Advanced Topics from Scientific Computing
TU Berlin, Winter Semester 2023/24
Logistics
Room: FH302, Wed 8:00-10:00. Based on previous experience I intend to record the lectures and to hold consultations every Wed 9:00-10:00 in FH302.
Course start will be on Oct. 18, 2023, first consultation on Oct 25 (due to travelling)
Contact/Admission: please subscribe to the ISIS course. I will try to use ISIS as a communication hub, but provide all the material on this page.
ECTS Credits: 5
Content
The course will be dedicated to a number of advanced topics from Scientific Computing, with a focus on practical approaches to the numerical solution of partial differential equations (PDEs).
It intends to cover finite volume and finite element discretizations of PDEs, the method of lines for transient problems, mesh generation, automatic differentiation. If time permits, I will cover at least some aspects of Scientific Machine learning.
The course will start with with a short introduction into the Julia programming language. All computational examples will be provided in Julia.
Prerequisites
The course assumes familiarity with basic topics from numerical mathematics and PDEs.
Exams
Exams will be performed as portfolio exams, based on course project reports and presentations developed in groups of up to 3 students. By default (but not mandatory), these projects will be realized in the Julia programming language.
Previous courses
Have a look at previous year's courses to get an impression.