Numerical analysis is a branch within mathematics that is concerned with the construction and analysis of methods to numerically approximate solutions to different mathematical problems. The subject is also referred to as computational mathematics, and is needed to improve on computer simulations of complex problems that are extensively used both in industry and other scientific disciplines.
The research encompasses a wide range of methods, including finite difference, finite element and boundary integral methods, multi scale methods, Krylov methods and Monte Carlo methods. Applications are found within diverse fields such as for example electro magnetics, fluid mechanics, financial mathematics, quantum mechanics, biology and medicine.
The Division of Numerical Analysis runs first-cycle courses on numerical methods within most engineering programs at KTH. Several second-cycle courses are available, and a specialization in the subject is offered within the Doctoral program in Applied and Computational Mathematics.