On Difference Methods for Parabolic Equations and Alternating Direction Implicit Methods for Elliptic Equations

Matrix Iterative Analysis

2000 • 5,826 citations

Partial Differential Equations of Parabolic Type

1964 • 3,703 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

A general formulation of alternating direction methods

1964 • 709 citations

Alternating direction methods for three space variables

1962 • 489 citations

Integration of Equations of Parabolic Type by the Method of Nets

1964 • 227 citations

R.D.Richtmyer: Difference Methods for Initial-Value Problems. Interscience Pub. Inc. New York, 1957, xii+238頁, 15×23cm, \2,600.

1958 • 196 citations

Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren

1962 • 170 citations

Alternating Direction Implicit Methods

1962 • 162 citations

A linear three-level difference scheme for quasilinear parabolic equations

1966 • 158 citations

On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations

1963 • 147 citations

A Survey of Numerical Methods for Parabolic Differential Equations

1961 • 136 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

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

1961 • 67 citations

Stability of parabolic difference schemes in the maximum norm

1966 • 54 citations

On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region

1963 • 47 citations

Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics (Eugene L. Wachspress)

1967 • 46 citations

On the rate of convergence of an alternating direction implicit method in a noncommutative case

1966 • 39 citations

Hyperbolic Difference Equations: A Review of the Courant-Friedrichs-Lewy Paper in the Light of Recent Developments

1967 • 38 citations

On the stability of parabolic difference schemes

1965 • 32 citations

An Extrapolated Crank-Nicolson Difference Scheme for Quasilinear Parabolic Equations††This research was supported in part by NSF Grant GP-5553.

1967 • 23 citations

On the stability of certain finite difference approximations to parabolic systems of differential equations

1963 • 21 citations

�ber implizite Differenzmethoden f�r partielle Differentialgleichungen

1963 • 20 citations

The stability of finite difference approximations to second order linear parabolic differential equations

1963 • 18 citations

A note on the convergence of alternating direction methods

1962 • 9 citations

Some locally one-dimensional difference schemes for parabolic equations in an arbitrary region

1966 • 6 citations

Elliptic Equations

1967 • 2 citations