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Multistage Multistep Methods

1973
Having studied the peculiarities of multistage and multistep methods separately in Chapters 3 and 4 by analyzing their simplest representative classes we will now consider discretization methods for IVP1 which combine the features of multistage and multisteps methods, cf. Section 2.1.3. We will, however, still restrict ourselves to forward step methods
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Multistep methods on manifolds

IMA Journal of Numerical Analysis, 2001
The author discusses the preservation of invariants of an ordinary differential equation in a numerical integration. He considers methods of Taylor type, i.e. methods of order \(p\) where the leading term in the error analysis is given by the \((p+1)\)th derivative of the solution.
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Multistep methods for differential algebraic equations

Numerical Algorithms, 1995
Multistep methods for specially structured implicit nonlinear differential algebraic equations under index 1 conditions are considered. The existence and uniqueness of a numerical solution is shown. There is no discussion about the progress of this paper in comparison to previous ones, e.g. \textit{E. Griepentrog} and \textit{R.
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Error Estimate for a Linear Multistep Method

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991
For the system \(x=Tx+b\) of linear equations in a Banach space with \(T=T_ 0+...+T_ n\), \(n\geq 1\), we consider the implicit stationary n- step method \(x_{k+n}=\sum^{n}_{i=0}T_ ix_{k+n-i}+b,\) \(k=0,1,2,...\). In case of \(\| T\|
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Exact multistep distorted-wave method

Physical Review C, 1988
We show that the coupled channel equations are exactly transformed into the T matrix of the multistep process. The consistency with empirical models is discussed.
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Multistep Methods

1996
Ernst Hairer, Gerhard Wanner
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Multistep methods

2009
Richard Palais, Robert Palais
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Multistep methods

1991
A. Iserles, S. P. Nørsett
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Stability Domains of Explicit Multistep Methods

Numerical Analysis and Applications, 2022
Kireev, I. V.   +2 more
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