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Building on a wealth of new data and advanced simulation methods, conventional research into urban systems seeks to embrace this complexity, measuring and modelling cities with increasingly greater detail and reliability.
Furthermore, as advanced simulation methods summarized by (Wood et al. 2015), rigorous simulation techniques, such as direct simulation, Monte Carlo method, and Molecular dynamic simulation, are very computationally expensive (Moghanloo et al. 2015; Yuan et al. 2015).
Advanced simulation methods seem to be more appropriate for treating this class of problems.
Advanced simulation methods have been successfully applied in structural dynamics and stochastic finite elements (see, e.g. [22]) and to fatigue analysis [23].
Many advanced simulation methods have been developed, but few have the ability to simulate the long time scale limit and to accurately model the microscopic effects of nano-scale systems at the same time.
Due to careful and deliberate trade-offs between often conflicting design requirements (low emission, high operating pressure and temperatures etc)., development and improvement of gas turbines nowadays relies heavily on advanced simulation methods.
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In order to circumvent this drawback, the failure probability may be estimated by means of approximate methods (see e.g. [9]) or advanced simulation-based methods (see e.g. [43]).
This method is based on Asymptotically Independent Markov Sampling AIMSS), a recently developed advanced simulation scheme originally proposed for Bayesian inference.
ChemChains is a feature-rich logic network simulation software which offers users many advanced simulation options.
The SMUs of simply-supported beam and aeroengine stator system (casings) were implemented to validate the proposed IRSM and advanced MC simulation method.
However, advances in simulation methods mean that system performance resulting from the use of new techniques and from the integration of innovative and more sustainable design approaches can now be fully assessed.
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