List of Publications and
Much of my current research is motivated by different aspects
of numerical and computation of fluid/fluid and fluid/structure
interaction problems. These problems arise in the study of many
physical and biological phenomena, such as ocean-atmosphere
interaction and modeling of blood or mucus flows in elastic
membranes. Areas of current projects are:
- Undergraduate research in applied and computational mathematics
- Finite element methods for fluid and solid mechanics
- Numerical methods for viscoelastic fluids
- Numerical methods for fluid/fluid and fluid/structure
- Computation of solubility parameters for polymers
- Solving large sparse linear systems with dense rows
Mathematical Research Interests:
- Numerical Analysis and Scientific Computing: Finite
Element Methods, Saddle Point Problems, Inf-Sup Conditions,
Finite Difference Methods, Temporal Integration Methods for
Systems of Ordinary Differential Equations, Defect
Correction Methods, Continuation Methods,
Operator-Splitting Methods, Linear and Nonlinear Solvers,
Adaptive Computation, Multigrid Methods
- Fluid Mechanics: Newtonian and non-Newtonian Fluids,
Viscoelastic Fluids, Existence and Uniqueness of Solutions
to Steady-State Flows, Computational Fluid Dynamics,
Fluid/Fluid and Fluid/Structure Interaction Problems
- Partial Differential Equations: Linear and Nonlinear
PDEs, Stokes and Navier-Stokes Equations,
- Other interests: Polynomials over Finite Fields,
Cryptography, Undergraduate Mathematics Education
- Tools: C, C++, Java, Fortran, Visual Basic, MATLAB,
Maple, MPI, Linux, Unix, FreeFem++,
- Graduate Research Assistant, Department of
August 2004 - August 2007.
Performed research funded by NSF grant for computational
analysis of viscoelastic fluid flow with applications.
- Summer Scholar, Institute for Scientific
Lawrence Livermore National
Laboratory, Livermore, CA
May 2004 - August 2004, May 2005 - September 2005, May 2006
- June 2006.
Woodward, Center for
Applied Scientific Computing.
Solvers and Differential Equations.
Worked on research projects on two-grid methods for
reaction-diffusion problems and operator splitting methods
for reaction-diffusion problems. Collaborated with
researchers from Sandia National Laboratory and the
University of Texas.
- Research Associate/Database Administrator, Clemson Apparel
May 1999 - August 2002.
Worked on multiple projects including color clustering
software and inventory management systems. Served as system
administrator for MS Windows domain, file server, and more
than 20 client computers. Programmed in Visual Basic, ASP,
MS Access, SQL, HTML, C languages.
Jason S Howell;
Department of Mathematics;
College of Charleston; 66 George Street; Charleston, SC 29424;
843-953-1016 (office); 843-953-1410 (fax);
email: howelljs at cofc dot edu
Copyright � 2012 Jason
please send me any questions or comments.