Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms

On the numerical solution of heat conduction problems in two and three space variables

Jim Douglas, H.H. Rachford · Transactions of the American Mathematical Society · 1956 · 1.7K citations

Engineering, Mechanical Engineering, Computational Heat Transfer +6

Alternating direction methods for three space variables

Jim Douglas · Numerische Mathematik · 1962 · 496 citations

Natural Sciences, Aerospace Engineering, Mathematics +3

A finite‐difference method of high‐order accuracy for the solution of three‐dimensional transient heat conduction problems

P. L. T. Brian · AIChE Journal · 1961 · 160 citations

Engineering, Computational Engineering, Mechanical Engineering +16

An alternating-direction implicit scheme for parabolic equations with mixed derivatives

I. J. D. Craig, A. D. Sneyd · Computers & Mathematics with Applications · 1988 · 138 citations

Natural Sciences, Mathematics, Differential Equations +11

Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms

K.J. in 't Hout, Bruno D. Welfert · Applied Numerical Mathematics · 2006 · 106 citations

Natural Sciences, Computational Engineering, Mathematics +14