Results 31 to 40 of about 41,720 (280)
Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws
Networks and Heterogeneous Media, 2016 We revisit the Cauchy-Dirichlet problem for degenerate parabolic scalar conservation laws.We suggest a new notion of strong entropy solution. It gives a straightforward explicit characterization of the boundary values of the solution and of the flux,and ...
Boris Andreianov +1 more
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An exact particle method for scalar conservation laws and its application to stiff reaction kinetics
, 2010 An "exact" method for scalar one-dimensional hyperbolic conservation laws is presented. The approach is based on the evolution of shock particles, separated by local similarity solutions.
Farjoun, Yossi, Seibold, Benjamin
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Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2013 We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3.
A. R. Appadu, A. A. I. Peer
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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
Energy Reports, 2020 In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
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Schaeffer's regularity theorem for scalar conservation laws does not extend to systems [PDF]
, 2017 Several regularity results hold for the Cauchy problem involving one scalar conservation law having convex flux. Among these, Schaeffer's theorem guarantees that if the initial datum is smooth and is generic, in the Baire sense, the entropy admissible ...
Caravenna, Laura, L., Spinolo
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Advanced Science, EarlyView.A neural network‐enabled permittivity engineering paradigm is introduced, transcending traditional trial‐and‐error design. By decoupling electromagnetic parameters and screening a high‐throughput feature space, an ultrathin (1.0 mm) magnetic absorber is inversely designed, experimentally achieving a superior and customizable 5.1 GHz bandwidth and ...
Chenxi Liu +9 more
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A rarefaction-tracking method for hyperbolic conservation laws
, 2009 We present a numerical method for scalar conservation laws in one space dimension. The solution is approximated by local similarity solutions. While many commonly used approaches are based on shocks, the presented method uses rarefaction and compression ...
A Harten +22 more
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Advanced Electronic Materials, EarlyView.This work presents a physics‐based DC compact model of an Organic Electrochemical Transistor (OECT) that takes into account the faradaic redox reaction in the above threshold regime and incorporates the diffusive current of the subthreshold regime based on semiconductor physics.
Ermias Telahun Teka +6 more
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Fluids, 2023 The numerical solution of hyperbolic conservation laws requires algorithms with upwind characteristics. Conventional methods such as the numerical difference method can realize this characteristic by constructing special distributions of nodes.
Bing Yang +3 more
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