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MOC
1998
73views more  MOC 1998»
13 years 7 months ago
Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
J. C. Butcher, R. P. K. Chan
MOC
1998
62views more  MOC 1998»
13 years 7 months ago
Numerical evaluation of a symmetric potential function
Abstract. We discuss the numerical evaluation of a symmetric potential function which arises naturally in applications. We present a method designed to accurately and efficiently c...
Lori A. Carmack
INFORMATICALT
2000
126views more  INFORMATICALT 2000»
13 years 7 months ago
Adaptive Integration of Stiff ODE
The accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The analysis is done by comparing the discrete and exact amplification factors of the equatio...
Raimondas Ciegis, Olga Suboc, Remigijus Ciegis
MOC
1998
66views more  MOC 1998»
13 years 7 months ago
The d2-transformation for infinite double series and the D2-transformation for infinite double integrals
New transformations for accelerating the convergence of infinite double series and infinite double integrals are presented. These transformations are generalizations of the univa...
Chen Greif, David Levin