weiwei Hu and John R. Singler, A Modified Balanced POD Model Reduction Algorithm for Parabolic PDEs with Unbounded Inputs, Proceedings of American Control Conference, 2014, pp. 1680-1685
16. John R. Singler, Joshua Merritt, Cody W. Ray, and Belinda A. Batten, Reduced Order Controllers for an Anisotropic Composite Plate with Smart Actuation and Sensing, Proceedings of American Control Conference, 2013, pp. 1272-1277
15. John R. Singler, Variation of the Balanced POD Algorithm for Model Reduction of Linear Systems, Proceedings of American Control Conference, 2013, pp. 496-501
14. John R. Singler, Model Reduction of Linear PDE Systems: A Continuous Time Eigensystem Realization Algorithm, Proceedings of American Control Conference, 2012, pp. 1424-1429
13. Cody Ray, Belinda A. Batten, and John R. Singler, A Model Based Feedback Controller for Wing-Twist via Piezoceramic Actuation, Proceedings of American Control Conference, 2011, pp. 2362-2367
12. Douglas A. Bristow and John R. Singler, Robustness Analysis of Slow Learning in Iterative Learning Control Systems, Proceedings of American Control Conference, 2011, pp. 3669-3673
11. Cody Ray, Belinda A. Batten, and John R. Singler, Feedback Control of a Bioinspired Plate-Beam System, Proceedings of IEEE Conference on Decision and Control, 2010, pp. 1719-1274
10. John R. Singler and Belinda A. Batten, Balanced POD Algorithm for Robust Control Design for Linear Distributed Parameter Systems, Proceedings of American Control Conference, 2010, pp. 4881-4886
9. Douglas A. Bristow and John R. Singler, Analysis of Transient Growth in Iterative Learning Control Using Pseudospectra, Symposium on Learning Control, Shanghai, China, 2009
8. John R. Singler and Belinda A. Batten, A Comparison of Balanced Truncation Methods for Closed Loop Systems, Proceedings of the American Control Conference, 2009, pp. 820-825
7. Benjamin T. Dickinson, John R. Singler, and Belinda A. Batten, A Snapshot Algorithm for Linear Feedback Flow Control Design, Proceedings of the AIAA Infotech@Aerospace Conference and AIAA Unmanned…Unlimited Conference, 2009, AIAA paper number 2009-1961
6. John R. Singler, Approximate Low Rank Solutions of Lyapunov Equations via Proper Orthogonal Decomposition, Proceedings of the American Control Conference, 2008, pp. 267-272
5. Benjamin T. Dickinson, John R. Singler, and Belinda A. Batten, The Detection of Unsteady Flow Separation with Bioinspired Hair Cell Sensors, Proceedings of the 26th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, 2008, AIAA paper number 2008-3937
4. John R. Singler and Belinda A. Batten, Balanced Proper Orthogonal Decomposition for Model Reduction of Infinite Dimensional Linear Systems, Proceedings of the 7th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE), 2007, pp. 361-371
3. Benjamin T. Dickinson, John R. Singler, and Belinda A. Batten, Modeling of Bioinspired Sensors for Flow Separation Detection in Micro Air Vehicles, Proceedings of the 3rd AIAA Flow Control Conference, 2006, AIAA paper number 2006-3019
2. John A. Burns and John R. Singler, Feedback Control of Low Dimensional Models of Transition to Turbulence, Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, 2005, pp. 3140-3145
1. Eric J. Ruggiero, John R. Singler, John A. Burns, and Daniel J. Inman, Finite Element Formulation for Static Shape Control of a Thin Euler-Bernoulli Beam using Piezoelectric Actuators, Proceedings of the 2004 ASME International Mechanical Engineering Conference and Exhibition, 2004, pp. 9-16
Refereed Book Chapters
2. John A. Burns and John R. Singler, Modeling Transition: New Scenarios, System Sensitivity and Feedback Control, in Transition and Turbulence Control, World Scientific, 2005, pp. 1-37
abstract and full text (sample chapter)
1. John A. Burns and John R. Singler, On the Long Time Behavior of Approximating Dynamical Systems, in Control and Estimation of Distributed Parameter Systems, Birkhäuser, 2003, pp. 73-86
Other Publications
Non-Refereed Conference Publications
Benjamin T. Dickinson, John R. Singler, and Gregg Abate, Structural Feedback for Enhanced MAV Flight, Proceedings of AIAA Guidance, Navigation, and Control Conference, 2010, AIAA paper number 2010-7933
Ph.D. Dissertation
John R. Singler, Sensitivity Analysis of Partial Differential Equations With Applications to Fluid Flow, Department of Mathematics, Virginia Polytechnic Institute and State University, 2005
Last updated 4/18/2024