A-stable, Accurate Averaging of Multistep Methods for Stiff Differential Equations

IBM Journal of Research and Development ◽

10.1147/rd.164.0335 ◽

1972 ◽

Vol 16 (4) ◽

pp. 335-348 ◽

Author(s):

W. Liniger ◽

F. Odeh

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Stiff Differential Equations

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On the convergence of multistep methods for nonlinear stiff differential equations

Numerische Mathematik ◽

10.1007/bf01385657 ◽

1990 ◽

Vol 58 (1) ◽

pp. 839-853 ◽

Author(s):

C. Lubich

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Stiff Differential Equations

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High order stiffly stable composite multistep methods for numerical integration of stiff differential equations

BIT Numerical Mathematics ◽

10.1007/bf01951938 ◽

1973 ◽

Vol 13 (3) ◽

pp. 272-286 ◽

Author(s):

Theodore A. Bickart ◽

Zdenek Picel

Keyword(s):

Differential Equations ◽

Numerical Integration ◽

Multistep Methods ◽

Stiff Differential Equations

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Implementation of α-type multistep methods for stiff differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(88)90288-9 ◽

1988 ◽

Vol 22 (1) ◽

pp. 63-69 ◽

Author(s):

Gary K. Rockswold

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Stiff Differential Equations

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On the convergence of multistep methods for nonlinear stiff differential equations

Numerische Mathematik ◽

10.1007/bf01385509 ◽

1992 ◽

Vol 61 (1) ◽

pp. 277-279 ◽

Author(s):

C. Lubich

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Stiff Differential Equations

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Symmetric linear multistep methods for second-order differential equations with periodic solutions

Applied Numerical Mathematics ◽

10.1016/0168-9274(86)90016-4 ◽

1986 ◽

Vol 2 (1) ◽

pp. 69-77 ◽

Author(s):

B.P. Sommeijer ◽

P.J.van der Houwen ◽

B. Neta

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Second Order Differential Equations

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On the order of composite multistep methods for ordinary differential equations

Numerische Mathematik ◽

10.1007/bf01432876 ◽

1978 ◽

Vol 29 (4) ◽

pp. 381-396 ◽

Author(s):

P. Albrecht

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Multistep Methods

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On the integration of stiff differential equations

Numerical Analysis ◽

10.1007/978-3-0348-5575-4_11 ◽

1977 ◽

pp. 209-226 ◽

Author(s):

Gerhard Wanner

Keyword(s):

Differential Equations ◽

Stiff Differential Equations

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On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1504066 ◽

2018 ◽

Vol 40 (2) ◽

pp. 119-133

Author(s):

Sergio Amat ◽

Sonia Busquier ◽

Miquel Grau-Sánchez ◽

M. A. Hernández-Verón ◽

M. J. Rubio

Keyword(s):

Differential Equations ◽

Stiff Differential Equations ◽

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Approximation by aliasing with application to ‘‘Certaine” stiff differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-1974-0343637-3 ◽

1974 ◽

Vol 28 (126) ◽

pp. 465-465

Author(s):

Arthur David Snider ◽

Gary Charles Fleming

Keyword(s):

Differential Equations ◽

Stiff Differential Equations

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Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501388157 ◽

2003 ◽

Vol 24 (4) ◽

pp. 1091-1106 ◽

Author(s):

C. W. Gear ◽

Ioannis G. Kevrekidis

Keyword(s):

Differential Equations ◽

Stiff Differential Equations ◽

Eigenvalue Spectrum ◽

Projective Methods

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