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.

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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.