Results 11 to 20 of about 2,366,993 (184)
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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Nonstrictly Hyperbolic Conservation Laws [PDF]
Applied Mathematics Letters, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kan, Pui Tak, Pui Tak Kan
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High Order Fluctuation Splitting Schemes for Hyperbolic Conservation Laws [PDF]
, 2007 This thesis presents the construction, the analysis and the verification of a new form of higher than second order fluctuation splitting discretisation for the solution of steady conservation laws on unstructured meshes.
Mebrate, Netsanet Zerihun
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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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Comparison of high-order methods on unstructured grids [PDF]
, 2013 A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
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A moving mesh method for one-dimensional hyperbolic conservation laws [PDF]
, 2001 We develop an adaptive method for solving one-dimensional systems of hyperbolic conservation laws that employs a high resolution Godunov-type scheme for the physical equations, in conjunction with a moving mesh PDE governing the motion of the spatial ...
Russell, Robert D. +2 more
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Fully discrete high resolution schemes for systems of conservation laws [PDF]
, 1994 Effective and robust high resolution schemes are of vital importance for simulation of viscous and inviscid flows. Since second-order high resolution schemes in practice are inadquate for many applications, large efforts have been put towards ...
Shi, Jian
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Mathematics, 2021 A new modified Engquist–Osher-type flux-splitting scheme is proposed to approximate the scalar conservation laws with discontinuous flux function in space. The fact that the discontinuity of the fluxes in space results in the jump of the unknown function
Tingting Xiang +2 more
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Adaptive symmetric flux limiters with long computation times for hyperbolic conservation laws
Results in Applied Mathematics, 2023 The construction of the limiter is a critical factor in the traditional Total Variation Diminishing (TVD) scheme. Among the classical limiters, superbee has the lowest numerical dissipation, but it can lead to over-compression in smooth regions and ...
Shujiang Tang
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Multiresolution analysis for stochastic hyperbolic conservation laws
IMA Journal of Numerical Analysis, 2023 Abstract A multiresolution analysis (MRA) for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher-dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. An MRA of the DG spaces for the proposed adaptation strategy is presented.
Herty, Michael +2 more
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