The stability of the fourth order Runge-Kutta method for the solution of systems of differential equations

Authors:
Abbas I. Abdel Karim
Affiliations:
Cairo, Egypt, U.A.R
Venue:
Communications of the ACM
Year:
1966

Citing 3
Cited 1

Error Bounds for the Runge-Kutta Single-Step Integration Process

Journal of the ACM (JACM)
A Stability Criterion for Numerical Integration

Journal of the ACM (JACM)
Numerical Methods for Scientists and Engineers

Numerical Methods for Scientists and Engineers

A numerical integration technique for ordinary differential equations with widely separated eigenvalues

IBM Journal of Research and Development

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Abstract

The problem of the region of stability of the fourth order-Runge-Kutta method for the solution of systems of differential equations is studied. This region can be characterized by means of linear transformation but can not be given in a closed form. In the paper, this region is determined by the electronic digital computer Z22.