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SIAMSC
2011
126views more  SIAMSC 2011»
13 years 2 months ago
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
The electrical activity of the heart may be modeled by a non-linear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electr...
Micol Pennacchio, Valeria Simoncini
CDC
2008
IEEE
143views Control Systems» more  CDC 2008»
14 years 1 months ago
On the use of numerical methods for analysis and control of nonlinear convective systems
Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
Edward Allen, John A. Burns, David S. Gilliam
IJCV
2007
208views more  IJCV 2007»
13 years 7 months ago
Binet-Cauchy Kernels on Dynamical Systems and its Application to the Analysis of Dynamic Scenes
We derive a family of kernels on dynamical systems by applying the Binet-Cauchy theorem to trajectories of states. Our derivation provides a unifying framework for all kernels on d...
S. V. N. Vishwanathan, Alexander J. Smola, Ren&eac...
STACS
1997
Springer
13 years 11 months ago
Methods and Applications of (MAX, +) Linear Algebra
Exotic semirings such as the “(max, +) semiring” (R ∪ {−∞}, max, +), or the “tropical semiring” (N ∪ {+∞}, min, +), have been invented and reinvented many times s...
Stephane Gaubert, Max Plus
ASIACRYPT
2005
Springer
14 years 1 months ago
An Analysis of the XSL Algorithm
The XSL “algorithm” is a method for solving systems of multivariate polynomial equations based on the linearization method. It was proposed in 2002 as a dedicated method for ex...
Carlos Cid, Gaëtan Leurent