Landweber Iteration Regularization Method For Two Inverse Problems Of Mathematical Physics Equation

Landweber iteration method is a classical regularization method for solving ill-posed problems. In this thesis we use this method to study the backward heat conduction problem including flux item and the Cauchy problem of the Helmholtz equation. These two problems are all severely ill-posed, we obtain some strong convergence estimates. Numerical examples show that the method is feasible and stable.