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Choices in contractivity theory

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Publication:1119350
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DOI10.1016/0168-9274(89)90027-5zbMath0671.65058OpenAlexW2009938267MaRDI QIDQ1119350

Jørgen Sand

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90027-5


zbMATH Keywords

stabilitymultistep methodscontractive methods


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items (2)

Contractivity of Runge-Kutta methods ⋮ Convergence of linear multistep and one-leg methods for stiff nonlinear initial value problems



Cites Work

  • Nonlinear stability behaviour of linear multistep methods
  • Circle contractive linear multistep methods
  • Contractivity in the numerical solution of initial value problems
  • G-stability is equivalent toA-stability
  • Stability of dynamical systems: A constructive approach
  • Contractive methods for stiff differential equations part I
  • Contractive methods for stiff differential equations Part II
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