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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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A Rapid Solver for the Prediction of Flow-Field of High-Speed Vehicle Moving in a Tube
Energies, 2022 High-speed vehicles traveling in a tube with pressures similar to those experienced by aircraft at their maximum altitude are presented. Although the concept resembles Hyperloop, the pressure level investigated here is much higher and safer than that ...
Mohammed Abdulla, Khalid A. Juhany
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Playing with nonuniform grids [PDF]
, 1992 Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error.
Rinzema, K., +5 more
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Entropy splitting for high-order numerical simulation of compressible turbulence [PDF]
, 2002 A stable high-order numerical scheme for direct numerical simulation (DNS) of shock-free compressible turbulence is presented. The method is applicable to general geometries. It contains no upwinding, artificial dissipation, or filtering.
Li, Q. +5 more
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Numerical modelling of dense snow avalanches with a well-balanced scheme based on the 2D shallow water equations [PDF]
, 2023 A common technique for simulating non–Newtonian fluid dynamics, such as snow avalanches, is to solve the Shallow Water Equations (SWE), together with a rheological model describing the momentum dissipation by shear stresses.
Ernest Bladé +7 more
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Symmetry-Preserving Numerical Schemes [PDF]
, 2017 In these lectures we review two procedures for constructing finite difference numerical schemes that preserve symmetries of differential equations. The first approach is based on Lie's infinitesimal symmetry generators, while the second method uses the novel theory of equivariant moving frames.
Bihlo, Alexander, Valiquette, Francis
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Numerical schemes for nonlinear predictor feedback [PDF]
Mathematics of Control, Signals, and Systems, 2014 Implementation is a common problem with feedback laws with distributed delays. This paper focuses on a specific aspect of the implementation problem for predictor-based feedback laws: the problem of the approximation of the predictor mapping. It is shown that the numerical approximation of the predictor mapping by means of a numerical scheme in ...
Iasson Karafyllis, Miroslav Krstic
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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Frontiers in Public Health, 2023 In this study, a mathematical model for studying the dynamics of monkeypox virus transmission with non-pharmaceutical intervention is created, examined, and simulated using real-time data.
Mercy Ngungu +5 more
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A simple Cartesian scheme for compressible multimaterials [PDF]
, 2014 We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly different physical properties and constitutive laws, describing for example
GORSSE, Yannick +3 more
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