Alternating direction and semi-explicit difference methods for parabolic partial differential equations

�ber die partiellen Differenzengleichungen der mathematischen Physik

1928 • 3,608 citations

The Numerical Solution of Parabolic and Elliptic Differential Equations

1955 • 3,182 citations

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

1956 • 1,626 citations

Finite-Difference Methods for Partial Differential Equations

1961 • 1,382 citations

Survey of the stability of linear finite difference equations

1956 • 761 citations

Symmetric hyperbolic linear differential equations

1954 • 652 citations

Finite-Difference Methods for Partial Differential Equations.

1961 • 509 citations

Finite-Difference Methods for Partial Differential Equations

1962 • 361 citations

Stability conditions in the numerical treatment of parabolic differential equations

1953 • 282 citations

On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods

1955 • 278 citations

Stability Conditions in the Numerical Treatment of Parabolic Differential Equations

1953 • 270 citations

Die partiellen Differentialgleichungen der mathematischen Physik

1901 • 125 citations

Implicit alternating direction methods

1959 • 88 citations

A priori estimates for the solutions of difference approximations to parabolic partial differential equations

1960 • 79 citations

Energy inequalities for the solution of differential equations

1960 • 47 citations

On the Relation Between Stability and Convergence in the Numerical Solution of Linear Parabolic and Hyperbolic Differential Equations

1956 • 44 citations

von Newmann difference approximation to hyperbolic equations

1960 • 38 citations

Über die Lösung des Cauchyproblems für Lineare Partielle Differentialgleichungen mit Hilfe von Differenzengleichungen: Teil 1: Stabile Systeme von Differenzengleichungen

1959 • 28 citations

The scope of the energy method

1960 • 17 citations