Adaptive Nyström-Runge-Kutta-Methoden für gewöhnliche Differentialgleichungssysteme zweiter Ordnung
Copyright policy )Adaptive Nyström-Runge-Kutta-Methoden für gewöhnliche Differentialgleichungssysteme zweiter Ordnung
Fur Differentialgleichungen zweiter Ordnung ohne erste Ableitungen wird eine Klasse verallgemeinerter Nystrom-Verfahren hergeleitet. Diese Verfahren beruhen auf einer lokalen Linearisierung des Differentialgleichungssystems. Die linear impliziten Verfahren haben bei geeigneter Wahl der Stabilitatsmatrix ein unendliches Stabilitatsintervall. Sie eignen sich fur die Integration von grosen Systemen gewohnlicher Differentialgleichungen, die durch Semi-Diskretisierung aus hyperbolischen Differentialgleichungen zweiter Ordnung entstehen.
Method of lines for initial value and initial-boundary value problems involving PDEs, linear implicit methods, local linearization, infinite interval of stability, large systems, stability matrix, Initial value problems for second-order hyperbolic equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, generalized Nyström-methods
Method of lines for initial value and initial-boundary value problems involving PDEs, linear implicit methods, local linearization, infinite interval of stability, large systems, stability matrix, Initial value problems for second-order hyperbolic equations, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, generalized Nyström-methods
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