Alternating direction and semi-explicit difference methods for parabolic partial differential equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/BF01386038/fulltext.html
Reference15 articles.
1. Birkhoff, G., andR. S. Varga: Implicit alternating direction methods. Trans. Amer. Math. Soc.92, 13 (1959).
2. Courant, R., K. O. Friedrichs u.H. Lewy: Über die partiellen Differentialgleichungen der Mathematischen Physik. Math. Ann.100, 32 (1928).
3. Douglas Jr., J.: On the numerical integration of $$\begin{array}{*{20}c} {\partial ^2 u} \\ {\partial x^2 } \\ \end{array} + \frac{{\partial ^2 u}}{{\partial y^2 }} + \frac{{\partial u}}{{\partial t}}$$ by implicit difference methods. J. Soc. Indust. Appl. Math.3, 42 (1955).
4. ?: On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations. J. Soc. Indust. Appl. Math.4, 20 (1956).
5. Douglas Jr., J., andH. H. Rachford Jr.: On the numerical solution of heat conduction problems in two and three space variables. Trans. Amer. Math. Soc.82, 421 (1956).
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