A quadrature method for finite intervals
| Autor: | William Squire |
|---|---|
| Rok vydání: | 1976 |
| Předmět: |
Physics::Computational Physics
Numerical Analysis Applied Mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs General Engineering Gauss–Kronrod quadrature formula Tanh-sinh quadrature Mathematics::Numerical Analysis Quadrature (mathematics) symbols.namesake symbols Gauss–Jacobi quadrature Gaussian quadrature Nyström method Midpoint method Mathematics Clenshaw–Curtis quadrature |
| Zdroj: | International Journal for Numerical Methods in Engineering. 10:708-712 |
| ISSN: | 1097-0207 0029-5981 |
| DOI: | 10.1002/nme.1620100317 |
| Popis: | The quadrature rule for a finite interval obtained by transforming to an infinite range and applying the midpoint rule is examined. It is found that the condition required to make the quadrature exact for a constant integrand imposes severe practical limits. The method is very good for integrands with singularities near the endpoints but ineffective for oscillatory integrands. |
| Databáze: | OpenAIRE |
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