Results 171 to 180 of about 1,606 (214)
Chaos and bifurcations of a discretized Holling-II prey-predator model including prey refuge and Allee effect. [PDF]
Sci RepKhan MM, Uddin MJ.
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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).
Didier Lucor, George E. Karniadakis
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Time-dependent generalized polynomial chaos
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George Em Karniadakis
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Generalized polynomial chaos and random oscillators
International Journal for Numerical Methods in Engineering, 2004AbstractWe 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.
D Lucor, George Em Karniadakis
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Probabilistic Load Flow Based on Generalized Polynomial Chaos
IEEE Transactions on Power Systems, 2017An analytical method based on generalized polynomial chaos (gPC) is proposed for probabilistic load flow (PLF). The method preserves the nonlinearity of power flow equations whose rectangular formulations are adopted to facilitate the gPC expansion. The feasibility of the method is demonstrated by case studies from a 9-bus system.
Hao Wu, Yongzhi Zhou, Shufeng Dong
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Aircraft Safety Analysis Using Generalized Polynomial Chaos
Lecture Notes in Electrical Engineering, 2019In this paper we investigate the application of generalized polynomial chaos (gPC) for optimal control based aircraft safety assessment with parameter uncertainties. The approach is based on the formulation of an appropriate optimal control problem to obtain worst case inputs.
Florian Holzapfel
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Generalized polynomial chaos expansions with weights.
, 2015 Polynomial 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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Generalized polynomial chaos expansion for photonic circuits optimization
, 2016 A sparse combined generalized polynomial chaos model is proposed to characterize the impact of fabrication process variations in photonic circuits and perform design optimization. Simulations on a realistic example confirm the effectiveness of the technique.
MELATI, DANIELE +3 more
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Brownian Path Generation and Polynomial Chaos
SIAM Journal on Financial Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamie Fox, Giray Ökten
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Generalized polynomial chaos-informed efficient stochastic Kriging
Journal of Computational Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yiming Che, Ziqi Guo, Changqing Cheng
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