Numerical post failure methods in multiphysical problems

Numerical Methods for Multiscale Problems

[2] J. Bourgain, Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Geometric and Functional Analysis 3 (1993), 107–156. [3] M. Christ, J. Colliander and T. Tao, Instability of the periodic nonlinear Schrödinger equation, Preprint, 2003. [4] M. Hochbruck, A. Ostermann, Explicit exponential Runge-Kutta methods for semilinear par...

Numerical Methods for Power-Law Diffusion Problems

Numerical Methods for Scalar Convection-Dominated Problems

Numerical methods for generalized least squares problems

Usually generalized least squares problems are solved by transforming them into regular least squares problems which can then be solved by well-known numerical methods. However, this approach is not very effective in some cases and, besides, is very expensive for large scale problems. In 1979, Paige suggested another approach which consists of solving an equivalent equality-constrained least sq...

Numerical Methods for Solving Convection-Diffusion Problems

Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the fundamental issue is to model correctly the convective transport of individual phases. Moreover, for compressible media, the pressure equation itself is just a time-dependent convection-diffusion equation. For differen...