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Five- and six-node extension of the numerical quadrature method
Paperback

Five- and six-node extension of the numerical quadrature method

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This work takes as a starting point the numerical quadrature formula based on Lagrange interpolating polynomials. From this formula we obtain the numerical quadrature rules at five and six simple nodes with their respective errors. Then the concept of composite integration is used to subdivide the integration interval and apply the simple numerical quadrature to each and every subdivision of the integration interval. From which the five-node and six-node composite numerical quadrature rules with their respective errors are derived. All the deduced rules are illustrated by means of examples.

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MORE INFO
Format
Paperback
Publisher
Our Knowledge Publishing
Date
30 April 2024
Pages
56
ISBN
9786207384471

This work takes as a starting point the numerical quadrature formula based on Lagrange interpolating polynomials. From this formula we obtain the numerical quadrature rules at five and six simple nodes with their respective errors. Then the concept of composite integration is used to subdivide the integration interval and apply the simple numerical quadrature to each and every subdivision of the integration interval. From which the five-node and six-node composite numerical quadrature rules with their respective errors are derived. All the deduced rules are illustrated by means of examples.

Read More
Format
Paperback
Publisher
Our Knowledge Publishing
Date
30 April 2024
Pages
56
ISBN
9786207384471