Modified Lagrange method for discrete ill posed problems

This study introduces a new approach to apply the Lagrange method for solving discrete ill posed problems in order to improve the performance of it . For this purpose, before using this method the problem will be projected to some spaces that contain more accurate approximations of the solution and then the solution will be approximated by means of Lagrange method . Using this new method, some principal properties of the solution like smoothness or piecewise continuity can be protected. Numerical results illustrates the success of this improving the performance of the Lagrange method in approximations of the solution of several ill posed problems

کلیدواژه ها:

Lagrange method ، Regularization ، Discrete ill posed problems ، decomposition method