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PODC
2004
ACM
14 years 25 days ago
On the design of distributed protocols from differential equations
We propose a framework to translate certain subclasses of differential equation systems into distributed protocols that are practical. The synthesized protocols are state machine...
Indranil Gupta
SCALESPACE
1997
Springer
13 years 11 months ago
Scale Space Analysis by Stabilized Inverse Diffusion Equations
Abstract. We introduce a family of first-order multi-dimensional ordinary differential equations (ODEs) with discontinuous right-hand sides and demonstrate their applicability in i...
Ilya Pollak, Alan S. Willsky, Hamid Krim
CPHYSICS
2007
89views more  CPHYSICS 2007»
13 years 7 months ago
Numerical differentiation of experimental data: local versus global methods
In the context of the analysis of measured data, one is often faced with the task to differentiate data numerically. Typically, this occurs when measured data are concerned or dat...
Karsten Ahnert, Markus Abel
AMC
2006
94views more  AMC 2006»
13 years 7 months ago
Error analysis of a specialized numerical method for mathematical models from neuroscience
The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience a...
Jiyeon Oh, Donald A. French
SIAMREV
2010
140views more  SIAMREV 2010»
13 years 2 months ago
What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
Computational Convex Analysis algorithms have been rediscovered several times in the past by researchers from different fields. To further communications between practitioners, we ...
Yves Lucet