Publications

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

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 K. Locke and John R. Singler

A New Approach to Proper Orthogonal Decomposition with Difference Quotients

Advances in Computational Mathematics, vol. 49, 2023, article 13

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

arXiv preprint

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

abstract

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

Link to full proceedings

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and preprint (pdf)

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

abstract and article (pdf)

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

abstract and preprint (pdf)

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

abstract and article (pdf)

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

abstract and preprint (pdf)

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

abstract and article (pdf)

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

abstract

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

abstract

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

abstract and preprint (pdf)

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 2/25/2023