Tian Luan, Fuming Ma, Minghui Liu, ERROR ESTIMATION FOR NUMERICAL METHODS USING THE ULTRA WEAK VARIATIONAL FORMULATION IN MODEL OF NEAR FIELD SCATTERING PROBLEM, Journal of Computational Mathematics, ...

In numerical analysis, we focus on developing and analysing advanced discretization schemes, including their stability and convergence properties, using, e.g., tools from functional analysis.

YAN XU, CHI-WANG SHU, OPTIMAL ERROR ESTIMATES OF THE SEMIDISCRETE LOCAL DISCONTINUOUS GALERKIN METHODS FOR HIGH ORDER WAVE EQUATIONS, SIAM Journal on Numerical Analysis, Vol. 50, No. 1 (2012), pp.