Results 61 to 70 of about 1,546 (231)
A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data [PDF]
, 2014 Stochastic collocation methods for approximating the solution of partial differential equations with random input data (e.g., coefficients and forcing terms) suffer from the curse of dimensionality whereby increases in the stochastic dimension cause an ...
C. G. Webster +7 more
core +1 more source
An Efficient Deterministic-Stochastic Model of the Human Body Exposed to ELF Electric Field
International Journal of Antennas and Propagation, 2016 The paper deals with the deterministic-stochastic model of the human body represented as cylindrical antenna illuminated by a low frequency electric field.
Anna Šušnjara, Dragan Poljak
doaj +1 more source
Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
wiley +1 more source
Stochastic simulation of the cure of advanced composites [PDF]
, 2015 This study focuses on the development of a stochastic simulation methodology to study the effects of cure kinetics uncertainty, in plane fibre misalignment and boundary conditions uncertainty on the cure process of composite materials.
Mesogitis, Tassos
core
Convergence of adaptive stochastic collocation with finite elements
, 2020 We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove for the first time convergence of a
Feischl, Michael, Scaglioni, Andrea
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A dramaturgy of uncertainty: Transdisciplinary manoeuvres across forestry and theatre
People and Nature, EarlyView.Abstract The uncertainties of climate change mean that forestry adaptation strategies are often complex and contested. Research has suggested that there is an interest in the forestry sector for facilitated dialogue about uncertainty (de Pellegrin Llorente et al., 2023).
Rachel Clive +4 more
wiley +1 more source
A Stochastic Collocation Algorithm for Uncertainty Analysis
, 2003 This report describes a stochastic collocation method to adequately handle a physically intrinsic uncertainty in the variables of a numerical simulation.
Lionel Mathelin, M. Yousuff Hussaini
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AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
doaj +1 more source
Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems [PDF]
Journal of Scientific Computing, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng Chen 0016 +2 more
openaire +1 more source
PLANTS, PEOPLE, PLANET, EarlyView.Biodiversity is threatened by human activities, with extinction debt accumulating rapidly. Many of these activities change the connectivity of populations, fragmenting existing population systems or bringing previously isolated populations or species into contact.
Zhiqin Long +7 more
wiley +1 more source