Richardson Extrapolation combined with the sequential splitting procedure and the θ-method

Zahari Zlatev; István Faragó; Ágnes Havasi

Displaying similar documents to “Richardson Extrapolation combined with the sequential splitting procedure and the θ-method”

The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

R. I. Okuonghae, M. N. O. Ikhile (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A $(α)$ -stable for step length $k \leq 7$ .

Numerical stability in solution of ordinary differential equations

Emil Vitásek (1968)

Aplikace matematiky

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A ( $α$ )-Stable Linear Multistep Methods for Stiff IVPs in ODEs

R. I. Okuonghae, M. N. O. Ikhile (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, a class of A( $α$ )-stable linear multistep formulas for stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus of the methods shows that the schemes are A-stable for step number $k \leq 3$ and stiffly stable for $k = 4, 5$ and $6$ . Some numerical results are reported to illustrate the method.

Displaying similar documents to “Richardson Extrapolation combined with the sequential splitting procedure and the θ-method”

The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

Numerical stability in solution of ordinary differential equations

A ( α )-Stable Linear Multistep Methods for Stiff IVPs in ODEs

A ( $α$ )-Stable Linear Multistep Methods for Stiff IVPs in ODEs