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Explicit two-step Runge-Kutta methods

Zdzisław Jackiewicz, Rosemary Anne Renaut, Marino Zennaro (1995)

Applications of Mathematics

The explicit two-step Runge-Kutta (TSRK) formulas for the numerical solution of ordinary differential equations are analyzed. The order conditions are derived and the construction of such methods based on some simplifying assumptions is described. Order barriers are also presented. It turns out that for order $p \leq 5$ the minimal number of stages for explicit TSRK method of order $p$ is equal to the minimal number of stages for explicit Runge-Kutta method of order $p - 1$ . Numerical results are presented which...

Explizite Konstruktion von linearen Mehrschrittblockverfahren

Reiner Vanselow (1983)

Aplikace matematiky

In der vorliegenden Arbeit wird für lineare Mehrschrittblock verfahren zur numerischen Lösung von Anfangswertaufgaben eine explizite Konstruktionsmöglichkeit angegeben. Sie ermöglicht es, zu einem gegebenen Stabilitätspolynom ohne Lösung eines linearen Gleichungssystems die Koefizienten des zugehörigen Blockverfahrens zu berechnen.

Displaying 21 – 25 of 25

Explicit two-step Runge-Kutta methods

Explizite Konstruktion von linearen Mehrschrittblockverfahren

Exponential Multistep Methods for Ordinary Differential Equations

Extensions of the HHT- $α$ method to differential-algebraic equations in mechanics.

Extrapolation at Stiff Differential Equations.

Currently displaying 21 – 25 of 25

Displaying 21 – 25 of 25

Explicit two-step Runge-Kutta methods

Explizite Konstruktion von linearen Mehrschrittblockverfahren

Exponential Multistep Methods for Ordinary Differential Equations

Extensions of the HHT- α method to differential-algebraic equations in mechanics.

Extrapolation at Stiff Differential Equations.

Currently displaying 21 – 25 of 25

Extensions of the HHT- $α$ method to differential-algebraic equations in mechanics.