EUDML | Runge-Kutta methods for parabolic equations with nonsmooth initial data

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Displaying similar documents to “Runge-Kutta methods for parabolic equations with nonsmooth initial data”

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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On the unique solvability of the Runge-Kutta equations.

J.F.B.M. Kraaijevanger, J. Schneid (1991)

Numerische Mathematik

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Monotonicity and Boundedness in Implicit Runge-Kutta Methods.

M.N. Spijker (1986/87)

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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Partitioned Adaptive Runge-Kutta Methods and Their Stability.

K. Strehmel, R. Weiner (1984)

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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Natural Runge-Kutta and Projection Methods.

Marino Zennaro (1988)

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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On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.

E. Gekeler, R. Widman (1986/87)

Numerische Mathematik

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An Algebraic Characterization of B-convergent Runge-Kutta Methods.

W.H. Hundsdorfer, J. Schneid (1989/90)

Numerische Mathematik

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Generalized Runge-Kutta Methods of Order Four with Stepsize Control for Stiff Ordinary Differential Equations.

P. Rentrop, P. Kaps (1979)

Numerische Mathematik

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