Finite-Volume-Method for Numerical Simulation

Course content

• Systematic extension of the basic knowledge acquired in the bachelor's degree programme in mathematics and expansion of knowledge and expertise in additional areas of mathematics
• Gain an understanding of the complex links between the different areas of applied and pure mathematics
• Studying theories and mastering their complex methods and studying in-depth mathematical applications also through project-type examples
• Realization of algorithms introduced in numerical mathematics
• Get to know data structures required for meshing strategies differentiation of discretized partial differential and integral equations and realization of their representation in programming languages

The students learn the basic ideas required to discretize partial differential and integral equaions using finite-volume methods for mixed element meshes. Based on convection-diffusion processes the principals to realize stable numerical methods are discussed. Required knowledge and techniques are presented in the lecture.