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Kai Diethelm
Hochschule für angewandte Wissenschaften Würzburg-Schweinfurt
Schweinfurt, Germany

Kai Diethelm is a software developer for GNS Gesellschaft f¿r Numerische Simulation mbH in Braunschweig, Germany, and an adjunct professor at the Computational Mathematics Institute, Technische Universit¿t Braunschweig. His position at GNS is focused on the development of specialized mathematical software for the highly accurate simulation of sheet metal forming processes, with applications mainly stemming from the automotive industry and their suppliers. This includes work on a finite element package, including the parallelization of the code. Moreover, he is involved in aspects dealing with pre- and post-processing, including the visualization of the results, and the integration of the code into a virtual process chain with an emphasis on the optimization of the forming operation in various ways.

Before joining GNS, he held research and teaching positions in applied and numerical mathematics at the universities of Hildesheim, Gie¿en and Braunschweig, where he has mainly worked in numerical integration and the numerical solution of differential equations. His favorite fields in this area are differential equations of noninteger order that can be used, for example, to model the mechanical behavior of viscoelastic materials like rubber, modern plastics (such as polymers), and even biological tissue, under the influence of external forces. He is a member of the editorial boards of Fractional Calculus and Applied Analysis and Fractional Dynamic Systems.

He received his diploma in mathematics from Technische Universit¿t Braunschweig in 1992, a PhD in computer science from Universit¿t Hildesheim in 1994, and a habilitation degree in mathematics, also from Universit¿t Hildesheim, in 1998. In addition, he has been named an Honorary Research Fellow in the Department of Mathematics at the University of Chester, UK.


Read our Q&A with Kai Diethelm here.


Low-rank approximation: algorithms, implementation, applications (2nd ed.)
Markovsky I., Springer International Publishing, New York, NY, 2019. 272 pp.  Type: Book (978-3-319896-19-9)

Low-rank approximation (LRA) is an abstract framework for approximately solving many highly complex problems in science and engineering within acceptable time limits. Concrete implementations of LRA-based algorithms for specific proble...


High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
Baffet D., Hesthaven J. Journal of Scientific Computing 72(3): 1169-1195, 2017.  Type: Article

The numerical solution of differential equations of fractional order is a notoriously difficult and complex matter, mainly due to the nonlocality of the operators and the nonsmoothness of the exact solutions. The former leads to a very...


Advanced finite element simulation with MSC Marc: application of user subroutines
Javanbakht Z., Öchsner A., Springer International Publishing, New York, NY, 2017. 347 pp.  Type: Book (978-3-319476-67-4)

Commercial (and other) finite element packages give their users the option to replace some of the package’s built-in subroutines with user-defined customized versions. This feature provides great flexibility and permits, for ...


Finite elements: theory and algorithms
Ganesan S., Tobiska L., Cambridge University Press, New York, NY, 2017. 216 pp.  Type: Book (978-1-108415-70-5)

The finite-element method is a well-established mathematical tool that allows the use of computing techniques for the solution of problems arising in the sciences and engineering. As such, it is a topic that can be addressed from many ...


Grid generation methods
Liseikin V., Springer International Publishing, New York, NY, 2017. 530 pp.  Type: Book (978-3-319578-45-3)

Many software systems in the field of scientific computing, in particular in the area of computational simulations, require the user to provide a decomposition of the geometrical domain of interest into a (typically very large) set of ...


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