Courses in Winter Term 2022/23
Our group offers the following courses in winter term 2022/23:
Differential-Algebraic Equations
Differential-Algebraic Equations
Contents
The theory and numerical analysis of differential-algebraic equations are discussed, in particular:
- application fields (electrical circuits and multibody mechanical systems)
- relation with singularly perturbed problems
- solution theory and index concepts
- normal form for linear DAEs
- numerical aspects
Courses in Summer Term 2022
Our group offers the following courses in summer term 2022:
Scientific Computing in Solid Mechanics
Spline Functions
Scientific Computing in Solid Mechanics
Links / Contact
Lecturer: Prof. Dr. Bernd Simeon
KIS entry:
Scientific Computing in Solid Mechanics
Course in OLAT:
TUK Scientific Computing in Solid Mechanics SS 2022
Spline Functions
Links / Contact
Lecturer: Prof. Dr. Bernd Simeon
KIS entry:
Spline Functions
Course in OLAT:
TUK Spline Functions SS 2022
Courses in Winter Term 2021/22
Our group offers the following courses in winter term 2021/22:
Numerical Methods for Ordinary Differential Equations
Differential-Algebraic Equations
Proseminar "B-Splines and NURBS"
Numerical Methods for Ordinary Differential Equations
Contents
Most problems in science, technology, and engineering can be modeled by a set of differential equations. In general, these equations are too complex to be solved analytically. This course provides the necessary tools and methods to treat initial value problems numerically.
The following topics will be covered:
- explicit and implicit one-step methods (Runge-Kutta methods)
- error estimation and step size control
- multistep methods (Adams and BDF methods)
- consistency, stability, and convergence
- methods for stiff problems
Differential-Algebraic Equations
Contents
The theory and numerical analysis of differential-algebraic equations are discussed, in particular:
- application fields (electrical circuits and multibody mechanical systems)
- relation with singularly perturbed problems
- solution theory and index concepts
- normal form for linear DAEs
- numerical aspects
Proseminar "B-Splines and NURBS"
Links / Contact
Lecturer: Prof. Dr. Bernd Simeon
KIS entries: Proseminar B-Splines and NURBS (Seminar)
Course in OLAT:
TUK Proseminar "B-Splines and NURBS" WS 2021/22
Courses in Summer Term 2021
Our group offers the following courses in summer term 2021:
Numerical Methods for Partial Differential Equations I
Scientific Computing in Solid Mechanics
Numerical Methods for Partial Differential Equations I
Contents
To describe real-world processes, one often makes use of partial differential equations, which, in general, cannot be solved analytically. In this course, we will discuss and study the mathematical techniques required for solving such equations numerically. The focus lies on the discretization of boundary value problems for elliptic differential equations with finite difference or finite element methods. At the end of the course, these ideas will be applied to parabolic differential equations.
The following topics will be covered:
- approximation methods for elliptic problems
- theory of weak solutions
- consistency, stability, and convergence
- approximation methods for parabolic problems
Scientific Computing in Solid Mechanics
Links / Contact
Lecturer: Prof. Dr. Bernd Simeon
KIS entry:
Scientific Computing in Solid Mechanics
Course in OLAT:
TUK Scientific Computing in Solid Mechanics SS 2021
Courses in Winter Term 2020/21
Our group offers the following courses in winter term 2020/21:
Introduction to Numerical Methods
Introduction to Numerical Methods
Contents
The basic concepts and algorithms for the numerical solution to problems from analysis and linear algebra are covered:
- approximation theory, interpolation of continuous and differentiable functions by polynomials or spline functions
- numerical methods for linear systems of equations: Gauss elimination, Cholesky decomposition, QR decomposition, perturbation theory
- linear curve fitting
- eigenvalue problems
- numerical integration: interpolation and Gaussian quadrature
- nonlinear and parameter-dependent systems of equations