一种非规则积分区域的二重高振荡函数积分方法

On the quadrature of bivariate highly oscillatory integrals with irregular domains

在传统L ev in方法与新F ilon型方法的基础上,本文提出了一种求解非规则区域下的二重高振荡函数数值积分方法,通过利用L ev in匹配法将二重积分化为一重积分,并避免了对复杂的m om en ts的求解,能提高计算的效率,且有很高的求积精度.

The paper provides a new method for one certain kind of bivariate highly oscillatory integrals, based on the classical Levin method and the new Filon-type method. It can efficiently turn the bivariate integrals into the univariate ones and avoid the calculation of some complicated moments. Numerical experiments are presented to verify the preciseness and the efficiency.