Perturbed Collocation and Runge-Kutta Methods.
S.P. Norsett, G. Wanner (1982)
Numerische Mathematik
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Displaying similar documents to “On Runge-Kutta, collocation and discontinuous Galerkin methods: Mutual connections and resulting consequences to the analysis”
Perturbed Collocation and Runge-Kutta Methods.
Time discretizations for evolution problems
Miloslav Vlasák (2017)
Applications of Mathematics
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The aim of this work is to give an introductory survey on time discretizations for liner parabolic problems. The theory of stability for stiff ordinary differential equations is explained on this problem and applied to Runge-Kutta and multi-step discretizations. Moreover, a natural connection between Galerkin time discretizations and Runge-Kutta methods together with order reduction phenomenon is discussed.
Fifth-order Runge-Kutta with higher order derivative approximations.
Goeken, David, Johnson, Olin (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Runge-Kutta Theory for Volterra Integrodifferential Equations
C. Lubich (1982)
Numerische Mathematik
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Partitioned Adaptive Runge-Kutta Methods for the Solution of Nonstiff and Stiff Systems.
K. Strehmel, R. Weiner, J. Bruder (1987/88)
Numerische Mathematik
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Order conditions for partitioned Runge-Kutta methods
Zdzisław Jackiewicz, Rossana Vermiglio (2000)
Applications of Mathematics
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We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential equations.
Implicit Runge- Kutta Methods for Second Kind Volterra Integral Equations.
R. Weiss, F. de Hoog (1974/75)
Numerische Mathematik
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On the unique solvability of the Runge-Kutta equations.
J.F.B.M. Kraaijevanger, J. Schneid (1991)
Numerische Mathematik
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