An expansion method for irregular oscillatory integrals

Abstract

Many current problems in applied mathematics require the numerical integration of irregular oscillatory integrals. Few methods have been specifically found for these problems. An alternative method based on expansion is presented here and this method is compared with other approaches. Tests are carried out on a representative set of examples, and the algorithms are applied to problems with large oscillatory factors.

Keywords:

• Irregular oscillatory quadrature
• numerical integration