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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Displaying similar documents to “Order conditions for partitioned Runge-Kutta methods”
Fifth-order Runge-Kutta with higher order derivative approximations.
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K. Strehmel, R. Weiner, J. Bruder (1987/88)
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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On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.
E. Gekeler, R. Widman (1986/87)
Numerische Mathematik
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Natural Runge-Kutta and Projection Methods.
Marino Zennaro (1988)
Numerische Mathematik
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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.
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Görtz, Peter, Scherer, Rudolf (1994)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Partitioned Adaptive Runge-Kutta Methods and Their Stability.
K. Strehmel, R. Weiner (1984)
Numerische Mathematik
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