Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

EULER METHOD VS. GESS METHOD FOR DYNAMICAL SYSTEMS

  • DONG WON YU (Department of Mathematics Chung-Ang University)
  • Published : 1997.06.01

⟨ Previous Next ⟩

Abstract

In this paper we introduce GESS method and show that dynamics of the system ｙ＇=A(s,t,y) ｙ is more faithfully approxi-mated by GESS method that by Euler method. Numerical experiments are given for the comparison of GESS method with Euler method.

Keywords

References

  1. J. Inst. Maths. Applics. v.16 Generalized Runge-Kutta provesses for stiff initial-value problems B. L. Ehle;J. D. Lawson
  2. Differential equations, dynamical systems, and linear algebra M. W. Hirsch;S. Smale
  3. SIAM J. Numer. Anal. v.4 Generalized Runge-Kutta processes for stable systems with large Lipschitz constants J. D. Lawson
  4. Generalized Runge-Kutta methods for nonlinear dynamical systems D. W. Yu