Exponential convergence of quadrature for integral operators with Gevrey kernels
Alexey Chernov, Tobias von Petersdorff, Christoph Schwab (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Galerkin discretizations of integral equations in require the evaluation of integrals where , are -simplices and has a singularity at = . We assume that is Gevrey smooth for and satisfies bounds for the derivatives which allow algebraic singularities at = . This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using function evaluations of which...