We will be practicing several advanced numerical techniques that are usually beyond the scope of introductory modeling courses but are of extreme importance for cutting edge numerical applications. Learning by doing exercises with MATLAB and MAPLE is the course philosophy. No lecturing, no reading, no hand derivation, programming practice only.
Lernziel
The techniques include Maple derivations of the thermodynamically consistent closed system of equations for multiphase and multicomponent transport coupled to deformation, conservative numerical schemes for highly nonlinear processes (blow-up, shock and solitary waves, finite support solutions) and ways to handle mesh locking for coupled systems.