Construction and implementation of general linear methods for ordinary differential equations: A review

Z. Jackiewicz

doi:10.1007/bf02728981

Construction and implementation of general linear methods for ordinary differential equations: A review

Journal of Scientific Computing ◽

10.1007/bf02728981 ◽

2005 ◽

Vol 25 (1-2) ◽

pp. 29-49

Author(s):

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear

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A new class of efficient general linear methods for ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.12.022 ◽

2020 ◽

Vol 151 ◽

pp. 282-300

Author(s):

M. Braś ◽

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

New Class

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The Order of Convergence of General Linear Methods for Ordinary Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0715043 ◽

1978 ◽

Vol 15 (4) ◽

pp. 643-661 ◽

Cited By ~ 13

Author(s):

G. J. Cooper

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Order Of Convergence ◽

General Linear Methods ◽

General Linear

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Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(96)00043-8 ◽

1996 ◽

Vol 21 (4) ◽

pp. 385-415 ◽

Cited By ~ 38

Author(s):

J.C. Butcher ◽

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear

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General linear methods for the parallel solution of ordinary differential equations

Contributions in Numerical Mathematics ◽

10.1142/9789812798886_0008 ◽

1993 ◽

pp. 99-111 ◽

Cited By ~ 1

Author(s):

J. C. Butcher

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Parallel Solution

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The Numerical Analysis of Ordinary Differential Equations: Runge–Kutta and General Linear Methods (J. C. Butcher)

SIAM Review ◽

10.1137/1031147 ◽

1989 ◽

Vol 31 (4) ◽

pp. 693-693 ◽

Cited By ~ 1

Author(s):

W. H. Enright

Keyword(s):

Numerical Analysis ◽

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Runge Kutta

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The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.

Mathematics of Computation ◽

10.2307/2008600 ◽

1988 ◽

Vol 51 (183) ◽

pp. 377 ◽

Cited By ~ 1

Author(s):

Kenneth R. Jackson ◽

J. C. Butcher

Keyword(s):

Numerical Analysis ◽

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Runge Kutta

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