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Original Articles

Families of backward differentiation methods based on trigonometric polynomials

Pages 67-75 | Received 01 Jul 1985, Published online: 19 Mar 2007

References

  • Bettis , D.G. 1970 . Numerical integration of products of Fourier and ordinary polynomials . Numer. Math , 14 : 421 – 434 .
  • Bogen , R. 1975 . MACSYMA Reference Manual , Cambridge , MA : MIT Press .
  • Gautschi , W. 1961 . Numerical integration of ordinary differential equations based on trigonometric polynomials . Numer. Math , 3 : 381 – 397 .
  • Van der Houwen , P.J. and Sommeijer , B.P. 1984 . Linear multistep methods with minimized truncation error for periodic initial value problems . IMA J. Num.Anal , 4 : 479 – 489 .
  • Lyche , T. 1972 . Chebyshevian multistep methods for ordinary differential equations . Numer. Math , 19 : 65 – 75 .
  • Neta , B. and Ford , C.H. 1984 . Families of methods for ordinary differential equations based on trigonometric polynomials . J. Comp. Appl; Math , 10 : 33 – 38 .
  • Stiefel , E. and Bettis , D.G. 1969 . Siabilization of Cowell’s method . Numer. Math , 13 : 154 – 175 .

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