论文标题
非线性不良方程式系统的正则化：ii。申请
Regularization of systems of nonlinear ill-posed equations: II. Applications
论文作者
论文摘要
在第一部分中，我们引入了修改后的Landweber-Kaczmarz方法，并建立了融合分析。在目前的工作中，我们研究了三个应用：与热声断层扫描有关的逆问题，半导体方程的非线性反问题以及Schlieren断层扫描中的非线性问题。在上一部分中建立的框架中考虑了每个应用程序。新型算法表现出稳健性，稳定性，计算效率和高精度。
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for semiconductor equations, and a nonlinear problem in Schlieren tomography. Each application is considered in the framework established in the previous part. The novel algorithms show robustness, stability, computational efficiency and high accuracy.
