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

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Read our Q&A with Kai Diethelm here.

 
 
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   Mathematical analysis and the mathematics of computation
Römisch W., Zeugmann T., Springer International Publishing, New York, NY, 2016. 703 pp.  Type: Book (978-3-319427-53-9), Reviews: (1 of 2)

Even though there are many deep connections between mathematical analysis and the mathematics of computation, these two fields are usually taught completely separately from each other. This traditional approach has the disadvantage tha...

May 24 2017  
   Discrete fourier and wavelet transforms: an introduction through linear algebra with applications to signal processing
Goodman R., World Scientific Publishing Co, Inc., River Edge, NJ, 2016. 300 pp.  Type: Book

Fourier and wavelet transforms have proven to be indispensable tools in signal processing. They are taught in many courses, both at the graduate and undergraduate levels. When deciding how to teach these topics, the lecturer can choose...

Aug 29 2016  
   The mathematics of medical imaging: a beginner’s guide (2nd ed.)
Feeman T., Springer International Publishing, New York, NY, 2015. 197 pp.  Type: Book (978-3-319226-64-4)

Medical imaging is a very important application area of advanced computational techniques. Without the use of up-to-date mathematical ideas and the corresponding algorithms, it would not be possible to convert the measurement data comi...

May 2 2016  
   Computing real roots of real polynomials
Sagraloff M., Mehlhorn K. Journal of Symbolic Computation 73(C): 46-86, 2016.  Type: Article

The computation of roots of a univariate polynomial is the most classical task in computational algebra. Since this problem arises in very many applications, plenty of techniques for its solution have been proposed. In this paper, Sagr...

Dec 1 2015  
   Introduction to nonlinear optimization: theory, algorithms, and applications with MATLAB
Beck A., SIAM, Philadelphia, PA, 2014. 294 pp.  Type: Book (978-1-611973-64-8)

Readers will find an elementary introduction to classical nonlinear optimization problems and methods for their solution in this book. The contents start from optimality conditions for unconstrained problems and describe the most commo...

Jun 4 2015  
   Numerical computations with GPUs
Kindratenko V., Springer Publishing Company, Incorporated, New York, NY, 2014. 405 pp.  Type: Book (978-3-319065-47-2)

Graphics processing units (GPUs) have recently become very important tools in high-performance computing (HPC). Due to their inherent massively parallel structure, they have been found to be able to provide the capability of accelerati...

Nov 3 2014  
   On Ziv’s rounding test
de Dinechin F., Lauter C., Muller J., Torres S. ACM Transactions on Mathematical Software 39(4): 1-19, 2013.  Type: Article

When working in classical finite precision arithmetic, one is often faced with the following problem: the result of a computation cannot be represented exactly. In such cases, one usually has the goal of constructing the computation al...

Sep 11 2013  
  An introduction to modern mathematical computing: with Mathematica
Borwein J., Skerritt M., Springer Publishing Company, Incorporated, New York, NY, 2012. 240 pp.  Type: Book (978-1-461442-52-3)

Due to their ever-increasing capabilities, today’s computer algebra systems, such as Mathematica and Maple, play an increasingly important role in mathematical computing. To reflect this rising significance, the authors have ...

Mar 5 2013  
  Greedy approximation
Temlyakov V., Cambridge University Press, New York, NY, 2011. 432 pp.  Type: Book (978-1-107003-37-8)

Many theories and algorithms in numerical mathematics and scientific computing are built on approximation theory. Many deep theoretical results have been successfully used to construct extremely powerful numerical algorithms. However, ...

Mar 14 2012  
   Algorithm 908: online exact summation of floating-point streams
Zhu Y., Hayes W. ACM Transactions on Mathematical Software 37(3): 1-13, 2010.  Type: Article

At the innermost core of many algorithms in scientific computing is the task of summing up many floating-point numbers. Therefore, it is important to have algorithms that can handle this problem fast and accurately. A key issue in this...

Dec 28 2010  
 
 
 
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