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Numerische Mathematik 1

Josef Stoer
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The article was published on 1989-01-01. It has received 2186 citations till now.

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CR-LIBM A library of correctly rounded elementary functions in double-precision

Catherine Daramy-Loirat, +6 more
TL;DR: The crlibm project aims at developing a portable, proven, correctly rounded, and efficient mathematical library (libm) for double precision that provides the four rounding modes: To nearest, to +∞, to −∞ and to zero.
Journal ArticleDOI

Nonextensive aspects of self-organized scale-free gas-like networks

Stefan Thurner, +1 more
- 01 Oct 2005 - 
TL;DR: This work explores the possibility to interpret as a "gas" the dynamical self-organized scale-free network recently introduced by Kim et al. (2005), and numerically shows that this system exhibits nonextensive statistics in the degree distribution, and calculates how the entropic index q depends on α.
Journal ArticleDOI

A note on the iterative MRI reconstruction from nonuniform k-space data.

Tobias Knopp, +2 more
- 13 Mar 2007 - 
TL;DR: A recently proposed implicit discretisation scheme is used which generalises the standard approach based on gridding and improves the reconstruction quality when the sampling scheme or the weights are less regular.
Book ChapterDOI

The laplacian paradigm: emerging algorithms for massive graphs

Shang-Hua Teng
TL;DR: The goal of this presentation is to encourage more researchers to consider the use of the Laplacian Paradigm to develop faster algorithms for solving fundamental problems in combinatorial optimization, in scientific computing, in machine learning and data analysis, and in other applications that involve massive graphs.
Journal ArticleDOI

A parallel hp -adaptive discontinuous Galerkin method for hyperbolic conservation laws

Kim S. Bey, +2 more
- 01 Apr 1996 - 
TL;DR: Numerical experiments suggest that these techniques are highly parallelizable and deliver super-linear rates of convergence, thereby yielding efficiency many times superior to conventional schemes for hyperbolic problems.