Results 21 to 30 of about 720 (191)
Известия Иркутского государственного университета: Серия "Математика", 2022 The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda +2 more
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SIMPLEX STOCHASTIC COLLOCATION FOR PIECEWISE SMOOTH FUNCTIONS WITH KINKS [PDF]
International Journal for Uncertainty Quantification, 2020 Most approximation methods in high dimensions exploit smoothness of the function being approximated. These methods provide poor convergence results for non-smooth functions with kinks. For example, such kinks can arise in the uncertainty quantification of quantities of interest for gas networks.
Fuchs, Barbara, Garcke, Jochen
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Numerical analysis of stochastic SIR model by Legendre spectral collocation method
Advances in Mechanical Engineering, 2019 This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
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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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Mathematics, 2022 In this study, we consider a nonlinear system of three connected delay differential neoclassical growth models along with stochastic effect and additive white noise, which is influenced by stochastic perturbation.
Ishtiaq Ali, Sami Ullah Khan
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Hybrid Stochastic Finite Element Method for Mechanical Vibration Problems
Shock and Vibration, 2015 We present and analyze a new hybrid stochastic finite element method for solving eigenmodes of structures with random geometry and random elastic modulus.
Harri Hakula, Mikael Laaksonen
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Sensors, 2016 The efficiency of a wireless power transfer (WPT) system in the radiative near-field is inevitably affected by the variability in the design parameters of the deployed antennas and by uncertainties in their mutual position.
Marco Rossi +3 more
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Results in Applied Mathematics, 2022 In this article, we present a numerical method to approximate for solving nonlinear Stochastic Itô–Volterra integral equations. This method is based on the modification of hat functions (MHFs) that introduce an operational matrix of integration.
Fatemeh Sharafi, Behrooz Basirat
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Numerical Solution of Nonlinear Backward Stochastic Volterra Integral Equations
Axioms, 2023 This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operational
Mahvish Samar +2 more
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A stochastic collocation method for stochastic Volterra equations of the second kind [PDF]
Journal of Integral Equations and Applications, 2015 This work describes and analyzes a stochastic collocation method for stochastic Volterra integral equations (SVIEs) of the second kind with random forcing terms. A collocation method is used in temporal direction, and a spectral collocation method is used in the stochastic dimension, which lead to an uncoupled linear system associated with the ...
Cao, Yanzhao, Zhang, Ran
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