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Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Author

Listed:
  • Shengfeng Li

    (Institute of Applied Mathematics, Bengbu University, Bengbu 233030, China)

  • Yi Dong

    (School of Science, Bengbu University, Bengbu 233030, China)

Abstract

In this paper, Thiele–Newton’s blending expansion of a bivariate function is firstly suggested by means of combining Thiele’s continued fraction in one variable with Taylor’s polynomial expansion in another variable. Then, the Viscovatov-like algorithm is given for the computations of the coefficients of this rational expansion. Finally, a numerical experiment is presented to illustrate the practicability of the suggested algorithm. Henceforth, the Viscovatov-like algorithm has been considered as the imperative generalization to find out the coefficients of Thiele–Newton’s blending expansion of a bivariate function.

Suggested Citation

  • Shengfeng Li & Yi Dong, 2019. "Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function," Mathematics, MDPI, vol. 7(8), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:696-:d:254365
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