Results 171 to 180 of about 1,013 (219)

A comparative study of generalized Polynomial Chaos based Approximations: integration vs. regression vs. collocation vs. kriging

, 2018
Gaël Poëtte
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Brownian Path Generation and Polynomial Chaos

SIAM Journal on Financial Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fox, Jamie, Ökten, Giray
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Generalized polynomial chaos-informed efficient stochastic Kriging

Journal of Computational Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Che, Yiming, Guo, Ziqi, Cheng, Changqing
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Time-dependent generalized polynomial chaos

Journal of Computational Physics, 2010
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Gerritsma, Marc, van der Steen, Jan-Bart, Vos, Peter, Karniadakis, George   +3 more
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Generalized polynomial chaos and random oscillators

International Journal for Numerical Methods in Engineering, 2004
AbstractWe present a new approach to obtain solutions for general random oscillators using a broad class of polynomial chaos expansions, which are more efficient than the classical Wiener–Hermite expansions. The approach is general but here we present results for linear oscillators only with random forcing or random coefficients.
Lucor, D., Su, C.-H., Karniadakis, G. E.
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Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators

SIAM Journal on Scientific Computing, 2004
Summary: The solution of nonlinear random oscillators subject to stochastic forcing is investigated numerically. In particular, solutions to the random Duffing oscillator with random Gaussian and non-Gaussian excitations are obtained by means of the generalized polynomial chaos (GPC).
Lucor, D., Karniadakis, G. E.
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Statistical analysis via generalized decoupled polynomial chaos

2015 IEEE 24th Electrical Performance of Electronic Packaging and Systems (EPEPS), 2015
This paper describes a new approach to the statistical characterization of high-speed interconnect circuits. The proposed approach is based on the idea of polynomial chaos and works by decoupling the matrices that arise from the Galerkin projection.
Xiaochen Liu, Emad Gad
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Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiu, Dongbin, Karniadakis, George Em
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Uncertainty quantification in acoustics through generalized polynomial chaos expansions

The Journal of the Acoustical Society of America, 2021
Modeling and simulation has become increasingly important within acoustics to support system design and evaluation while reducing the need for expensive or sometimes unattainable field experiments. Much time and money has been invested in developing computational models that propagate known (deterministic) input data through a deterministic, and often ...
Andrew S. Wixom, Gage S. Walters
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Generalized polynomial chaos for nonlinear random pantograph equations

Acta Mathematicae Applicatae Sinica, English Series, 2016
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Shi, Wen-Jie, Zhang, Cheng-Jian
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