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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. -- Read our Q&A with Kai Diethelm here. |
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1 - 10 of 21
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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...
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May 24 2017 |
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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...
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Aug 29 2016 |
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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...
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Dec 1 2015 |
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Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
Wang H., Du N. Journal of Computational Physics 258305-318, 2014. Type: Article
Differential equations of fractional order have in recent years proven to be very useful tools for the mathematical modeling of many phenomena in science and engineering. Certain types of behavior that can be observed in reality can on...
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Sep 12 2014 |
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Low power GPGPU computation with imprecise hardware
Zhang H., Putic M., Lach J. DAC 2014 (Proceedings of the 51st Annual Design Automation Conference, San Francisco, CA, Jun 1-5, 2014) 1-6, 2014. Type: Proceedings
In high-performance computing, reducing the amount of energy required to perform the actual computations has recently become a highly important issue. In this paper, Zhang et al. deal with this topic in the framework of a general-purpo...
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Jul 8 2014 |
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Walter Gautschi: selected works with commentaries (3 vols.)
Brezinski C., Sameh A., Springer, New York, NY, 2014. 669 pp. Type: Book (978-1-461470-33-5)
Walter Gautschi is one of the leading numerical analysts of the second half of the 20th and the beginning of the 21st century. He has contributed to almost all areas of numerical analysis, and many of his results have proven to be high...
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May 6 2014 |
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GPU acceleration of data assembly in finite element methods and its energy implications
Hu X., Hsieh G., Tang L., Hammond S., Chen D., Niemier M., Barrett R. ASAP 2013 (Proceedings of the 24th IEEE International Conference on Application-Specific Systems, Architectures and Processors, Washington, DC, Jun 5-7, 2013) 321-328, 2013. Type: Proceedings
Finite element methods are a standard tool for the numerical simulation of many phenomena in physics, engineering, and other areas. As the processes to be simulated become more and more complex, and the accuracy requirements become hig...
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Dec 5 2013 |
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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...
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Sep 11 2013 |
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Mathematics of approximation
de Villiers J., Atlantis Publishing Corporation, Paris, France, 2012. 427 pp. Type: Book (978-9-491216-49-7)
Classical approximation theory is the foundation on which many of the numerical algorithms used in scientific computing are built. This book intends to provide an introduction to this theory aimed at advanced undergraduate and early gr...
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Jan 8 2013 |
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A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
Boubendir Y., Antoine X., Geuzaine C. Journal of Computational Physics 231(2): 262-280, 2012. Type: Article
The numerical solution of partial differential equations is one of the prime tasks in scientific computing. The two most important challenges in this area are the increasing size of the models and the ever-stricter accuracy requirement...
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Feb 8 2012 |
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