A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems.
A new approach for the analysis of Vortex Methods in two and three dimensions
A nonhomogeneous backward heat problem: regularization and error estimates.
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.
A wavelet Galerkin method applied to partial differential equations with variable coefficients.
Alpha Well-Posedness, Alpha Stability, and the Matrix Theorems of H.-O. Kreiss.
Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.