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H. S. Rahme

dblp:24/3951 · DBLP profile ↗
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2ranked-venue papers
2as first author
0since 2021 · last 1970
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Applied, interdisciplinary, general and emerging computing · 2 · 2 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Interdisciplinary, comprehensive, and emerging computing
2 papers
Computational science and engineering · 100%

Topics — the 4 heaviest of 4, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Computational science and engineering
numerical analysis		 0.021970
Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations · J. ACM 1970
A New Look at the Numerical Integration of Ordinary Differential Equations · J. ACM 1969
Computational science and engineering › numerical analysis › numerical integration
ordinary differential equation solver		 0.021970
Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations · J. ACM 1970
A New Look at the Numerical Integration of Ordinary Differential Equations · J. ACM 1969
Computational science and engineering › numerical analysis
predictor-corrector methods		 0.011970
Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations · J. ACM 1970
Computational science and engineering › numerical solution of differential equations
runge-kutta methods		 0.011970
Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations · J. ACM 1970

Methods — techniques the papers use, named apart from their topics

trial-and-error stability region determination · 0.0maximum accuracy and stability constraint · 0.0linear and nonlinear ODE integration · 0.0diagonalization of jacobian · 0.0
YearPublicationVenuePosition
1970 Stability Analysis of a New Algorithm Used for Integrating a System of Ordinary Differential Equations
abstract
This paper is concerned with determining the stability condition for a new algorithm which can be used to integrate a system of ordinary differential equations.In addition to providing maximum accuracy and stability at each time step, the new algorithm displays a stability region almost twice that of the Runge-Kutta and equal to several times the stability region of the most stable predictor-corrector method.The mathematical analysis was made possible by diagonalizing the matrix OF/OY and the stability region of the new algorithm was determined by a trial-and-error procedure programmed for the IBM 360/75 digital computer.
H. S. Rahme
 J. ACM1
1969 A New Look at the Numerical Integration of Ordinary Differential Equations
abstract
AnSTRACT.A new method for integrating ordinary differential equations is described.The algorithm presented, which is based on the double constraint of maximum accuracy and stability at each time step during the integration, has a very large stability zone and is suitable for integrating both linear and nonlinear ordinary differential equations, as well as equations which have large dependence on the dependent variable.
H. S. Rahme
 J. ACM1