A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws [PDF]
Entropy, 2019 This paper develops a fourth order entropy stable scheme to approximate the entropy solution of one-dimensional hyperbolic conservation laws. The scheme is constructed by employing a high order entropy conservative flux of order four in conjunction with ...
Xiaohan Cheng
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Multirate Timestepping Methods for Hyperbolic Conservation Laws [PDF]
Journal of Scientific Computing, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emil M Constantinescu, Adrian Sandu
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Physics-informed neural network with weighted loss and hard constraints for hyperbolic conservation laws [PDF]
Scientific ReportsIn this study, we proposed a weighted loss hard constraint physics-informed neural networks (PINNs) called WHC-PINN. WHC-PINN solves hyperbolic equations with the aid of a gradient weighting approach and by applying hard constraints.
Mahshid Sadat Ghoreishi, Hamid Naderan
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High order TVD scheme for hyperbolic conservation laws [PDF]
Alfarama Journal of Basic & Applied Sciences, 2020 In this paper, we introduced a new third order finite difference scheme for solving initial value problems for hyperbolic conservation laws. This method is a finite difference scheme combining a dissipative scheme (diffusion scheme) and a dispersive ...
Amr Abdalla, Anas Arafa, Ibrahim Osman
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Alternating Polynomial Reconstruction Method for Hyperbolic Conservation Laws
Mathematics, 2021 We propose a new multi-moment numerical solver for hyperbolic conservation laws by using the alternating polynomial reconstruction approach. Unlike existing multi-moment schemes, our approach updates model variables by implementing two polynomial ...
Shijian Lin +3 more
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A Seventh-order Perturbational Weighted Essentially Non-oscillatory Scheme for Hyperbolic Conservation Laws [PDF]
Alfarama Journal of Basic & Applied Sciences, 2023 This study presents a modified seventh-order weighted essentially non-oscillatory (WENO) finite difference scheme based on the numerical perturbation method established in [1].
Amr Abdalla +2 more
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Improvement of the WENO-NIP Scheme for Hyperbolic Conservation Laws
Axioms, 2022 The WENO-NIP scheme was obtained by developing a class of L1-norm smoothness indicators based on Newton interpolation polynomial. It recovers the optimal convergence order in smooth regions regardless of critical points and achieves better resolution ...
Ruo Li, Wei Zhong
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Four-Quadrant Riemann Problem for a 2×2 System II
Mathematics, 2021 In previous work, we considered a four-quadrant Riemann problem for a 2×2 hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of the initial data projects exactly one plane elementary wave.
Jinah Hwang +3 more
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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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Group Classification and Conservation Laws of a Class of Hyperbolic Equations
Abstract and Applied Analysis, 2021 s. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation ...
J. C. Ndogmo
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