After successful completion of the course, students are able to:

• Being able to work on the typical tasks of numerical mathematics in practice.
• Using numerical methods and concepts and being able to adapt them to specific questions.
• To carry out the construction of numerical algorithms or to adapt and use existing algorithms.
• Able to adapt numerical methods and procedures to given situations.
• Develop an associated solution strategy to solve numerical problems.
• To determine the influence of numerical algorithms qualitatively and quantitatively.
• Use and compare numerical algorithms in specific tasks.

• Calibration of models
• Systems of linear equations
• Least squares problem
• Nonlinear systems of equations
• Numerical differentiation
• Ordinary differential equations
• Hybrid models
• Differential algebraic models
• Partial differential equations
• Numerical methods in data modelling

The concepts and methods of the lecture are practically examined and specific questions answered on specific tasks. The solutions are evaluated with a “score” function, which records the quality of the elaboration and compares it in the exercise group. In the face-to-face exercise itself, the solutions are presented by the students and questions from the LVA management have to be answered.

The course will be held by hybrid teaching, i.e. the exercises themselves will be held online, in the context of the attendance hours of the lecture, the exercise sheets will be discussed before elaboration. Detailed information is available in the associated TUWEL course and the preliminary meeting.

Examination immanent course

Basic knowledge in analysis, linear algebra and differential equations