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» In Praise of Numerical Computation
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MOC
2002
100views more  MOC 2002»
13 years 8 months ago
Numerical computation of viscous profiles for hyperbolic conservation laws
Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of ...
Heinrich Freistühler, Christian Rohde
FUIN
2006
93views more  FUIN 2006»
13 years 8 months ago
Membrane Computing and Economics: Numerical P Systems
Abstract. With inspiration from the economic reality, where numbers are basic entities to work with, we propose a genuinely new kind of P systems, where numerical variables evolve,...
Gheorghe Paun, Radu A. Paun
ICMS
2010
13 years 7 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
JC
2008
96views more  JC 2008»
13 years 8 months ago
Adaptivity and computational complexity in the numerical solution of ODEs
In this paper we analyze the problem of adaptivity for one-step numerical methods for solving ODEs, both IVPs and BVPs, with a view to generating grids of minimal computational co...
Silvana Ilie, Gustaf Söderlind, Robert M. Cor...
ENTCS
2006
94views more  ENTCS 2006»
13 years 8 months ago
Computation of Wave Fronts on a Disk I: Numerical Experiments
This paper discusses numerical experiments of wave front propagation on a flat disk and related results. In particular, notions of extremal rays and wave front caustics are introd...
Georg Essl