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» On reducing a system of equations to a single equation
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CISC
2009
Springer
174views Cryptology» more  CISC 2009»
13 years 5 months ago
Algebraic Side-Channel Attacks
Abstract. In 2002, algebraic attacks using overdefined systems of equations have been proposed as a potentially very powerful cryptanalysis technique against block ciphers. However...
Mathieu Renauld, François-Xavier Standaert
SMA
2010
ACM
164views Solid Modeling» more  SMA 2010»
13 years 7 months ago
Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests
We present an algorithm which robustly computes the intersection curve(s) of an under-constrained piecewise polynomial system consisting of n equations with n + 1 unknowns. The so...
Michael Barton, Gershon Elber, Iddo Hanniel
BMCBI
2008
242views more  BMCBI 2008»
13 years 7 months ago
New time-scale criteria for model simplification of bio-reaction systems
Background: Quasi-steady state approximation (QSSA) based on time-scale analysis is known to be an effective method for simplifying metabolic reaction system, but the conventional...
Junwon Choi, Kyung-won Yang, Tai-yong Lee, Sang Yu...
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 6 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
JAR
2008
107views more  JAR 2008»
13 years 7 months ago
Differential Dynamic Logic for Hybrid Systems
Hybrid systems are models for complex physical systems and are defined as dynamical systems with interacting discrete transitions and continuous evolutions along differential equat...
André Platzer