Parallel Implicit-Explicit General Linear Methods

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00083-5 ◽

2020 ◽

Author(s):

Steven Roberts ◽

Arash Sarshar ◽

Adrian Sandu

Keyword(s):

General Linear Methods ◽

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Strong stability preserving implicit–explicit transformed general linear methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.11.008 ◽

2020 ◽

Vol 176 ◽

pp. 206-225 ◽

Author(s):

Giuseppe Izzo ◽

Zdzislaw Jackiewicz

Keyword(s):

Strong Stability ◽

General Linear Methods ◽

General Linear ◽

Strong Stability Preserving

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Algebraically stable general linear methods and the G-matrix

BIT Numerical Mathematics ◽

10.1007/s10543-008-0207-7 ◽

2009 ◽

Vol 49 (1) ◽

pp. 93-111 ◽

Author(s):

L. L. Hewitt ◽

A. T. Hill

Keyword(s):

General Linear Methods ◽

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Second derivative general linear methods

Numerical Algorithms ◽

10.1007/s11075-013-9814-8 ◽

2013 ◽

Vol 67 (3) ◽

pp. 637-654 ◽

Author(s):

R. I. Okuonghae ◽

M. N. O. Ikhile

Keyword(s):

General Linear Methods ◽

General Linear ◽

Second Derivative

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Order reduction phenomenon for general linear methods

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.04.001 ◽

2017 ◽

Vol 119 ◽

pp. 94-114 ◽

Author(s):

Michał Braś ◽

Angelamaria Cardone ◽

Zdzisław Jackiewicz ◽

Bruno Welfert

Keyword(s):

Order Reduction ◽

General Linear Methods ◽

General Linear ◽

Order Reduction Phenomenon

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General linear methods

Computers & Mathematics with Applications ◽

10.1016/0898-1221(95)00222-7 ◽

1996 ◽

Vol 31 (4-5) ◽

pp. 105-112 ◽

Author(s):

J.C. Butcher

Keyword(s):

General Linear Methods ◽

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Stability analysis of general linear methods for nonlinear neutral delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.047 ◽

2007 ◽

Vol 187 (2) ◽

pp. 1389-1398 ◽

Author(s):

Yuexin Yu ◽

Liping Wen ◽

Shoufu Li

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Delay Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Delay Differential

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Global error estimation for explicit second derivative general linear methods

Numerical Algorithms ◽

10.1007/s11075-021-01211-9 ◽

2021 ◽

Author(s):

Ali Abdi ◽

Gholamreza Hojjati ◽

Giuseppe Izzo ◽

Zdzislaw Jackiewicz

Keyword(s):

Error Estimation ◽

General Linear Methods ◽

Global Error ◽

General Linear ◽

Second Derivative ◽

Global Error Estimation

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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 ◽

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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 ◽

Author(s):

G. J. Cooper

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Order Of Convergence ◽

General Linear Methods ◽

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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 ◽

Author(s):

J.C. Butcher ◽

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

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