A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations

作者：Luo Xingjun^*; Li Fanchun; Yang Suhua

来源：Advances in Computational Mathematics, 2012, 36(2): 299-314.

DOI：10.1007/s10444-011-9229-9

• Tikhonov regularization
• Multiscale methods
• Ill-posed integral equations
• Parameter choice strategy
• Convergence rates

We apply fast multiscale methods for solving ill-posed integral equations via the Tikhonov regularization. A modified a posteriori parameter choice strategy is presented, which leads to optimal convergence rates. Numerical experiments are given to illustrate the efficiency of the method.

• 出版日期2012-2
• 单位赣南师范大学