Bøger af Hannes Uecker

Presents a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D and 3D; provides a concise review of analytical background and numerical methods; explains the use of the free MATLAB package pde2path via examples with ready to use code; and contains demo codes that can be adapted to the reader's given problem.

An introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs.