论文信息 - A Product Quasi‐Interpolation Method for Weakly Singular Volterra Integral Equations

A Product Quasi‐Interpolation Method for Weakly Singular Volterra Integral Equations

For a weakly singular Volterra integral equation, we propose a method of Nystrom type of accuracy O(hm) based on the smoothing change of variables and on the product quasi‐interpolation by smooth splines of degree m−1 on the uniform grid.

Eero Vainikko | Gennadi Vainikko | G. Vainikko | E. Vainikko

[1] Eero Vainikko,et al. A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations , 2008, SIAM J. Numer. Anal..

[2] K. Atkinson. The Numerical Solution of Integral Equations of the Second Kind , 1997 .

[3] Ivan P. Gavrilyuk,et al. Collocation methods for Volterra integral and related functional equations , 2006, Math. Comput..