Stable evaluation of differential operators and linear and nonlinear multi-scale filtering.
Stable approximations of a minimal surface problem with variational inequalities.
A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates
We give a derivation of an a-posteriori strategy for choosing the regularization parameter in Tikhonov regularization for solving nonlinear ill-posed problems, which leads to optimal convergence rates. This strategy requires a special stability estimate for the regularized solutions. A new proof fot this stability estimate is given.
The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval.
Page 1