Introduction to Numerical Methods_WS 2026/2027

Introduction to Numerical Methods: Information and Credit Criteria

In many fields of science and engineering, numerical methods are essential tools for solving complex problems that do not have a closed solution. As models become more sophisticated, we often encounter situations where numerical approximations are needed to find effective solutions. Even when exact methods exist, they are often inadequate for large-scale problems due to computational complexity and memory limitations. In this course, we will focus primarily on the theoretical foundations and mathematical aspects of numerical methods. Our approach will emphasize understanding the underlying mathematical principles.

The main topics of this course are: Interpolation, Numerical Integration, Direct Solvers for Linear Systems, and Iterative Methods for Linear Systems.

In order to pass the course, you need to pass the final exam at the end of the semester (note grater than or equal to 4). The final exam will be a written test lasting 120 minutes. You will not be required to write any programming code in the exam.

I will distribute one set of exercises each week, which you will have to solve independently. The exercises must be solved by hand and submitted at the beginning of the lecture. We will discuss your solutions together from 14:00 to 16:00. You are not required to solve the weekly exercises, but it is highly recommended.

 

Prof. Josué Díaz

Email: josue.diazavalos@uni-due.de

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