$\theta$-Runge domains for P-holomorphy types

Luiza A. Moraes

Displaying similar documents to “ $\theta$ -Runge domains for P-holomorphy types”

On $q$ -Runge pairs

Mihnea Colţoiu (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We show that the converse of the aproximation theorem of Andreotti and Grauert does not hold. More precisely we construct a $4$ -complete open subset $D \subset ℂ^{6}$ (which is an analytic complement in the unit ball) such that the restriction map $H^{3} (ℂ^{6}, ℱ) \to H^{3} (D, ℱ)$ has a dense image for every $ℱ \in C o h (ℂ^{6})$ but the pair $(D, ℂ^{6})$ is not a $4$ -Runge pair.

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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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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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 transferable differential-algebraic equations

M. Arnold (1994)

Banach Center Publications

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The numerical solution of transferable differential-algebraic equations (DAE’s) by implicit Runge-Kutta methods (IRK) is studied. If the matrix of coefficients of an IRK is non-singular then the arising systems of nonlinear equations are uniquely solvable. These methods are proved to be stable if an additional contractivity condition is satisfied. For transferable DAE’s with smooth solution we get convergence of order $m i n (k_{E}, k_{I} + 1)$ , where $k_{E}$ is the classical order of the IRK and $k_{I}$ is the stage order....

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.

Displaying similar documents to “ θ -Runge domains for P-holomorphy types”

Displaying similar documents to “ $\theta$ -Runge domains for P-holomorphy types”