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Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
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2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking
Internet Security Chaotic Sequences Statistical Tests
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2010/12/28
In this paper, a new chaotic pseudo-random number gen-erator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses im-
portant prop...
Improving random number generators by chaotic iterations. Application in data hiding
Chaotic sequences Topological chaos Pseudorandom random number generator
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2010/12/28
In this paper, a new pseudo-random number generator (PRNG) based on chaotic iterations is proposed. This method also combines the digits of two XORshifts PRNGs.
An inequality for sums of binary digits, with application to Takagi functions
Takagi function Approximate convexity Digital sum inequality
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2010/12/1
An inequality for sums of binary digits, with application to Takagi functions.