Mathematics and Statistics

Tong Sun, Ph.D.

Research Interests

• Numerical smoothness and long-time error estimation for nonlinear evolution equations.
• Numerical analysis and scientific computing.
• Finite element methods for thin plates and shells.
• Software development for general mixed finite element methods.

Education

• Ph.D., Mathematics and Scientific Computation, Texas A&M University, 1997.

Selected Publications

• T. Sun, Numerical smoothness and error analysis for WENO on nonlinear conservation laws, submitted to Numerical Methods for PDEs, October 2, 2011.
• T. Sun and D. Rumsey, Numerical smoothness and error analysis for RKDG on the scalar nonlinear conservation laws, submitted to SIAM Journal on Numerical Analysis, September 24, 2010.
• D.Rumsey and T. Sun, A smoothness/shock indicator for the RKDG methods, Applied Mathematics Letters, 23 (2010), p1425-1431.
• T. Sun, Numerical smoothing of Runge-Kutta schemes, Journal of Computational and Applied Mathematics, 233 (2009) p1056-1062.
• T. Sun and D. Fillipova, Long-time error estimation on semi-linear parabolic equations, Computational and Applied Mathematics, 185 (2006), p1-18.
• T. Sun, Stability and error analysis on partially implicit schemes, Numerical Methods for Partial Differential Equations, 21 (2005), p843-858.
• J. Bramble and T. Sun, A locking-free finite element method for Naghdi shells, Journal of Computational and Applied Mathematics, (89) 1998, p119-133.