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Publications: (Listings in Mathematical Reviews)   * denotes undergraduate co-author

• C. Fletcher* and J. S. Howell. Dynamic modeling of nontargeted and targeted advertising strategies in an oligopoly. Submitted May 2016. arXiv preprint
  
  
• J. S. Howell. Prestructuring sparse matrices with dense rows and columns via null space methods. Submitted May 2016. arXiv preprint
  
  
• D. S. Boucher and J. S. Howell. Solubility Characteristics of C60 and PCBM. J. Phys. Chem. B, 120(44), 2016, 11556-11566. DOI Link
  
  
• N. Kuthirummal, G. Smith, L. Lopez*, R. Podila, J. S. Howell, C. Dun, and A. M. Rao.  Synthesis and characterization of Ar-annealed zinc oxide nanostructures.  AIP Advances, 6, 095225 (2016).  DOI Link
  
  
• J. S. Howell, I. Lasiecka, and J. T. Webster. Quasi-stability and exponential attractors for a non-gradient system---applications to piston-theoretic plates with internal damping.  Evolution Equations and Control Theory, 5(4), 2016, 567--603.  DOI Link
  
  
• J. S. Howell, M. Neilan, and N. J. Walkington. A dual-mixed finite element method for the Brinkman problem. SMAI J. Comput. Math., 2, 2016, 1-17. Journal Link
  
  
• J. S. Howell and D. S. Boucher. Temperature Dependence of the Convex Solubility Parameters of Organic Semiconductors. J. Polym. Sci. Part B: Polym. Phys., 54(1), 2016, 81-88. DOI Link
  
  
• J. S. Howell, B. O. Stephens*, and D. S. Boucher. Convex solubility parameters for polymers. J. Polym. Sci. Part B: Polym. Phys., 53(16), 2015, 1089-1097. DOI Link
  
  
• J. S. Howell, H. Lee, and S. Xu. Finite element approximation of viscoelastic flow in a moving domain.Elect. Trans. Numer. Anal., 41, 2014, 306–327. Journal Link
  
  
• J. S. Howell, H. Lee, and S. Xu. Numerical study of a viscoelastic flow in a moving domain. Proceedings of the 8th International Conference on Scientific Computing and Applications, Contemp. Math. Series no. 586, Amer. Math. Soc., 2013, 181--188. Link
  


• J. S. Howell and N. J. Walkington. Dual-mixed finite element methods for the Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 47, 2013, 789-805. DOI link.

• J. S. Howell, H. Lee, and S. Xu. Numerical study of a viscoelastic flow in a moving domain. Proceedings of the 8th International Conference on Scientific Computing and Applications, Contemp. Math. Series no. 586, Amer. Math. Soc., , 2013, 181--188. DOI link.

• J. M. Connors and J. S. Howell. A fluid-fluid interaction method using decoupled subproblems and differing time steps.  Numer. Methods PDE, 28(4), 2012, 1283--1308. DOI link.

• J. M. Connors, J. S. Howell, and W. J. Layton.  Decoupled timestepping methods for fluid-fluid interaction. SIAM J. Numer. Anal. 50(3), 1297--1319. DOI link.

• J. S. Howell.  Approximation of generalized Stokes problems using dual-mixed finite elements without enrichment.  Inter. J. Numer. Methods Fluids 67(2) 2011, 247–-268.  DOI link
  

• J. S. Howell and N. J. Walkington.  Inf-sup conditions for twofold saddle point problems. Numer. Math.  118(4) 2011, 663--693. DOI link

• J. S. Howell.  Dual-mixed finite element approximation of Stokes and nonlinear Stokes problems using trace-free velocity gradients.  J. Comput. Appl. Math. 231(2) , 2009, 780-792.  DOI link.

• J. M. Connors, J. S. Howell, and W. J. Layton. Partitioned timestepping for a two-domainparabolic problem. SIAM J. Numer. Anal.  47(5) 2009, 3526--3549.  DOI link

• J. S. Howell.  Computation of viscoelastic fluid flows using continuation methods.  J. Comput. Appl. Math. 225(1) 2009, 187-201.  DOI link.

• V. J. Ervin, J. S. Howell, I. Stanculescu.  A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem.  Comput. Methods Appl. Mech. Engrg. 197(33-40) 2008, 2886-2900. DOI link.

• V. J. Ervin, J. S. Howell, H. Lee. A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow.  Appl. Math. Comput. 196(2) 2008, 818-834.  DOI link.

• J.  S. Howell.  Numerical approximation of shear-thinning and Johnson-Segalman viscoelastic fluid flows.  Ph.D. Thesis, Clemson University, 2007.  PDF (2Mb)

• S. Gao, J. Howell. A general polynomial sieve. Designs and codes---a memorial tribute to Ed Assmus. Des. Codes Cryptogr. 18 (1999), no. 1-3, 149--157. DOI link.

• S. Gao, J. Howell, D. Panario. Irreducible polynomials of given forms.  Finite fields: theory, applications, and algorithms (Waterloo, ON, 1997), 43--54, Contemp. Math., 225, Amer. Math. Soc., Providence, RI, 1999.  DOI link.

• J. Howell.The index calculus algorithm for discrete logarithms. Master's Project. Mathematical Sciences, Clemson University (1998).  PDF (6Mb)

Presentations:

• Where the Nonzero Things Are, Colloquium, Department of Mathematics, College of Charleston, September 2016.
  
