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Original Articles

Third-order linearly implicit l-stable methods for stiff differential equations

Pages 195-205 | Received 29 Mar 1988, 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 numerical solution of differential equations . Computer Journal , 12 : 183 – 187 .
  • Liniger , W. and Willoughby , R. A. 1970 . Efficient numerical integration of stiff systems of ordinary differential equations . SIAM Journal of Numerical Analysis , 7 : 47 – 66 .
  • 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 Computation , 33 : 521 – 534 .
  • Scraton , R. E. 1979 . Some new methods for stiff differential equations . Int. J. Comp. Math , 7 : 55 – 63 . Section B
  • Scraton , R. E. 1981 . Some L-stable methods for stiff differential equations . Int. J. Comp. Math , 9 : 81 – 87 . Section B
  • Scraton , R. E. 1986 . Second-order linearly implicit methods for stiff differential equations . Int. J. Comp. Math. , 20 : 57 – 66 .

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