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Stochastic thermal modeling by polynomial chaos expansion
19th International Workshop on Thermal Investigations of ICs and Systems (THERMINIC), 2013In this paper an effective approach is proposed for generating stochastic compact thermal models of electronics components and packages. The approach exhibits high levels of accuracy for very small state space dimensions of the model. It is also efficient since it requires the solution of few deterministic thermal problems in the frequency domain.
CODECASA, LORENZO, DI RIENZO, LUCA
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Compressive polynomial chaos expansion for multidimensional model maps
2015Modern high-resolution numerical models used in engineering often produce multidimensional maps of outputs (e.g. nodal displacements on a FEM mesh) that may result in more than 105 highly correlated outputs for each set of model parameters. Most available metamodelling techniques, however, are not yet suitable for handling such large maps, including ...
Marelli, Stefano, Sudret, Bruno
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Adaptive sparse polynomial chaos expansions: A survey
2019ISBN:978-3-903024-84 ...
Lüthen, Nora, Sudret, Bruno
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Generalized polynomial chaos expansions with weights.
2015Polynomial chaos is used as an alternative to Monte Carlo methods for the propagation of uncertainty through dynamical systems. By truncating the infinite series of the polynomial chaos expansion to a finite order, the positivity of the approximate solution may be lost.
Obermaier, J., Stavropoulou, F.
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Hermite Polynomials and Wiener Chaos Expansion
2022Francesco Russo, Pierre Vallois
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Surrogate modeling based on resampled polynomial chaos expansions
Reliability Engineering and System Safety, 2020Zicheng Liu +2 more
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