Markus Grimmer Interval Arithmetic in Maple with intpakX (2009)
intpakX contains basic data types and operators for interval arithmetic as well as a variety of numerical methods using intervals. It offers the possibility to compute verified numerical results with...
Markus Grimmer, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, Markus Grimmer
A Parallel Solver for (Systems of) Linear Fredholm Integral Equations of the second kind in C-XSC We present a parallel verified solver for linear Fredholm integral equations of the second kind based...
Hansen’s Generalized Interval Arithmetic Realized in C-XSC (2008)
Hassan El-owny, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, Hasssan El-owny
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Complex Interval Function arcsin(z) in C-XSC (2008)
Frithjof Blomquist, Werner Hofschuster, Walter Krämer, Wissenschaftliches Rechnen, Herausgeber Prof, Dr. W. Krämer, ...
Frithjof Blomquist, Werner Hofschuster, Walter Krämer In C-XSC the complex interval standard functions f: C → C are implemented in cimath.cpp. For a function f and a given rectangular complex...
Computing and Visualizing Solution Sets of Interval Linear Systems (2008)
Walter Krämer, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, Walter Krämer, Walter Kraemer
The computation of the exact solution set of an interval linear system is a nontrivial task [2, 13]. Even in two and three dimensions a lot of work has to be done. We demonstrate two different...
Evgenija D. Popova, Walter Krämer, Wissenschaftliches Rechnen, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, ...
Abstract. Consider linear systems whose matrix and right-hand side vector depend affinelinearly on parameters varying within prescribed intervals. We present a C-XSC [9] implementation of a...
An MPI Extension for the use of C-XSC in parallel environments (2005)
Markus Grimmer, Wissenschaftliches Rechnen, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, Markus Grimmer, ...
Abstract. MPI is a common interface for communication in parallel environments. In this document, two strategies to apply MPI to user-defined data types are discussed. Subsequently, two...
Using PASCAL-XSC Flexible Arrays in C Functions (2002)
Andre Weinberg, Wissenschaftliches Rechnen, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, ...
In this note we describe a way to use external (e.g. C-) functions within a PASCAL-XSC program to manipulate dynamic and flexible arrays. Using this idea makes it possible to use external libraries...
Silicon-modified carbohydrate surfactants. 3. Cationic and anionic compounds (1997)
Wagner, R., Richter, L., Weiland, B., Weißmüller, J., Reiners, J., Krämer, W.
True vs. nominal size of the F-test in the linear regression model with autocorrelated errors (1991)