FSF3565 Program Construction in C++ for Scientific Computing

A Master degree including at least 45 university credits (hp) in in Mathematics (including differential equations  and numerical analysis) and Computer Science (including programming). Moreover, English B or equivalent is required.

• Object-oriented programming, basic notions in, and syntax of, C++

• Objects, classes and its definition, constructors and destructors

• Operators, operator overloading, polymorphism

• Basics of abstract classes, inheritance, generic programming

• Selected components of the C++ standard library

• Structured and unstructured grids, data structures for their implementation

• Implementation of numerical methods for partial differential equations

• Efficient implementation of numerical algorithms

• Finite difference methods on structured grids.

The aim of the course consists of providing knowledge how advanced numerical methods and complex algorithms in Scientific Computing can be implemented in C++.

After completion of the course the students can:

• Construct simple classes for often used mathematical objects;

• Create abstract classes and define simple template classes;

• Implement data structures for manipulating realistic geometry and complex grids for numerically solving partial differential equations;

• Optimize data structures and algorithms in C++ with respect to efficient computations for large-scale problems;

• Implement finite difference methods on structured grids.