Results 91 to 100 of about 2,892 (210)
An Adaptive WENO Collocation Method for Differential Equations with Random Coefficients
Mathematics, 2016 The stochastic collocation method for solving differential equations with random inputs has gained lots of popularity in many applications, since such a scheme exhibits exponential convergence with smooth solutions in the random space.
Wei Guo +3 more
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Accuracy of MUSCL and WENO Schemes on Non-Uniform Structured Meshes
气体物理The difference schemes constructed on the basis of one-dimensional uniform grids must be extended to non-uniform or curvilinear grids in practical applications, and the coordinate transformation process introduces geometry-induced errors. The accuracy of
Jun LIU, Yu LIU
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An alternative reconstruction for WENO schemes with adaptive order
CoRR, 2021 We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees.
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Hermite WENO schemes for Hamilton-Jacobi equations [PDF]
, 2005 In this paper, a class of weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving Hamilton-Jacobi equations is presented. The idea of the reconstruction in the HWENO schemes comes
邱建贤, Qiu, JX, Shu, CW
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STENCIL-NET for equation-free forecasting from data. [PDF]
Sci Rep, 2023 Maddu S +4 more
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Symmetry-preserving WENO limiters
, 2019 Weighted essentially non-oscillatory (WENO) reconstruction schemes are presented that preserve cylindrical symmetry for radial flows on an equal-angle polar mesh. These new WENO schemes are used with a Lagrangian discontinuous Galerkin (DG) hydrodynamic method.
Liu, Xiaodong +2 more
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A modified fifth-order WENO scheme for hyperbolic conservation laws [PDF]
, 2016 This paper deals with a new fifth-order weighted essentially non-oscillatory (WENO) scheme improving the WENO-NS and WENO-P methods which are introduced in Ha et al. J. Comput. Phys. (2013) and Kim et al., J. Sci. Comput. (2016) respectively.
Rathan, Samala, Raju, G Naga
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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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ComputationIn this paper, we propose the MUSWENO scheme, a novel mapped weighted essentially non-oscillatory (WENO) method that employs unequal-sized stencils, for solving nonlinear degenerate parabolic equations.
Zhengwei Hou, Liang Li
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WENO-Z scheme with new nonlinear weights for Hamilton-Jacobi equations and adaptive approximation
summary:A new fifth-order weighted essentially nonoscillatory (WENO) scheme is designed to approximate Hamilton-Jacobi equations. As employing a fifth-order linear approximation and three third-order ones on the same six-point stencil as before, a newly ...
Han, Wonho, Kim, Kwangil, Ri, Kwanhung
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