Results 221 to 230 of about 13,068 (272)

Runge-Kutta-Methoden

1992
Dieses Kapitel gibt eine Ubersicht uber Runge-Kutta-Methoden und ihre Stabilitatseigenschaften, die fur das Verstandnis der nachfolgenden Kapitel erforderlich ist. Auf Fragen der Implementierung impliziter RK-Methoden sowie der Schrittweitensteuerung wird eingegangen.
Karl Strehmel, Rüdiger Weiner
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Unconditionally positive and conservative third order modified Patankar–Runge–Kutta discretizations of production–destruction systems

, 2017
Modified Patankar–Runge–Kutta (MPRK) schemes are numerical methods for the solution of positive and conservative production–destruction systems. They adapt explicit Runge–Kutta schemes to ensure positivity and conservation irrespective of the time step ...
S. Kopecz, A. Meister
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Runge-Kutta-Verfahren

1983
Ein alteres, aber dennoch viel praktiziertes Verfahren zur Losung eines Anfangswertproblems einer gewohnlichen Differentialgleichung 1. Ordnung Open image in new window ist das Runge-Kutta-Verfahren.
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Efficient symplectic Runge–Kutta methods

Applied Mathematics and Computation, 2006
The authors consider the efficiency of symplectic Runge-Kutta methods with real eigenvalues for the numerical integration of initial value problems for systems of ordinary differential equations.
Chan, R. P. K., Liu, Hongyu, Sun, Geng
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Runge-Kutta Designs

2001
Most of the other Maple examples in this text have made use of Maple built-in facilities, and have required the user to write at most one or two “wrapper” routines to accomplish the desired end. When the problem at hand is to derive a set of order (truncation accuracy) condition for Runge-Kutta schemes, more serious Maple programming is required ...
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Positivity of Runge-Kutta and diagonally split Runge-Kutta methods

Applied Numerical Mathematics, 1998
The author investigates positivity of general Runge-Kutta and diagonally split Runge-Kutta methods for the numerical solution of positive initial value problems for ordinary differential equations. Conditions for the maximal stepsize in term of the radius of positivity of the Runge-Kutta method which guarantees positivity are given.
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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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Runge—Kutta formulae

International Journal of Mathematical Education in Science and Technology, 1975
The Runge‐Kutta formulae are well known in their usage to obtain the numerical solutions of differential equations. Utilizing only elementary ideas in numerical integration, we may easily derive these formulae.
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Runge—Kutta-Approximationen

1969
Bei der Herleitung und Untersuchung von Runge—Kutte-Verfahren benutzt man meistens Taylorabgleich in Verbindung mit Differentialoperatoren oder Differentialausdrucken, siehe etwa [1] oder [2]. Vom Verf. wurde eine andere Methode vorgeschlagen: Verwendung des rekursiven Aufbaus der Runge—Kutta-Formeln im Zusammenhang mit Integrationsverfahren.
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Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes

, 1981
A. Jameson, W. Schmidt, Eli Turkel
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