Computational methods from micro to macro scales

Differential equations are fundamental for the modeling in Science and Engineering. As the computational power increase, it becomes feasible to use more accurate differential equation models and solve more demanding problems: for instance to determine input data from fundamental principles and to optimally reconstruct input data using measurements. The course includes lectures, computer exercises and student presentations on models, analysis and computational methods from nuclei-electron micro-systems to Euler and Navier-Stokes macro-systems for continuum fluids, using a unified mathematical method to derive and explain the coupling between the models on the different scales.

More information is on the course homepage.