Alternating direction methods for three space variables

1. Batten, G. W.: To appear.

2. Brian, P. L. T.: A finite difference method of high-order accuracy for the solution of three-dimensional transient heat conduction problems. (To appear in A. I. Ch. E. Journal.)

3. Douglas, J.: On the numerical integration ofu _xx +u _yy =u _t by implicit methods. J. Soc. Ind. Appl. Math.3, 42–65 (1955).

   Google Scholar 

4. —: On the numerical integration of quasi-linear parabolic equations. Pacific J. Math.6, 35–42 (1956).

   Google Scholar 

5. —: On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations. J. Soc. Ind. Appl. Math.4, 20–37 (1956).

   Google Scholar 

6. —: The application of stability analysis in the numerical solution of quasi-linear parabolic differential equations. Trans. Amer. Math. Soc.89, 484–518 (1958).

   Google Scholar 

7. —: Alternating direction iteration for mildly nonlinear elliptic difference equations. Numerische Mathematik3, 92–98 (1961).

   Google Scholar 

8. —: A survey of numerical methods for parabolic differential equations.Advances in Computers, II,F. L. Alt (editor), Academic Press, New York, 1961, pp. 1–54.

   Google Scholar 

9. Douglas, J.: Iterative methods for elliptic difference equations.Partial Differential Equations and Continuum Mechanics,R. E. Langer (editor), Univ. of Wisconsin Press, 1961, pp. 342–344.

10. —, andH. H. Rachford: On the numerical solution of heat conduction problems in two and three space variables. Trans. Amer. Math. Soc.82, 421–439 (1956).

    Google Scholar 

11. Lees, M.: To appear.

12. Peaceman, D. W., andH. H. Rachford: The numerical solution of parabolic and elliptic differential equations. J. Soc. Ind. Appl. Math.3, 28–41 (1955).

    Google Scholar 

Download references