INTERPOLATING POLAYNOMIALS OVER ORTHO-TRIPLES VIA B-NET

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SHIRMARDI H.; Haghani F.K.; Khoshiar R.

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Seminar Paper

Paper Information

Seminar: IRANIAN CONFERENCE ON APPLIED MATHEMATICS
Year:2013 | Issue:5

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Title

INTERPOLATING POLAYNOMIALS OVER ORTHO-TRIPLES VIA B-NET

Author(s)

SHIRMARDI H. | Haghani F.K. | Khoshiar R. | Issue Writer Certificate

Keywords

ORTHO-TRIPLE

PARTICAL INVESE DIFFERENCE

B-NET

MULTIPLE INTEGRAL

Abstract

WE COMPUTE THE XPLICIT COEFFICIENTS OF A CONTINUED FORM OF INTERPOLATING FOR ONE AND TWO ORTHO-TRIPLE VIA B-NETS. THUS THE COMPUTATION OF MUITIPLE INTEGRALS CAN BE CONVERTED INTO THE SUM OF THE COEFFICIENTS IN TERMS OF THE B-NET OVER TRIANGULAR DOMAIN MUCH EFFECTIVELY AND CONVENIENTIY. BASED ON A NEW SYMMETRICAL ALGORITHM OF PATTIAL INVERSE DIFFERENCES, A NOVEL CONTINUED FRACTIONS INTER- POLATION SCHEME IS PRESENTED OVER ARBITRARY ORTHO- TRIPLES IN R2, WHICH IS A BIVARIATE OSCULATORY INTERPOLATION FORMULA WITH ONE- ORTHER PARTIAL DERIVATIVES AT ALL CORNER POINTS IN THE ORTHO-TRIPLES. FURTHERMORE, ITS CHARACTERIZATION THEOREM IS PRESENTED BY THREE- TERM RECURRENCE RELATION. THE NEW SCHEME HAS ADVANTAGEOUS WHICH WE SHOW THROAQH SEVERAL NUMERICUL EXAMPLES.

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APA: Copy

SHIRMARDI, H., Haghani, F.K., & Khoshiar, R.. (2013). INTERPOLATING POLAYNOMIALS OVER ORTHO-TRIPLES VIA B-NET. IRANIAN CONFERENCE ON APPLIED MATHEMATICS. SID. https://sid.ir/paper/939329/en

Vancouver: Copy

SHIRMARDI H., Haghani F.K., Khoshiar R.. INTERPOLATING POLAYNOMIALS OVER ORTHO-TRIPLES VIA B-NET. 2013. Available from: https://sid.ir/paper/939329/en

IEEE: Copy

H. SHIRMARDI, F.K. Haghani, and R. Khoshiar, “INTERPOLATING POLAYNOMIALS OVER ORTHO-TRIPLES VIA B-NET,” presented at the IRANIAN CONFERENCE ON APPLIED MATHEMATICS. 2013, [Online]. Available: https://sid.ir/paper/939329/en

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