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Original Articles

Acceleration of convergence of series for certain multiple integrals

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Pages 155-168 | Received 01 Dec 1986, Published online: 19 Mar 2007

References

  • Levin , D. 1973 . Development of non-linear transformations for improving convergence of sequences . Intern. J. Computer Math. , B3 : 371 – 388 .
  • Smith , D. A. and Ford , W. F. 1979 . Acceleration of linear and logarithmic convergence . SIAM J. Num. Analysis , 15 : 223 – 240 .
  • Wimp , T. 1981 . Sequence Transformations and their Applications , NY : Academic Press .
  • Levin , D. and Sidi , A. 1981 . Two new classes of non-linear transformations for accelerating the convergence of infinite integrals and series . Applied Math. and Comp. , 9 : 175 – 215 .
  • Byrnes , J. S. , Podgor , S. and Zachary , W. W. 1969 . On the evaluation of certain Lattice Green's functions . Proc. Camb. Phil. Soc. , 66 : 377 – 380 .
  • Shanks , D. 1955 . Non-linear transformations of divergent and slowly convergent sequences . J. Maths and Phys , 34 : 1 – 42 .
  • Cohen , A. M. 1981 . On improving convergence of alternating series . Intern. J. Computer Math. , B9 : 45 – 53 .
  • Froberg , C.-E. 1985 . Numerical Mathematics—Theory and Computer Applications , California : Benjamin Cummings .

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