Results 21 to 30 of about 2,183,872 (273)
Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton–Jacobi PDEs [PDF]
MCSS. Mathematics of Control, Signals and Systems, 2021 Solving high-dimensional optimal control problems and corresponding Hamilton–Jacobi PDEs are important but challenging problems in control engineering. In this paper, we propose two abstract neural network architectures which are, respectively, used to ...
J. Darbon, P. Dower, Tingwei Meng
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Communications on Pure and Applied Mathematics, Volume 76, Issue 2, Page 305-336, February 2023., 2023 Abstract Let be a domain, or more generally, a Lipschitz domain with small local Lipschitz constant. In this paper it is shown that if u is a function harmonic in and continuous in , which vanishes in a relatively open subset ; moreover, the normal derivative vanishes in a subset of with positive surface measure; then u is identically zero.
Xavier Tolsa
wiley +1 more source
Massively parallel computation of globally optimal shortest paths with curvature penalization
Concurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023 Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau +4 more
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Near-optimal approximation methods for elliptic PDEs with lognormal coefficients [PDF]
Mathematics of Computation, 2021 This paper studies numerical methods for the approximation of elliptic PDEs with lognormal coefficients of the form $-{\rm div}(a\nabla u)=f$ where $a=\exp(b)$ and $b$ is a Gaussian random field.
A. Cohen, G. Migliorati
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Mechanistic spatial models for heavy metal pollution
Environmetrics, Volume 33, Issue 8, December 2022., 2022 Abstract Mining operations can contribute substantial amounts of pollution in the form of atmospheric dust. Statistical models predicting the spread of pollutants from these sources are useful for evaluating the environmental impacts of mines. Our study develops a mechanistic spatial model for heavy metal concentrations in Cape Krusenstern National ...
Wilson J. Wright +3 more
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International Journal for Numerical Methods in Fluids, Volume 95, Issue 1, Page 107-142, January 2023., 2023 In this article, a novel mass and momentum conservative semi‐implicit finite volume scheme is developed for the coupled solution of hydrostatic shallow water flow and the movement of one or more floating rigid bodies. The coupling is achieved via a nonlinear volume function in the mass conservation equation that depends on the coordinates of the ...
Cristian Brutto, Michael Dumbser
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Mathematics, 2022 Heat and mass transfer study of hybrid nanomaterial Casson fluid with time-dependent flow over a vertical Riga sheet was deliberated under the stagnation region.
Taqi A. M. Shatnawi +2 more
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International Journal for Numerical Methods in Fluids, Volume 95, Issue 1, Page 143-175, January 2023., 2023 We present a new strong‐form meshless solver combined with the boundary condition‐enforced immersed boundary method for the numerical solution of the nonstationary, incompressible, viscous Navier–Stokes equations in their stream function‐vorticity (in 2D) and vector potential‐vorticity (in 3D) formulation.
George C. Bourantas +6 more
wiley +1 more source
Construction of hybrid 1D‐0D networks for efficient and accurate blood flow simulations
International Journal for Numerical Methods in Fluids, Volume 95, Issue 2, Page 262-312, February 2023., 2023 A set of coupling equations to appropriately couple nonlinear 1D and lumped‐parameter (0D) models for blood flow in compliant vessels is defined. Then, a methodology for the high‐order numerical coupling between 1D and 0D vessels through hybrid junctions is proposed.
Beatrice Ghitti +3 more
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Arabian Journal of Mathematics, 2022 Here the assessment of entropy generation with Soret and Dufour impact in flow of MHD Prandtl fluid along an unsteady stretching surface has been measured.
S. Asad, Shehnila Riaz
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