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9 results on '"Rout, Prabhat Kumar"'

4. Numerical integration for Muntz polynomial and Muntz logarithmic polynomial.

Author

Nayak, Sunita Kumari, Jena, Saumya Ranjan, Rout, Prabhat Kumar, and Paul, Arjun Kumar

Subjects
NUMERICAL integration, POLYNOMIALS
Abstract

In this manuscript. a higher precision rule is constructed for the numerical evaluation Mui-Itz and Muntz legalithmic polynomials. Here the transformation have been taken from 0 1 13 5 1 to -1 5 10 5 1 by using monomial transformations. The mixed quadrature rule and the singularities are extracted by taking the linear combination two individual quadrature rules. The efficiency and accuracy of the present rule and error bound are fully tested on numerical problems. [ABSTRACT FROM AUTHOR]

Published
2023

5. Adaptive quadrature on line integral in engineering.

Author

Jena, Saumya Ranjan, Rout, Prabhat Kumar, Mohanty, Prasanta Kumar, Misra, Satya Kumar, and Paul, Arjun Kumar

Subjects
*LINE integrals, *NUMERICAL analysis, *VECTOR valued functions, *INTEGRALS, *ENGINEERING
Abstract

In this note, a rule for double integrals of precision-7 is investigated using precision-5 rules on different integrals with the help of adaptive technique for any vector function using Greens theorem for approximate evaluation of line integral. The rule is reasonable coincident with the single rule (5 point Clenshaw-Curtis rule). Convergence analysis as well as numerical experiments is also carried out through several examples. [ABSTRACT FROM AUTHOR]

Published
2022

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