نتایج جستجو برای: runge kutta method

تعداد نتایج: 1631928  

1994
RUDOLF SCHERER

Hamiltonian systems arise in many areas of physics, mechanics, and engineering sciences as well as in pure and applied mathematics. To their symplectic integration certain Runge–Kutta– type methods are profitably applied (see Sanz–Serna and Calvo [10]). In this paper Runge–Kutta and partitioned Runge–Kutta methods are considered. Different features of symmetry are distinguished using reflected ...

2014
Michael Schober David K. Duvenaud Philipp Hennig

Runge-Kutta methods are the classic family of solvers for ordinary differential equations (ODEs), and the basis for the state of the art. Like most numerical methods, they return point estimates. We construct a family of probabilistic numerical methods that instead return a Gauss-Markov process defining a probability distribution over the ODE solution. In contrast to prior work, we construct th...

Journal: :Computers & Mathematics with Applications 1986

Journal: :Journal of Computational and Applied Mathematics 1991

2013
Appanah Rao Appadu

A new explicit fourth-order six-stage Runge-Kutta scheme with low dispersion and low dissipation properties is developed. This new Runge-Kutta scheme is shown to be more efficient in terms of dispersion and dissipation properties than existing algorithms such as Runge-Kutta temporal schemes developed by Hu et al. (1996), Mead and Renaut (1999), Tselios and Simos (2005). We perform a spectral an...

Journal: :SIAM J. Scientific Computing 1997
Piet J. van der Houwen J. J. B. de Swart

It often happens that iteration processes used for solving the implicit relations arising in ODE-IVP methods only start to converge rapidly after a certain number of iterations. Fast convergence right from the beginning is particularly important if we want to use so-called step-parallel iteration in which the iteration method is concurrently applied at a number of step points. In this paper, we...

Journal: :Journal of Mathematics Research 2019

Journal: :Journal of Uncertainty Analysis and Applications 2015

Journal: :International Astronomical Union Colloquium 1978

Journal: :LMS Journal of Computation and Mathematics 2015

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