Results 221 to 230 of about 11,022,643 (271)

Stochastic analysis of compact stars under composite polytropes. [PDF]

open access: yesSci Rep
Nouh MI   +3 more
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Improved Runge–Kutta–Chebyshev methods

Mathematics and Computers in Simulation, 2020
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Xiao Tang, Aiguo Xiao
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THE DYNAMICS OF RUNGE–KUTTA METHODS

International Journal of Bifurcation and Chaos, 1992
The first step in investigating the dynamics of a continuous-time system described by an ordinary differential equation is to integrate to obtain trajectories. In this paper, we attempt to elucidate the dynamics of the most commonly used family of numerical integration schemes, Runge–Kutta methods, by the application of the techniques of dynamical ...
Cartwright, Julyan H. E., Piro, Oreste
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Runge–Kutta methods in elastoplasticity

Applied Numerical Mathematics, 2002
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Büttner, Jörg, Simeon, Bernd
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On the Stability of Volterra–Runge–Kutta Methods

SIAM Journal on Numerical Analysis, 1984
This paper examines the stability properties of extended Runge-Kutta methods when applied to Volterra integral equations of the second kind of the form \[ y(x)=f(x)+\lambda \int^{x}_{0}k(x-s)y(s)ds\quad(x\geq 0) \] where \(Re(\lambda)0\), \(k_ 0(x)=\overline{k_ 0(-x)}\), \(x\leq 0\) there is no such order barrier.
Hairer, Ernst, Lubich, Christian
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Interpolation for Runge–Kutta Methods

SIAM Journal on Numerical Analysis, 1985
The author discusses a new method for interpolation between mesh points of Runge-Kutta algorithms for the approximate solution of ordinary differential equations. The method is shown to fall under the classification of scaled Runge-Kutta algorithms as considered by \textit{M. K. Horn} [ibid. 20, 558-568 (1983; Zbl 0511.65048)].
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Multiplicative Runge–Kutta methods

Nonlinear Dynamics, 2007
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