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ASMTA
2009
Springer
114views Mathematics» more  ASMTA 2009»
13 years 11 months ago
Improving the Efficiency of the Proxel Method by Using Individual Time Steps
Discrete stochastic models (DSM) are widely used in various application fields today. Proxel-based simulation can outperform discrete event-based approaches in the analysis of smal...
Claudia Krull, Robert Buchholz, Graham Horton
CORR
1999
Springer
124views Education» more  CORR 1999»
13 years 7 months ago
An Algebraic Programming Style for Numerical Software and its Optimization
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...
T. B. Dinesh, Magne Haveraaen, Jan Heering
COMPGEOM
2005
ACM
13 years 9 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 9 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu