Results 21 to 30 of about 691 (194)

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
doaj   +1 more source

Asymptotic Behavior of Three Connected Stochastic Delay Neoclassical Growth Systems Using Spectral Technique

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
doaj   +1 more source

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 solution of nonlinear stochastic Itô–Volterra integral equation by stochastic modified hat function operational matrices

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
doaj   +1 more source

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
doaj   +1 more source

Stochastic Analysis of the Efficiency of a Wireless Power Transfer System Subject to Antenna Variability and Position Uncertainties

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, Gert-Jan Stockman, Hendrik Rogier, Dries Vande Ginste   +3 more
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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, Edwin Yao Kutorzi, Xinzhong Zhu   +2 more
doaj   +1 more source

Adaptive Stochastic Collocation on Sparse Grids [PDF]

PAMM, 2012
AbstractWe consider Partial Differential Equations (PDEs) with random parameters, solved by adaptive stochastic collocation. Our research studies common error indicators compared to adjoint based error estimates extended to the stochastic framework. We show that such estimates are able to detect the true error very accurately and suggest to replace the
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A Study of The Stochastic Burgers’ Equation Using The Dynamical Orthogonal Method

Axioms, 2023
In the current work, the stochastic Burgers’ equation is studied using the Dynamically Orthogonal (DO) method. The DO presents a low-dimensional representation for the stochastic fields. Unlike many other methods, it has a time-dependent property on both
Mohamed El-Beltagy, Ragab Mahdi, Adeeb Noor   +2 more
doaj   +1 more source

Simplex-stochastic collocation method with improved scalability [PDF]

Journal of Computational Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edeling, Wouter N., Dwight, R.P., Cinnella, Paola   +2 more
openaire   +4 more sources