  
• Prestructuring sparse matrices with dense rows for direct solvers, AMS Southeastern Sectional Meeting, Athens, GA, March 2016.
  
  
• Dual-mixed finite element methods for the Brinkman problem, SIAM Conference on Computational Science and Engineering (CSE15), Salt Lake City, UT, March 2015.
  
  
• An early course on modeling and computation with differential equations, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, January 2014.
  
  
• Inf-sup conditions and mixed finite element methods, Computational Mathematics Seminar, Clemson University, May 2013.
  
  
• To Be Continued...A Brief Introduction to Continuation Methods, Colloquium, Department of Mathematics, College of Charleston, November 2012.
  
  
• Dual--mixed finite element methods for the Navier--Stokes Equations, 8th International Conference on Scientific Computing and Applications (SCA2012), Las Vegas, NV, April 2012.
  
  
• Numerical analysis and computation of hemodynamical flows, Colloquium, Department of Mathematics, College of Charleston, February 2012.
  
  
• Dual-mixed finite element methods for the Navier-Stokes equations, Analysis and PDE Seminar, University of Delaware, Newark, DE, May, 2011.

• Dual-mixed finite element methods for the Stokes and Navier-Stokes equations, Minisymposium on Algorithm Analysis, Design and Computation for Turbulent Flows, SIAM Annual Meeting (AN10), Pittsburgh, PA, July, 2010.

• Compatible dual-mixed finite element methods for fluids, Computational and Applied Mathematics Seminar, University of Pittsburgh, Pittsburgh, PA, March 2010.

• Dual-mixed finite element methods for fluids, Mathematics Colloquium,Clarkson University, Potsdam, NY, February 2010.

• Modeling and simulation of problems in fluid dynamics, Colloquium, The Wilkes Honors College of Florida Atlantic University, Jupiter, FL, January 2010.

• Dual--mixed finite element methods for fluids, Colloquium, Missouri University of Science \& Technology, Rolla, MO, January 2010.

• Dual-mixed finite element methods for fluids, Special Guest Lecture, Louisiana State University Center for Computation & Technology, Baton Rouge, LA, January 2010.

• Analysis and approximation of coupled fluid/elastic structure models arising in vascular fluid dynamics. CNA Working Group on Recent Advances in Analysis and Approximation of Fluids, Carnegie Mellon University, Pittsburgh, PA, September 2009.

• Inf-Sup Conditions for Twofold Saddle Point Problems, BCAM Seminar, Basque Center for Applied Mathematics, Bilbao, Spain, July 2009.

• Dual-Mixed Finite Element Methods for the Steady Stokes Problem Using Arnold-Winther Tensors, Finite Element Circus, University of Delaware, Newark, DE, April 2009.

• Dual-Mixed Finite Element Approximation of Stokes and Generalized Stokes Problems, SIAM Conference on Computational Science and Engineering, (CSE09), Miami, FL, March 2009.

• Low-Order Finite Element Approximation of Nonlinear Generalized Stokes Problems, 10th Copper Mountain Conference on Iterative Methods, Copper, CO, April 2008.

• Approximating the stress tensor in nonlinear generalized Stokes problems, Finite Element Circus and Rodeo, Louisiana State University Center for Computation & Technology, Baton Rouge, LA, March 2008.

• Saddle Point Problems and Inf-Sup Conditions, US-Chile Workshop: New Developments in Partial Differential Equations II, Universidad de Chile, Santiago, Chile, January 2008.

• Dual-Mixed Approximation of Generalized Stokes Problems, Computational and Applied Mathematics Seminar, University of Pittsburgh, Pittsburgh, PA, September 2007.

• Computing viscoelastic fluid flows at high Weissenberg number, SIAM Conference on Computational Science and Engineering (CSE07), Costa Mesa, CA, February 2007.

• Finite element approximation of partial differential equations using FreeFEM++ (with J. Chrispell), USC SIAM Student Chapter Seminar, Columbia, SC, February 2007.

• Defect-correction methods for finite element computations of viscoelastic fluid flow, AMS-MAA Joint Mathematics Meetings, New Orleans, LA, January 2007.

• Computing viscoelastic fluid flows at high Weissenberg number, Computational Mathematics Seminar, Clemson University, October 2006.

• Computing viscoelastic fluid flows at high Weissenberg number, South Eastern Atlantic Mathematical Sciences Workshop (Cha-Cha Days), Charleston, SC, October 2006.

• Implementation and performance of a two-grid method for nonlinear reaction-diffusion equations, Ninth Copper Mountain Conference on Iterative Methods, Copper, CO, April 2006.

• Iterative defect-correction strategies for viscoelastic fluid flow, Joint Meeting of the MAA Southeastern Section and the SIAM Southeast Atlantic Section, Auburn, AL, April 2006.

• A defect-correction method for viscoelastic fluid flow, CASC Work In Progress seminar, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, August 2005.

• Applying a defect correction method to viscoelastic fluid flow, SIAM-Southeastern Atlantic Region Annual Meeting, Charleston, SC, March 20005.

• Irreducible polynomials of given forms, Fq4 - The Fourth International Conference on Finite Fields and Applications, Waterloo, ON, August 1997.

• Graduate Student Seminar (2), Mathematical Sciences, Clemson University, March 2005, March 2006.