Welcome to the Division of Computational Mathematics

Flows with Shocks

Wave propagation and Earthquakes

Fluid Structure Interaction Conjugate Heat Transfer

Computational mathematics is the branch of applied mathematics that develops and analyses numerical methods and algorithms for the solution of mathematical problems mainly from science and engineering. Important topics are well-posedness of the governing partial differential equations and convergence of the related numerical approximation. Topics such as accuracay, stability and efficiency of the numerical approximations, software aspects and computer implementation are important. The research is directed towards the solution of time-dependent partial differential equations. A short summary of present activities is given below.

We have develop high order accurate and stable finite difference methods and the analyse and improve the boundary treatment of finite volume methods. Another line of work deals with the development and implementation of boundary conditions for the Euler and Navier-Stokes equations. Future applications will include more coupled multi-physics problem. We are interested in well posedness for multiple equations sets as well as stable numerical coupling procedures. We consider various kinds of uncertainties in the data or parameters of the problem and aim for a computational methodology that delivers an answer with error bars.

The research discussed above is done in collaboration with NASA Langley Research Center, Center for Turbulence Research (CTR) at Stanford University and Southern Methodist University (SMU) in USA, University of the Witwatersrand (WITS) and the Council for Scientific and Industrial Research (CSIR) in South Africa, Nanospace AB, the Swedish Defence Research Agency (FOI) and Uppsala University in Sweden.

The base funding is from Linköping University while the external research is funded by Swedish Research Council, the Swedish National Space Board, the Higher Educational Comission of Pakistan, the DOE supported Predictive Science Academic Alliance Program and the European Union FP7 project IDIHOM.

We teach at a number of programs at the Institute of Technology and the Faculty of Educational Sciences.

The division has four professors (three of them are emeritus), two senior lecturers, one assistant lecturer, two postdocs and four graduate students.

• Email, fax and address to Computational Mathematics.
• Seminars at Computational Mathematics. (in swedish)
• BIT - a journal publishing papers in Numerical analysis.