Abstract

In this paper, we consider the problem of numerical analytic continuation of an analytic function on a strip domain , where the data are given approximately only on the line . This is a unilaterally ill-posed problem, and due to the idea of modified ‘kernel’, a novel unilateral regularization method is constructed. The convergence rate is also obtained. Numerical experiments show that the method works effectively. The comparisons of numerical results between the Fourier method and our modified method are also provided.

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