Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Siettos, C. I."'
Publikováno v:
Nature Communications, 8, 1562, 2017
When mathematical/computational problems reach infinity, extending analysis and/or numerical computation beyond it becomes a notorious challenge. We suggest that, upon suitable singular transformations (that can in principle be computationally detect
Externí odkaz:
http://arxiv.org/abs/1609.08274
Autor:
Tsoumanis, A. C., Siettos, C. I.
Publikováno v:
Nonlinear Dynamics, 67, 103-117 (2012)
We address an iterative procedure that can be used to detect coarse-grained hyperbolic unstable equilibria (saddle points) of microscopic simulators when no equations at the macroscopic level are available. The scheme is based on the concept of coars
Externí odkaz:
http://arxiv.org/abs/1010.5119
Publikováno v:
Int J. BIfurcation and Chaos, 20 (11), 3673-3688 (2010)
We focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically extract coars
Externí odkaz:
http://arxiv.org/abs/0903.2646
Publikováno v:
J. Non-Newtonian Fluid Mechanics, 151, 59-68 (2008)
We discuss how matrix-free/timestepper algorithms can efficiently be used with dynamic non-Newtonian fluid mechanics simulators in performing systematic stability/bifurcation analysis. The timestepper approach to bifurcation analysis of large scale s
Externí odkaz:
http://arxiv.org/abs/0707.3764
We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approach and tools from systems and control theory (design of experiments, da
Externí odkaz:
http://arxiv.org/abs/nlin/0510007
We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the solution of a fun
Externí odkaz:
http://arxiv.org/abs/nlin/0412006
We discuss computational superstructures that, using repeated, appropriately initialized short calls, enable temporal process simulators to perform alternative tasks such as fixed point computation, stability analysis and projective integration. We i
Externí odkaz:
http://arxiv.org/abs/math/0302040
The arc-length continuation framework is used for the design of state feedback control laws that enable a microscopic simulator trace its own open-loop coarse bifurcation diagram. The steering of the system along solution branches is achieved through
Externí odkaz:
http://arxiv.org/abs/nlin/0302005
Coarse Brownian Dynamics for Nematic Liquid Crystals: Bifurcation Diagrams via Stochastic Simulation
We demonstrate how time-integration of stochastic differential equations (i.e. Brownian dynamics simulations) can be combined with continuum numerical bifurcation analysis techniques to analyze the dynamics of liquid crystalline polymers (LCPs). Side
Externí odkaz:
http://arxiv.org/abs/cond-mat/0211455
Coarse timesteppers provide a bridge between microscopic / stochastic system descriptions and macroscopic tasks such as coarse stability/bifurcation computations. Exploiting this computational enabling technology, we present a framework for designing
Externí odkaz:
http://arxiv.org/abs/nlin/0207017