Fu, Guosheng; Shu, Chi-Wang Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. (English) Zbl 1380.65261 Int. J. Numer. Anal. Model. 14, No. 4-5, 477-499 (2017). Summary: In this paper, we analyze implicit-explicit (IMEX) Runge-Kutta (RK) time discretization methods for solving linear convection-diffusion equations. The diffusion operator is treated implicitly via the embedded discontinuous Galerkin (EDG) method and the convection operator explicitly via the upwinding discontinuous Galerkin method. Cited in 7 Documents MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35K57 Reaction-diffusion equations Keywords:embedded discontinuous Galerkin method; upwinding discontinuous Galerkin method; implicit-explicit Runge-Kutta time-marching scheme; convection-diffusion equation; stability; error estimate; energy method PDFBibTeX XMLCite \textit{G. Fu} and \textit{C.-W. Shu}, Int. J. Numer. Anal. Model. 14, No. 4--5, 477--499 (2017; Zbl 1380.65261) Full Text: Link