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On a class of multistep methods with strong contractivity properties

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Publication:758139
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DOI10.1016/0377-0427(90)90002-HzbMath0724.65077MaRDI QIDQ758139

Paula De Oliveira

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

Contractivitysecond-derivative linear multistep methods


Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items

A class of contractive second derivatives multistep methods, A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems



Cites Work

  • Circle contractive linear multistep methods
  • Some simple characterizations of contractivity regions
  • A class of contractive second derivatives multistep methods
  • G-stability is equivalent toA-stability
  • Contractive methods for stiff differential equations part I
  • Contractive methods for stiff differential equations Part II
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