Implicit methods of computation of integrals on modern computer systems (Q2764341)
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scientific article; zbMATH DE number 1690343
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicit methods of computation of integrals on modern computer systems |
scientific article; zbMATH DE number 1690343 |
Statements
18 July 2002
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numerical integration
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implicit algorithm
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modern computer systems
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singular function
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quadrature formula
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tabulated function
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Implicit methods of computation of integrals on modern computer systems (English)
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The paper is concerned with the numerical integration of functions given by a table in the form \(y_i=f(x_i)\), \(x_i \in [a,b]\), \(i=0,\dots,n\), where the nodes \(x_i\) are non-equidistant and the function \(f\) has singularities. Implicit algorithms for numerical integration of such functions are presented. These algorithms are based on the calculation of integrals \(I_i^{i+1}=\int _{x_i} ^{x_{i+1}}f(x) dx\).
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