Welcome to John Singler's homepage.

I am an assistant professor in the Department of Mathematics and Statistics at Missouri S&T (Missouri University of Science and Technology; formerly University of Missouri-Rolla).

Teaching  Research  Publications  Contact Information

Teaching

Fall 2009: Course information is posted on Blackboard.

• MATH 204, Elementary Differential Equations
• MATH 303, Mathematical Modeling

Research

My general research areas are applied mathematics, computational mathematics, and numerical analysis.
I am particularly interested in

• reduced order modeling of partial differential equations (PDEs)
• computational control and numerical approximation of solutions of PDEs
• fluid dynamics, transition to turbulence, and flow control
• computational methods for sensitivity analysis of PDEs

Publications

• 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
  link to journal article
   
• 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
  link to article
   
• 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
   
• 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)  link to journal article
   
• 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)   link to article
   
• Benjamin T. Dickinson, John R. Singler, and Belinda A. Batten
  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
   
• 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   link to proceedings
   
• 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)   link to journal article
   
• 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)   link to journal article
   
• 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)   link to journal article
   
• 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
   
• 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
   
• 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)
   
• 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
   
• 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

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
link to pdf

Contact info

Dr. John R. Singler
Assistant Professor
Department of Mathematics and Statistics
400 W. 12th St.
Missouri University of Science and Technology
Rolla, MO 65409 - 0020

Office: 312 Rolla Building
Phone: (573) 341 - 4648
Email

Last updated November 6th, 2009.

Teaching  Research  Publications  Contact Information