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General linear methods for Volterra integral equations [PDF]
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zdzislaw Jackiewicz +2 more
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Computers and Mathematics With Applications, 1996 General linear methods, as multistage multivalue methods, are the natural generalizations of linear multistep and Runge-Kutta methods. This survey contains a discussion of the traditional methods and a motivation for the general linear type of generalization.
J C Butcher
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Linear Multistep Methods as Irreducible General Linear Methods
BIT Numerical Mathematics, 2006This 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.
J C Butcher
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Strongly Regular General Linear Methods
Journal of Scientific Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter O. Olatunji, M. N. O. Ikhile
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An extension of general linear methods
Numerical Algorithms, 2010This 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, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habib, Yousaf, Mustafa, Lubna
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