Mini lecture: Introduction to Geometric Time Integration (IGETI) - S. Leyendecker

Introduction to Geometric Time Integration (IGETI)
Classification: Computational methods (C), continuum approaches
Lecturer: Sigrid Leyendecker
Language: English
Contents:

* Numerical integration of ordinary differential equations
* Conservation of first integrals (linear and quadratic invariants, Noether theorem)
* Symmetric integration
* Symplectic integration of Hamiltonian systems
* Variational integrators
* Error analysis

Objectives:
The students

* are familiar with standard schemes for the numerical integration of ODEs
* understand the concept of convergence
* understand the structure and conservation properties of analytical solutions of ODEs
* can derive numerical schemes that conserve the characteristic properties of a given ODE
* can analyse the convergence and conservation properties in their own implementations