.... In the context of singularly perturbed problems, parameter-uniform numerical methods for scalar convection–diffusion problems with discontinuous data are rich (Farrell et al., 2004a ; Dunne and O’Riordan, 2006 ; O’Riordan and Shishkin, 2004). However, the numerical resolution of coupled multiscale...

...Dr Hong-Yan Liu and Dr Ji-Huan He; Fazhan Geng; Suping Qian; Shuai Li Purpose – The purpose of this paper is to find an effective numerical method for solving singularly perturbed convection-diffusion problems. Design/methodology/approach – The present method is based on the asymptotic...

... the numerical diffusion errors. The scheme is transportive, conservative, bounded, stable and accurate enough so as to be suitable for inclusion into a general purpose solution algorithm. © MCB UP Limited 1995 Finite differencing schemes Boundedness property Convection‐diffusion problems INT. J...

...L.C. WROBEL; D.B. DE FIGUEIREDO This paper presents a boundary element formulation for transient convection‐diffusion problems employing the fundamental solution of the corresponding steady‐state equation with constant coefficients and a dual reciprocity approximation. The formulation allows...