High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton–Jacobi equations [PDF]
Journal of Computational Physics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bryson, Steve, Levy, Doron
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Advances in Difference Equations, 2020 In this paper, we propose an efficient B-spline finite element method for a class of fourth order nonlinear differential equations with variable coefficient. For the temporal discretization, we choose the Crank–Nicolson scheme.
Dandan Qin +3 more
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Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids [PDF]
, 2004 We present a new semi-discrete central scheme for approximating solutions of Hamilton-Jacobi equations on unstructured meshes. This scheme extends the numerical Hamiltonians of Kurganov et al. to unstructured grids. Similarly to the previous works on structured grids, a semi-discrete formulation of central schemes is made possible due to estimates of ...
Doron Levy, Suhas Nayak
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Analysis of the modified mass method for the dynamic Signorini problem with Coulomb friction [PDF]
, 2011 International audienceThe aim of the present work is to analyze the modified mass method for the dynamic Signorini problem with Coulomb friction. We prove that the space semi-discrete problem is equivalent to an upper semi-continuous one-sided Lipschitz ...
Doyen, David, Ern, Alexandre
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The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation
Abstract and Applied Analysis, 2013 A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented. Upwind technique is applied to handle the nonlinear convection term.
Qing Yang
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Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros [PDF]
, 2001 We present a detailed description of a classification scheme for phase transitions in finite systems based on the distribution of Fisher zeros of the canonical partition function in the complex temperature plane.
A. Einstein +28 more
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High-order semi-Lagrangian kinetic scheme for compressible turbulence. [PDF]
Physical Review E, 2020 Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations.
D. Wilde +3 more
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PLoS ONE, 2019 By using the semi-discretization technique of differential equations, the discrete analogue of a kind of cellular neural networks with stochastic perturbations and fuzzy operations is formulated, which gives a more accurate characterization for ...
Sufang Han, Guoxin Liu, Tianwei Zhang
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Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation [PDF]
Mathematics of Computation, 2019 In this paper, we provide a detailed convergence analysis for a first order stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation, which follows from consistency and stability estimates for the numerical error function.
Xiao Li, Zhonghua Qiao, Cheng Wang
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Fully discrete WENO with double entropy condition for hyperbolic conservation laws
Engineering Applications of Computational Fluid Mechanics, 2023 This paper put forward a new fully discrete scheme construction method – double entropy condition solution formula method. With that, we turn the state-of-the-art semi-discrete WENO + RK scheme into a fully discrete scheme, which is named as Full-WENO. A
Haitao Dong, Tong Zhou, Fujun Liu
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