【摘要】 对第二类奇异积分方程提出新的全离散Petrov-Galerkin快速算法,通过调整截断参数,使得算法收敛性达到最优的同时,计算复杂度仍然保持几乎最优,条件数有界.更多还原

【Abstract】 In this paper we propose a new full discrete PetrovGalerkin fast method for second kind integral equations with some singular kernel. Through modified truncation strategy,we prove our fast methods to be stable and obtain the optimal order of convergence.Meanwhile,the computational complexity is still almost optimal and the condition number is bounded.更多还原