动力系统方法在反问题中的应用

Dynamical Systems Method for Solving Inverse Problems

讨论求解算子方程的动力系统方法(DSM),将其应用于求解反问题,给出了相应数值格式的收敛性证明,并通过数值实验与常用的正则化方法进行了比较,数值结果表明该方法在一定条件下优于正则化方法,可以应用于更一般反问题的数值计算中.

We studied a dynamical system method for solving some inverse problems, provided the convergence proof of the numerical scheme, and implement some numerical experiments and compared the dynamical system method with the regularization method via numerical computation. The numerical experiments illustrate the validity of the scheme.