Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index 1.
K. Strehmel, R. Weiner, M. Arnold (1993)
Numerische Mathematik
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Displaying similar documents to “The numerical solution of linear time-varying DAEs with index 2 by IRK methods.”
Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index 1.
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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Self-similar solutions for the two-dimensional Nernst-Planck-Debye system
Łukasz Paszkowski (2012)
Applicationes Mathematicae
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We investigate the two-component Nernst-Planck-Debye system by a numerical study of self-similar solutions using the Runge-Kutta method of order four and comparing the results obtained with the solutions of a one-component system. Properties of the solutions indicated by numerical simulations are proved and an existence result is established based on comparison arguments for singular ordinary differential equations.
An Algebraic Characterization of B-convergent Runge-Kutta Methods.
W.H. Hundsdorfer, J. Schneid (1989/90)
Numerische Mathematik
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Convergence and Order Reduction of Runge-Kutta Schemes Applied to Evolutionary Problems in Partial Differential Equations.
J.G. Verwer, J.M. Sanz-Serna (1986/87)
Numerische Mathematik
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Stability and B-Convergence of Linearly Implicit Runge-Kutta Methods.
W.H. Hundsdorfer (1986/87)
Numerische Mathematik
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Partitioned Runge-Kutta Methods with Stiffness Detection and Stepsize Control.
Peter Rentrop (1985)
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.
Monotonicity and Boundedness in Implicit Runge-Kutta Methods.
M.N. Spijker (1986/87)
Numerische Mathematik
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