APPROXIMATION OF DOUBLE INTEGRALS USING BIVARIATE RATIONAL INTERPOLATION

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MAHMOUDI Y.; SEYYED HABIBIB M.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:3 Page(s): 281-290

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Title

APPROXIMATION OF DOUBLE INTEGRALS USING BIVARIATE RATIONAL INTERPOLATION

Author(s)

MAHMOUDI Y. | SEYYED HABIBIB M. | Issue Writer Certificate

Keywords

RATIONAL INTERPOLATION

SPLINE INTERPOLATION

NUMERICAL INTEGRATION

Abstract

In this paper a bivariate RATIONAL INTERPOLATION is developed to create a space surface using both function values and the first order partial derivatives of the function being interpolated as the interpolation data. This method has some characteristics comparing with present interpolation methods. First, the interpolation function has a simple and explicit mathematical representation. Secondly, the interpolation function can be expressed by symmetric bases. We use this method to estimate the value of double integrals. Presented examples show the pertinent features of the method.

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APA: Copy

MAHMOUDI, Y., & SEYYED HABIBIB, M.. (2009). APPROXIMATION OF DOUBLE INTEGRALS USING BIVARIATE RATIONAL INTERPOLATION. MATHEMATICAL SCIENCES, 3(3), 281-290. SID. https://sid.ir/paper/322496/en

Vancouver: Copy

MAHMOUDI Y., SEYYED HABIBIB M.. APPROXIMATION OF DOUBLE INTEGRALS USING BIVARIATE RATIONAL INTERPOLATION. MATHEMATICAL SCIENCES[Internet]. 2009;3(3):281-290. Available from: https://sid.ir/paper/322496/en

IEEE: Copy

Y. MAHMOUDI, and M. SEYYED HABIBIB, “APPROXIMATION OF DOUBLE INTEGRALS USING BIVARIATE RATIONAL INTERPOLATION,” MATHEMATICAL SCIENCES, vol. 3, no. 3, pp. 281–290, 2009, [Online]. Available: https://sid.ir/paper/322496/en

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