- Unit Coordinator: Josef Weinbub
- Programme: InterMaths
- ECTS Credits: 6
- Semester: 1
- Year: 2
- Campus: Vienna University of Technology
- Language: English
- Delivery: In-class
- Aims:
Students will be able to select and apply fundamental methods of scientific computing and to judge the challenges regarding computing time and implementation effort.
Furthermore, the students have solution skills for inter-disciplinary problems, are able to evaluate and analyze computational approaches, and are able to scientifically formulate and extensively analyze compute-intensive problems as well as develop appropriate approaches.
- Content:
- Computer Architectures
- Serial Optimization
- Numerical Derivatives and Integrals
- Finite Difference Discretization
- Numerical Linear Algebra
- Random Number Generation and Monte Carlo Methods
- Shared Memory Parallel Computing
- Algorithmic Complexity and Data Structures
- Mesh Generation and Visualization
- Software Engineering Principles for Scientific Computing
- Pre-requisites:
Numerical mathematics, scientific programing.
- Reading list:
Lecture notes
- Code: DT0651
- Unit Coordinator: Daniel Ruprecht
- ECTS Credits: 6
- Semester: 2
- Year: 1
- Campus: Hamburg University of Technology
- Language: English
- Aims:
Students are able to list numerical methods for the solution of ordinary differential equations and explain their core ideas, repeat convergence statements for the treated numerical methods (including the prerequisites tied to the underlying problem), explain aspects regarding the practical execution of a method, select the appropriate numerical method for concrete problems, implement the numerical algorithms efficiently and interpret the numerical results.
- Content:
- Numerical methods for Initial Value Problems: single step methods, multistep methods, stiff problems, differential algebraic equations (DAE) of index 1;
- Numerical methods for Boundary Value Problems: multiple shooting method, difference methods
- Pre-requisites:
Analysis, Linear Algebra, Basic MATLAB knowledge
- Reading list:
- E. Hairer, S. Noersett, G. Wanner: Solving Ordinary Differential Equations I: Nonstiff Problems
- E. Hairer, G. Wanner: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems
- Programme: RealMaths
- ECTS Credits: 6
- Semester: 1
- Year: 2
- Campus: Claude Bernard University Lyon 1
- Language: English
