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Error bounds for multistep methods revisited

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Publication:1094106
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DOI10.1007/BF01935056zbMath0629.65076MaRDI QIDQ1094106

Rolf Jeltsch, Olavi Nevanlinna

Publication date: 1986

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

error boundsstiff systemslinear multistep methodsmultistep methodorder of consistency


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)




Cites Work

  • On the possibility of two-sided error bounds in the numerical solution of initial value problems
  • Nonlinear fixed-h stability of linear multistep formulas
  • G-stability is equivalent toA-stability
  • Multiplier techniques for linear multistep methods
  • On the numerical integration of nonlinear initial value problems by linear multistep methods


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