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» A Computational Journey into Nonlinearity
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ICCS
2005
Springer
15 years 3 months ago
Comparison of Nonlinear Conjugate-Gradient Methods for Computing the Electronic Properties of Nanostructure Architectures
In this article we report on our efforts to test and expand the current state-of-the-art in eigenvalue solvers applied to the field of nanotechnology. We singled out the nonlinea...
Stanimire Tomov, Julien Langou, Andrew Canning, Li...
CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
15 years 4 months ago
Fast computation of frequency response functions for a class of nonlinear systems
— One of the important and efficient tools in system analysis is the analysis of responses to harmonic excitations. For linear systems the information on such responses is conta...
Alexey V. Pavlov, Nathan van de Wouw
CPHYSICS
2008
90views more  CPHYSICS 2008»
14 years 9 months ago
Automatic computation of the travelling wave solutions to nonlinear PDEs
Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have bee...
Songxin Liang, David J. Jeffrey
AUTOMATICA
2006
88views more  AUTOMATICA 2006»
14 years 9 months ago
Exact computation of amplification for a class of nonlinear systems arising from cellular signaling pathways
A commonly employed measure of the signal amplification properties of an input/output system is its induced L2 norm, sometimes also known as H gain. In general, however, it is ext...
Eduardo D. Sontag, Madalena Chaves
CMSB
2009
Springer
15 years 4 months ago
Computing Reachable States for Nonlinear Biological Models
Abstract. In this paper we describe reachability computation for continuous and hybrid systems and its potential contribution to the process of building and debugging biological mo...
Thao Dang, Colas Le Guernic, Oded Maler