This course introduces students to numerical methods commonly used in engineering with a focus on finite element (FE) analysis. Starting with finite differences and ending with static and dynamic FE problems, students will learn the fundamental concepts of finite elements as well as their implementation and application.

Numerical methods for the solution of flow, heat & mass transfer problems are presented and illustrated by analytical & computer exercises. The course is taught using the flipped classroom format.

The course provides an introduction into stochastic methods that are applicable for the description, treatment, and modeling of systems that are subject to uncertainties or that respond to parameter changes in a chaotic manner. Corresponding systems may arise in fluid dynamics, structural mechanics, biology, electrical engineering as well as other areas.