Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Symplectic Partitioned Runge-Kutta and Symplectic Runge-Kutta Methods Generated by 2-Stage RadauIA Method
View through CrossRef
To preserve the symplecticity property, it is natural to require numerical integration of Hamiltonian systems to be symplectic. As a famous numerical integration, it is known that the 2-stage RadauIA method is not symplectic. With the help of symplectic conditions of Runge-Kutta method and partitioned Runge-Kutta method, a symplectic partitioned Runge-Kutta method and a symplectic Runge-Kutta method are constructed on the basis of 2-stage RadauIA method in this paper.
Title: Symplectic Partitioned Runge-Kutta and Symplectic Runge-Kutta Methods Generated by 2-Stage RadauIA Method
Description:
To preserve the symplecticity property, it is natural to require numerical integration of Hamiltonian systems to be symplectic.
As a famous numerical integration, it is known that the 2-stage RadauIA method is not symplectic.
With the help of symplectic conditions of Runge-Kutta method and partitioned Runge-Kutta method, a symplectic partitioned Runge-Kutta method and a symplectic Runge-Kutta method are constructed on the basis of 2-stage RadauIA method in this paper.
Related Results
Symplectic Bregman Divergences
Symplectic Bregman Divergences
We present a generalization of Bregman divergences in finite-dimensional symplectic vector spaces that we term symplectic Bregman divergences. Symplectic Bregman divergences are de...
Μέθοδοι Runge-Kutta και Runge-Kutta-Nystrom με ειδικές ιδιότητες για την επίλυση διαφορικών εξισώσεων
Μέθοδοι Runge-Kutta και Runge-Kutta-Nystrom με ειδικές ιδιότητες για την επίλυση διαφορικών εξισώσεων
Στην παρούσα διδακτορική διατριβή μελετάται η αριθμητική επίλυση συστημάτων πρωτοβάθμιων και δευτεροβάθμιων συνήθων διαφορικών εξισώσεων με λύση ταλαντωτικής μορφής. Για την αριθμη...
Determination of Pressure-Temperature Conditions of Retrograde Symplectic Assemblages in Granulites and Amphibolites
Determination of Pressure-Temperature Conditions of Retrograde Symplectic Assemblages in Granulites and Amphibolites
Symplectites form during post-orogenic fast uplift processes in orogenic belts, and retrograde Symplectic assemblages mainly consist of plagioclase + quartz ± orthopyroxene ± clino...
Solution of First Order Ordinary Differential Equations Using Fourth Order Runge-Kutta Method with MATLAB.
Solution of First Order Ordinary Differential Equations Using Fourth Order Runge-Kutta Method with MATLAB.
Differential Equations are used in developing models in the physical sciences, engineering, mathematics, social science, environmental sciences, medical sciences and other numerous...
AN ADAPTED SYMPLECTIC INTEGRATOR FOR HAMILTONIAN PROBLEMS
AN ADAPTED SYMPLECTIC INTEGRATOR FOR HAMILTONIAN PROBLEMS
In this paper, a new procedure for deriving efficient symplectic integrators for Hamiltonian problems is introduced. This procedure is based on the combination of the trigonometric...
Lilie, Licht und Gottes Weisheit: Philipp Otto Runge und Jacob Böhme
Lilie, Licht und Gottes Weisheit: Philipp Otto Runge und Jacob Böhme
AbstractThe influence of Jacob Böhme on early Romantic art and its philosophy has been largely neglected by modern scholars, even though tracing the impact of Böhme's writing opens...
Symplectic Effective Order Numerical Methods for Separable Hamiltonian Systems
Symplectic Effective Order Numerical Methods for Separable Hamiltonian Systems
A family of explicit symplectic partitioned Runge-Kutta methods are derived with effective order 3 for the numerical integration of separable Hamiltonian systems. The proposed expl...
Nullspaces yield new explicit Runge--Kutta pairs
Nullspaces yield new explicit Runge--Kutta pairs
Abstract
Sixty years ago Butcher [1] characterized a natural tabulation of the or-
der conditions for Runge{Kutta methods as an isomorphism from the set
of rooted trees hav...