Content:
The lecture course is focused on numerical methods in Materials Science. The following problems will be tackled:
- Data analysis: zero-value problem; interpolation; fitting of the data (LSM)
- Finite Differences’ Method: principles; stability; examples
- Finite Element Method: principles and examples
- Monte Carlo simulation: random numbers; random walk; thermodynamics
- Atomistic simulation: objects; methods; scales; times
- Practical example in atomic simulation:
Interatomic potentials: types; development; fitting
Molecular statics: Properties (structure; elastic; thermal expansion; point defects); Pure metals and ordered compounds: point defects; formation energies and entropies; migration energies and entropies
Molecular dynamics: velocity integration; ensembles (NVE, NVT, NPT)
examples: lattice calculations; point defects; diffusion |