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Response estimation and system identification of dynamical systems via physics-informed neural networks. [PDF]
Adv Model Simul Eng SciHaywood-Alexander M +3 more
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Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations
Applied Mathematics & Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenju Zhao, Max Gunzburger
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Collocation methods for nonlinear stochastic Volterra integral equations
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoli Xu, Yu Xiao, Haiying Zhang
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Efficient Stochastic Optimization using Chaos Collocation Method with modeFRONTIER
SAE International Journal of Materials and Manufacturing, 2008<div class="htmlview paragraph">Robust Design Optimization (RDO) using traditional approaches such as Monte Carlo (MC) sampling requires tremendous computational expense. Performing a RDO for problems involving time consuming CAE analysis may not even be possible within time constraints.
PEDIRODA, VALENTINO +5 more
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Unscented transform and stochastic collocation methods for stochastic electromagnetic compatibility
CEM'11 Computational Electromagnetics International Workshop, 2011This paper deals with the current growing interest concerning the use of stochastic techniques for electromagnetic compatability (EMC) issues. Various methods allow to face this problem: obviously, we may focus on the Monte Carlo (MC) formalism but other techniques have been implemented more recently (the unscented transform, UT, or stochastic ...
Sebastien Lallechere +3 more
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An h-adaptive stochastic collocation method for stochastic EMC/EMI analysis
2010 IEEE Antennas and Propagation Society International Symposium, 2010The analysis of electromagnetic compatibility and interference (EMC/EMI) phenomena is often fraught by randomness in a system's excitation (e.g., the amplitude, phase, and location of internal noise sources) or configuration (e.g., the routing of cables, the placement of electronic systems, component specifications, etc.).
Abdulkadir C Yucel +2 more
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AIP Conference Proceedings, 2012
In this paper, we investigate the model of three-dimensional (3D) stochastic multi-symplectic Hamiltonian Maxwell's equations, and consider the stochastic multi-symplectic numerical methods of solving such equations. In particular, multi-symplectic wavelet collocation method (MSWCM) is applied to such equations.
Jialin Hong, Lihai Ji
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In this paper, we investigate the model of three-dimensional (3D) stochastic multi-symplectic Hamiltonian Maxwell's equations, and consider the stochastic multi-symplectic numerical methods of solving such equations. In particular, multi-symplectic wavelet collocation method (MSWCM) is applied to such equations.
Jialin Hong, Lihai Ji
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Adjoint Error Estimation for Stochastic Collocation Methods
2014This paper deals with partial differential equations with random input data. An efficient way of solving such problems is adaptive stochastic collocation on sparse grids. For higher efficiency and a better understanding of the method, we derive adjoint error estimates for nonlinear stochastic solution functionals.
Bettina Schieche, Jens Lang
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A Stochastic Collocation Method for Simulating Groundwater Recharge
Advanced Materials Research, 2014We propose a stochastic collocation method based on sparse tensor product spaces to efficiently estimate groundwater recharge. The spatial variability of hydraulic conductivity of soil usually leads to the uncertainty of groundwater recharge.
Yun Qing Tang +2 more
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Transmission dynamic of stochastic hepatitis C model by spectral collocation method
Computer Methods in Biomechanics and Biomedical Engineering, 2021In this research work, we present an exciting mathematical analysis of a stochastic model, using a standard incidence function, for infectious disease hepatitis C transmission dynamics. In this model, we divided the infected population into three different classes with two different infection stages known as chronic class and acute class while the ...
Naseeb, Gul +3 more
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