Results 11 to 20 of about 257,535 (310)
Comparative Study of the Execution Time of Parallel Heat Equation on CPU and GPU
Journal of Communications Software and Systems, 2021 Parallelization has become a universal technique for computing an intensive scientific simulation to shorten the execution time of complex problems. It consists of bringing together the power of several thousand processors to perform complex calculations
Safa Belhaous +3 more
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On the Stability of Heat Equation [PDF]
Abstract and Applied Analysis, 2013 We prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.
Balázs Hegyi, Soon-Mo Jung
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Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2019 In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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Newton’s law of heating and the heat equation [PDF]
Involve, a Journal of Mathematics, 2009 Newton’s law of heating models the average temperature in an object by a simple ordinary differential equation, while the heat equation is a partial differential equation that models the temperature as a function of both space and time. A series solution of the heat equation, in the case of a spherical body, shows that Newton’s law gives an accurate ...
Gockenbach, Mark, Schmidtke, Kristin
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Conductive Heat Transfer in Thermal Bridges
Encyclopedia, 2022 A thermal bridge is a component of a building that is characterized by a higher thermal loss compared with its surroundings. Their accurate modeling is a key step in energy performance analysis due to the increased awareness of the importance of ...
Mathias Fuchs
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A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods
Entropy, 2023 Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers.
Corey Jason Trahan +3 more
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A Skew Stochastic Heat Equation [PDF]
Journal of Theoretical Probability, 2012 We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential. We obtain existence of a Markov solution, which is associated with an explicit Dirichlet form.
Bounebache, S.K., Zambotti, L.
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Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation [PDF]
, 2020 We study stochastic reaction--diffusion equation ∂tut(x)=12∂2xxut(x)+b(ut(x))+W˙t(x),t>0,x∈D where b is a generalized function in the Besov space Bβq,∞(R), D⊂R and W˙ is a space-time white noise on R+×D.
Butkovsky, O. +8 more
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
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Lack of controllability of the heat equation with memory [PDF]
, 2012 We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
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