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Original Articles

Some L-stable methods for stiff differential equations

Pages 81-87 | Received 01 Mar 1980, Published online: 19 Mar 2007

References

  • Rosenbrock , H.H. 1963 . Some general implicit processes for the numerical solutions of differential equations . Computer Journal , 5 : 329 – 330 .
  • Haines , C.F. 1969 . Implicit integration processes with error estimates for the numericalsolution of differential equations . Computer Journal , 12 : 183 – 187 .
  • Liniger , W. and Willoughby , R.A. 1970 . Efficient numerical integration of stiff systems of ordinary different equations . SIAM Journal of Numerical Analysis , 7 : 47 – 66 .
  • Van Der Houwen , P.J. 1977 . Construction of Integration Formulas for Initial Value Problem , North-Holland Publishing Company .
  • Scraion , R.E. 1979 . Some new methods for stiff differential equations . International Journal of Computer Mathematics , 7 : 55 – 63 . Section B
  • Steihaug , T. and Wolfbrandt , A. 1979 . An attempt to avoid exact Jacobian and non-linear equations in the numerical solution of stiff differential equations . Mathematics of Computations , 33 : 521 – 534 .
  • Enright , W. , Hull , T.E. and Lindberg , B. 1975 . Comparing numerical methods for stiff systems of ODE's . BIT , 15 : 10 – 48 .

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