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SIAMNUM
2010
106views more  SIAMNUM 2010»
13 years 4 days ago
Computing Sacker-Sell spectra in Discrete Time Dynamical Systems
In this paper we develop boundary value methods for detecting Sacker-Sell spectra in discrete time dynamical systems. The algorithms are advancements of earlier methods for comput...
Thorsten Hüls
CGF
2010
135views more  CGF 2010»
13 years 2 months ago
Interactive Rendering of Non-Constant, Refractive Media Using the Ray Equations of Gradient-Index Optics
Existing algorithms can efficiently render refractive objects of constant refractive index. For a medium with a continuously varying index of refraction, most algorithms use the r...
Chen Cao, Zhong Ren, Baining Guo, Kun Zhou
SIAMNUM
2011
102views more  SIAMNUM 2011»
12 years 8 months ago
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
Abstract. When studying the ε-pseudospectrum of a matrix, one is often interested in computing the extremal points having maximum real part or modulus. This is a crucial step, for...
Nicola Guglielmi, Christian Lubich
MOC
2000
68views more  MOC 2000»
13 years 5 months ago
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Conservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equation admits mo...
Laurent Gosse, François James
BICOB
2011
Springer
12 years 5 months ago
A Systematic Approach to Evaluate Sustained Stochastic Oscillations
Although the populations of biological systems are inherently discrete and their dynamics are strongly stochastic, it is usual to consider their limiting behaviour for large envir...
Jorge Júlvez, Marta Z. Kwiatkowska, Gethin ...