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Regularization of nonlinear ill-posed problems by exponential integrators

Marlis HochbruckMichael HönigAlexander Ostermann — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

The numerical solution of ill-posed problems requires suitable regularization techniques. One possible option is to consider time integration methods to solve the Showalter differential equation numerically. The stopping time of the numerical integrator corresponds to the regularization parameter. A number of well-known regularization methods such as the Landweber iteration or the Levenberg-Marquardt method can be interpreted as variants of the Euler method for solving the Showalter differential...

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