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Strong Stability Preserving General Linear Methods [PDF]

Journal of Scientific Computing, 2014
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Giuseppe Izzo, Zdzislaw Jackiewicz
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GENERAL LINEAR NYSTROM METHODS [PDF]

, 2011
In this talk we describe the family of General Linear Nystrom methods (GLNs), which provides the extension of the family of General Linear Methods for the numerical solution of first order Ordinary Differential Equations (ODEs) [1, 2] to special second order ODEs.
D'AMBROSIO, RAFFAELE, ESPOSITO, ELENA, PATERNOSTER, Beatrice   +2 more
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Strongly Regular General Linear Methods

Journal of Scientific Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter O. Olatunji, M. N. O. Ikhile
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Linear Multistep Methods as Irreducible General Linear Methods

BIT Numerical Mathematics, 2006
This paper is concerned with the topic of stability for linear multistep methods (LMM's) in relation with associated general linear methods (GLM's). The authors show how to write an LMM as a GLM and prove that if an LMM is irreducible then the corresponding GLM also is, improving in this way a procedure given by \textit{K. Burrage} and \textit{J.
Butcher, J. C., Hill, A. T.
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An extension of general linear methods

Numerical Algorithms, 2010
This paper introduces new numerical methods for solving an initial value problem for ordinary differential equations. These new methods belong to the class of general linear methods (GLMs), which generalize both the classical Runge-Kutta and linear multistep methods.
Ali Abdi 0004, Gholamreza Hojjati
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General linear methods with projection

Applied Numerical Mathematics, 2021
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Habib, Yousaf, Mustafa, Lubna
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The existence of symplectic general linear methods

Numerical Algorithms, 2008
The paper obtains a criterion that any general linear integration method must satisfy if it is symplectic. After deriving a criterion for symplectic behavior based on a standard conservative problem of the form, \[ \begin{cases} z_1'(t)= -\alpha(z_3,z_4,\dots,z_N)z_2(t), \\ z_2'(t)= \alpha(z_3,z_4,\dots,z_N)z_1(t), \\ z_i'(t)=f_i(z_3,z_4,\dots,z_N)z_1 ...
John C. Butcher, L. L. Hewitt
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