Výsledky vyhledávání - "Stochastic Collocation Methods"
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Multi-Index Stochastic Collocation for random PDEs
ISSN: 0045-7825, 1879-2138Vydáno: Elsevier B.V 01.07.2016Vydáno v Computer methods in applied mechanics and engineering (01.07.2016)“…In this work we introduce the Multi-Index Stochastic Collocation method (MISC) for computing statistics of the solution of a PDE with random data. MISC is a…”
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Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model
ISSN: 0021-9991, 1090-2716Vydáno: Cambridge Elsevier Inc 01.04.2021Vydáno v Journal of computational physics (01.04.2021)“…•Effects of uncertainties of elastic and viscoelastic parameters of FSI in arteries.•Innovative asymptotic preserving IMEX finite volume stochastic collocation…”
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Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients
ISSN: 0029-5981, 1097-0207, 1097-0207Vydáno: Chichester, UK John Wiley & Sons, Ltd 05.11.2009Vydáno v International journal for numerical methods in engineering (05.11.2009)“…We consider the problem of numerically approximating statistical moments of the solution of a time‐dependent linear parabolic partial differential equation…”
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IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains
ISSN: 0045-7825, 1879-2138Vydáno: Amsterdam Elsevier B.V 01.07.2019Vydáno v Computer methods in applied mechanics and engineering (01.07.2019)“…This paper proposes an extension of the Multi-Index Stochastic Collocation (MISC) method for forward uncertainty quantification (UQ) problems in computational…”
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An Efficient and Accurate Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.10.2024Vydáno v Journal of scientific computing (01.10.2024)“…We propose, analyze, and test a penalty projection-based robust efficient and accurate algorithm for the Uncertainty Quantification (UQ) of the time-dependent…”
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Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions
ISSN: 0045-7825, 1879-2138Vydáno: Amsterdam Elsevier B.V 15.06.2018Vydáno v Computer methods in applied mechanics and engineering (15.06.2018)“…In this paper we develop and analyze the stochastic collocation method for solving the time-dependent metamaterial Maxwell’s equations subject to random…”
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Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity
ISSN: 0898-1221, 1873-7668Vydáno: Elsevier Ltd 01.08.2015Vydáno v Computers & mathematics with applications (1987) (01.08.2015)“…We consider flows in fractured media, described by Discrete Fracture Network (DFN) models. We perform an Uncertainty Quantification analysis, assuming the…”
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Smoothing the payoff for efficient computation of Basket option prices
ISSN: 1469-7688, 1469-7696Vydáno: Routledge 04.03.2018Vydáno v Quantitative finance (04.03.2018)“…We consider the problem of pricing basket options in a multivariate Black-Scholes or Variance-Gamma model. From a numerical point of view, pricing such options…”
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Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity
ISSN: 1615-3375, 1615-3383Vydáno: New York Springer US 01.12.2016Vydáno v Foundations of computational mathematics (01.12.2016)“…We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation (PDE) with…”
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A SPARSE COMPOSITE COLLOCATION FINITE ELEMENT METHOD FOR ELLIPTIC SPDEs
ISSN: 0036-1429, 1095-7170Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Vydáno v SIAM journal on numerical analysis (01.01.2011)“…This work presents a stochastic collocation method for solving elliptic PDEs with random coefficients and forcing term which are assumed to depend on a finite…”
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Uncertainty analysis of the specific absorption rate induced in a phantom using a stochastic spectral collocation method
ISSN: 0003-4347, 1958-9395Vydáno: Paris Springer-Verlag 01.08.2011Vydáno v Annales des télécommunications (01.08.2011)“…Uncertainty analysis of human exposure to radio waves is studied with a spectral approach of stochastic collocation methods. This approach allows determining…”
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Variability on the Propagation of a Plane Wave Using Stochastic Collocation Methods in a Bio Electromagnetic Application
ISSN: 1531-1309, 1558-1764Vydáno: New York, NY IEEE 01.04.2009Vydáno v IEEE microwave and wireless components letters (01.04.2009)“…In this letter, the uncertainties on the angles of propagation of a plane wave in a bio electromagnetic application are studied using two non intrusive…”
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Efficient global reliability sensitivity method by combining dimensional reduction integral with stochastic collocation
ISSN: 0951-8320Vydáno: Elsevier Ltd 01.08.2025Vydáno v Reliability engineering & system safety (01.08.2025)“…Defined as the mean square difference between unconditional failure probability (FP) and conditional FP on fixed input realization, global reliability…”
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Stochastic collocation for optimal control problems with stochastic PDE constraints by meshless techniques
ISSN: 0022-247X, 1096-0813Vydáno: Elsevier Inc 01.02.2024Vydáno v Journal of mathematical analysis and applications (01.02.2024)“…In this paper, we investigate the stochastic collocation method with meshless techniques for an optimal control problem of elliptic equations with random…”
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Stochastic analysis of a single-rotor to quantify the effect of RPS variation on noise of hovering multirotors
ISSN: 0003-682X, 1872-910XVydáno: Elsevier Ltd 01.11.2021Vydáno v Applied acoustics (01.11.2021)“…Multirotor drone generally controls its attitude and position through the variation of the angular speed of each rotor, which makes the sound signature from it…”
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A novel and efficient stochastic collocation method for estimating failure probability function in one-dimensional reduced space
ISSN: 0045-7949, 1879-2243Vydáno: Elsevier Ltd 01.07.2024Vydáno v Computers & structures (01.07.2024)“…•Failure probability function is equivalently expressed in one-dimensional reduced space.•A unified density weight function, which is independent of…”
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Stochastic analysis of the impact of freestream conditions on the aerodynamics of a rectangular 5:1 cylinder
ISSN: 0045-7930, 1879-0747Vydáno: Elsevier Ltd 10.09.2016Vydáno v Computers & fluids (10.09.2016)“…•Benchmark on the aerodynamics of a 5:1 rectangular cylinder (BARC).•Stochastic analysis of the impact of uncertainties in the freestream…”
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Experimental and stochastic analysis of lyophilisation
ISSN: 0939-6411, 1873-3441, 1873-3441Vydáno: Netherlands Elsevier B.V 01.02.2021Vydáno v European journal of pharmaceutics and biopharmaceutics (01.02.2021)“…[Display omitted] The development of the freeze-drying processes through the use of a combination of targeted experiments and the application of…”
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Quantile-based sequential optimization and reliability assessment method under random and interval hybrid uncertainty
ISSN: 0266-8920, 1878-4275Vydáno: Elsevier Ltd 01.04.2024Vydáno v Probabilistic engineering mechanics (01.04.2024)“…Under random and interval hybrid uncertainties, solving hybrid reliability based design optimization (HRBDO) can acquire an optimal balance between structural…”
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Polynomial Chaos Expansion for Parametric Problems in Engineering Systems: A Review
ISSN: 1932-8184, 1937-9234Vydáno: New York IEEE 01.09.2020Vydáno v IEEE systems journal (01.09.2020)“…In engineering systems with uncertain parameters, it is crucial for system analysis and control to analyze the relationship between these uncertain parameters…”
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