This dissertation addresses the numerical study of full discretization methods for linear parabolic equations as well as wave equations on evolving surfaces. It is the first work able to give rigorous proofs concerning ...
The objective of this thesis is to find and analyse practical numerical algorithms for the minimisation and gradient-flows of the Mumford-Shah and Mumford-Shah-Euler functionals for unit vector fields.
The motivation for ...
The main subject of this thesis is to analyse various discretisations schemes for the stochastic Navier-Stokes equations on bounded two and three dimensional domains.
The motivation for this numerical analysis is twofold: ...