Computational Mathematics
Computational mathematics develops and analyses numerical methods and algorithms for the solution of problems in science and engineering. Important topics are well-posedness of the governing partial differential equations and convergence of the numerical approximation. Accuracy, stability, efficiency, software aspects and computer implementation are important.
Mathematical Statistics
Mathematical statistics is the science of randomness and probabilities. The research within the subject is divided into probability theory and statistical inference, where statistical inference (how to draw conclusions from random data) is based on probability theory.
Optimization
Optimization aims at finding the best solutions to difficult problems. All large-scale and complex operations must be planned, especially where cost is a factor. In many cases, the problems are too difficult to solve for a human being. A common property for many of these problems is that they give large, difficult combinatorial models that require research to be resolved.
