Národní úložiště šedé literatury Nalezeno 2 záznamů.  Hledání trvalo 0.01 vteřin. 
Runge-Kutta methods
Kroulíková, Tereza ; Nechvátal, Luděk (oponent) ; Zatočilová, Jitka (vedoucí práce)
This thesis deals with Runge--Kutta methods for initial value problem. It starts with analysis of Euler method and the order conditions are derived. The modified methods are presented. For two of them is done theoretical examination of order and for all of them, the order is tested numerically. Embedded methods and methods with error estimation based on modified method are presented and numerically tested. In the second part the implicit methods are derived. Then two approaches of constructing implicit embedded methods is presented. Also diagonal implicit method are introduced. Finally, two kinds of stability of presented method is discussed.
Runge-Kutta methods
Kroulíková, Tereza ; Nechvátal, Luděk (oponent) ; Zatočilová, Jitka (vedoucí práce)
This thesis deals with Runge--Kutta methods for initial value problem. It starts with analysis of Euler method and the order conditions are derived. The modified methods are presented. For two of them is done theoretical examination of order and for all of them, the order is tested numerically. Embedded methods and methods with error estimation based on modified method are presented and numerically tested. In the second part the implicit methods are derived. Then two approaches of constructing implicit embedded methods is presented. Also diagonal implicit method are introduced. Finally, two kinds of stability of presented method is discussed.

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