Results 31 to 40 of about 793 (178)
Numerical Procedures for Random Differential Equations
Journal of Applied Mathematics, 2018 Some methodological approaches based on generalized polynomial chaos for linear differential equations with random parameters following various types of distribution laws are proposed.
Mohamed Ben Said +2 more
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Applied Sciences, 2023 With the rapid development of the mobile communication technology, the design of mobile phones has become more complex, and research on the electromagnetic radiation from mobile phones that reaches the human head has become important. Therefore, first of
Miao Yi +4 more
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IEEE Access, 2020 Semiconductor fabrication technologies as applies to the nanometer-era paradigms of nowadays have rendered uncertainty quantification analyses through component-level parameters compulsory and indispensable. Frequency responses of CMOS active filters are
Mecit Emre Duman, Onder Suvak
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Computing Black Scholes with Uncertain Volatility—A Machine Learning Approach
Mathematics, 2022 In financial mathematics, it is a typical approach to approximate financial markets operating in discrete time by continuous-time models such as the Black Scholes model.
Kathrin Hellmuth, Christian Klingenberg
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Metamodeling for Uncertainty Quantification of a Flood Wave Model for Concrete Dam Breaks
Energies, 2020 Uncertainties in instantaneous dam-break floods are difficult to assess with standard methods (e.g., Monte Carlo simulation) because of the lack of historical observations and high computational costs of the numerical models.
Anna Kalinina +6 more
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Adaptation and Enhancement of Generalized Polynomial Chaos for Industrial Applications [PDF]
PAMM, 2015 AbstractThis contribution presents ideas, how to adapt stochastic elements to industrial applications and reduce the number of simulations in comparison to Monte Carlo. Especially when the mathematical model equations are not known and just an input/output interface is given.
Philipp Glaser +2 more
openaire +1 more source
Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow
Energies, 2016 An intrusive spectral method of probabilistic load flow (PLF) is proposed in the paper, which can handle the uncertainties arising from renewable energy integration. Generalized polynomial chaos (gPC) expansions of dependent random variables are utilized
Yingyun Sun, Rui Mao, Zuyi Li, Wei Tian
doaj +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Stochastic simulation and robust design optimization of integrated photonic filters
Nanophotonics, 2017 Manufacturing variations are becoming an unavoidable issue in modern fabrication processes; therefore, it is crucial to be able to include stochastic uncertainties in the design phase. In this paper, integrated photonic coupled ring resonator filters are
Weng Tsui-Wei +3 more
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Interdisciplinary Materials, EarlyView.Vibrations in matter, from spider webs to molecules, water to flames, share a grammar with music. We propose that creativity emerges when constraints force expansion beyond existing possibilities. Selective imperfection restores balance, enabling invention.
Markus J. Buehler
wiley +1 more source