Numerical Modelling (250402) – Course 2024/25 PDF
Contents
Introduction to programming in MATLAB. Introduction to the concept of mathematical modelling
Dedication
8h Large group + 4h Medium group + 22h Self StudyIntroduction to the finite element method for modeling physical processes: 1D FEM, 2D FEM (weak shapes, boundary conditions, discretization, assembly...), programming, pre and post processing of problems solved by finite elements.
Dedication
8h Large group + 4h Medium group + 4h Laboratory classes + 28h Self StudyMidterm test, final test
Dedication
4h Large group + 10h Self StudyGeneral approach: reduction to first order, initial value problems. Methods based on approximation of the derivative: explicit and implicit Euler. Stability analysis. Boundary value problems.
Dedication
8h Large group + 4h Medium group + 4h Laboratory classes + 28h Self StudyMathematical notations for algebraic and differential operations involved in mathematical modeling. Gradient, divergence, curl, matrix and vector calculus. Introduction to modelling physical phenomena using partial differential equations. Application examples and types of PDEs.
Dedication
8h Large group + 4h Medium group + 4h Laboratory classes + 28h Self StudyNumerical differentiation. Resolution of PDEs by the finite difference method using explicit and implicit time integration.
Dedication
8h Large group + 4h Medium group + 4h Laboratory classes + 28h Self Study