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- Matthias Kunik, Shamsul Qamar, Gerald Warnecke
- Numerische Mathematik
- 2004

- Wolfgang Dreyer, Matthias Kunik
- Monte Carlo Meth. and Appl.
- 1998

- Matthias Kunik, Shamsul Qamar, Gerald Warnecke
- SIAM J. Scientific Computing
- 2004

- Wolfgang Dreyer, Matthias Kunik, Karl Sabelfeld, Nikolai A. Simonov, K. Wilmanski
- Monte Carlo Meth. and Appl.
- 1998

s A numerical iterative scheme is suggested to solve the Euler equations in two and three dimensions. The step of the iteration procedure consists of integration over the velocity which is here carried out by three di erent approximate integration methods, and in particular, by a special Monte Carlo technique. Regarding the Monte Carlo integration, we… (More)

- Mahmoud A. E. Abdelrahman, Matthias Kunik
- J. Comput. Physics
- 2014

- Matthias Kunik
- 2005

This study provides a general frame for the generation of languages in recursive systems closely related to formal grammars, for the predicate calculus and a constructive induction principle. We introduce recursive systems generating the recursively enumerable relations between lists of terms, the basic objects under consideration. A recursive system… (More)

- equationsW . Dreyer, Matthias Kunik, Karl Sabelfeld, Nikolai Simonov, K . WilmanskiWeierstraÿ
- 2007

Iterative procedure for multidimesional Euler equations 1 Abstracts A numerical iterative scheme is suggested to solve the Euler equations in two and three dimensions. The step of the iteration procedure consists of integration over the velocity which is here carried out by three diierent approximate integration methods, and in particular, by a special… (More)

- Wolfgang Dreyer, Michael Junky, Matthias Kunik
- 2000

The aim of this article is to show that moment approximations of kinetic equations based on a Maximum Entropy approach can suuer from severe drawbacks if the kinetic velocity space is unbounded. As example, we study the Fokker Planck equation where explicit expressions for the moments of solutions to Riemann problems can be derived. The quality of the… (More)

- Matthias Kunik
- 2009

We use symmetric Poisson-Schwarz formulas for analytic functions f in the half-plane Re(s) > 1 2 with f(s) = f(s) in order to derive factorisation theorems for the Riemann zeta function. We prove a variant of the Balazard-Saias-Yor theorem and obtain explicit formulas for functions which are important for the distribution of prime numbers. In contrast to… (More)

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