Publication Cover
Applicable Analysis
An International Journal
Volume 28, 1988 - Issue 1
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Original Articles

Instability in linear multistep methods

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Pages 1-14 | Published online: 02 May 2007

References

  • Dahlquist , G. 1963 . tStability questions for some numerical methods for ordinary differential equations , Proc. Symposia in Applied Mathematics .
  • Gear , C.W. 1967 . Numerical integration of stiff ordinary differen tial equations , Univ. of Illinois, Dep. of Computer Science .
  • Jeltsch , R. and Nevanlinna , O . 1962 . Stability and accuracy of time discretizations for initial value problems . Numer. Math , 40
  • Lambert , J.O. 1972 . Computational Methods in Ordinary Differential Equations , London : John Wiley, and Sons .
  • Oliveira , P. and Patricio , F . 1972 . Multistep methods with optimal stability regions . Applicable Analysis ,
  • Patricio , F. 1984 . Classes of multistep methods for ordinary differential equations , Ph. D. thesis, University of Coimbra .
  • Robertson , H.H. 1959 . Some new formulae for the numerical integration of differential equations , Paris : Information Processing Unesco .

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