Jun Li

Research

• Modeling hydrodynamic diffusion processes with application to DNA
• Numerical methods for solving integral equations of the second kind
• Sparsification and preconditioning with adapted hierarchical basis

Publications

1. O. Gonzalez and J. Li, Modeling the Sequence-Dependent Diffusion coefficients of Short DNA Sequences , Journal of Chemical Physics 129 (2008) 165105.
2. O. Gonzalez and J. Li, On the Hydrodynamic Diffusion of Rigid Particles of Arbitrary Shape with Application to DNA , submitted to SIAM Journal of Applied Mathematics.
3. J. E. Castrillon-Candas, J. Li and V. Eijkhout, A Discrete Adapted Hierarchical Basis Solver for Radial Basis Function Interpolation , submitted to SIAM Journal of Scientific Computing.
4. Convergence of the Nystrom Method with Singularity Subtraction for Integral Equations of the Second Kind, (with O. Gonzalez), in preparation.
5. O. Gonzalez and J. Li, On the Nystrom Approximation of a New Boundary Integral Formulation of Exterior Stokes Flow , preprint.
6. O. Gonzalez and J. Li, An Analysis of the Regularized Stokeslet Method , preprint.
7. J. Li, A Wavelet Approach to Edge Detection , Master's thesis, Sam Houston State University, Huntsville, Texas, August 2003.