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New third order Runge Kutta based on contraharmonic mean for stiff problems
ODE solver Runge-Kutta method contraharmonic mean
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2010/9/10
In this paper we introduce an explicit one–step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit third order runge-kutta method using the...
Design of new diagonally implicit Runge朘utta methods for stiff problems
ODE solver Runge-Kutta method
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2010/9/15
This paper presents new fifth-order diagonally implicit Runge-Kutta integration formulas for stiff initial value problems, designed to be Lstable method. The stability of the method is analyzed and nu...
An Adaptation of the Scheifele Method to Stiff Systems of Differential Equations
Numerical solutions for perturbed linear ODE systems Stiff problems
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2008/11/10
Many branches of Physics and Engineering use perturbed linear ODE's. One method of resolution is based on the use of Scheifele functions for systems. This paper systematically expands three applicatio...
Optimal Prediction of Stiff Oscillatory Mechanics
Prediction Oscillatory Mechanics
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2010/10/29
We consider many-body problems in classical mechanics where a wide range of time scales limits what can be computed. We apply the method of optimal prediction to obtain equations which are easier to s...