High order ADI method for solving unsteady convection–diffusion problems

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.3K citations

Natural Sciences, Computational Engineering, Physics +17

A single cell high order scheme for the convection‐diffusion equation with variable coefficients

Murli M. Gupta, Ram P. Manohar, J. W. Stephenson · International Journal for Numerical Methods in Fluids · 1984 · 232 citations

Computing, Computational Engineering, Computational Fluid Dynamics +16

A class of higher order compact schemes for the unsteady two‐dimensional convection–diffusion equation with variable convection coefficients

Jiten C. Kalita, D. C. Dalal, Anoop K. Dass · International Journal for Numerical Methods in Fluids · 2002 · 190 citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +16

Extension of high‐order compact schemes to time‐dependent problems

William Spotz, Graham F. Carey · Numerical Methods for Partial Differential Equations · 2001 · 126 citations

Natural Sciences, Computational Engineering, Physics +16

Finite difference methods for solving the two‐dimensional advection–diffusion equation

B. J. Noye, Huan Tan · International Journal for Numerical Methods in Fluids · 1989 · 119 citations

Natural Sciences, Computational Engineering, Physics +14