An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws

Author:

Zhang Xinyue,Pan Liang,Cao WaixiangORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference41 articles.

1. Borges, R., Carmona, M., Costaand, B., Don, W.S.: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J. Comput. Phys. 227, 3191–3211 (2008)

2. Bohm, M.: An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Ph.D. thesis, Universität zu Köln (2018)

3. Cao, W.X., Zou, Q.S.: Analysis of spectral volume methods for 1D linear scalar hyperbolic equations. J. Sci. Comput. 90, 1–29 (2022)

4. Choi, B.J., Iskandarani, M., Levin, J., Haidvogel, D.B.: A spectral finite-volume method for the shallow water equations. Mon. Weather Rev. 132, 1777–1791 (2004)

5. Cockburn, B., Shu, C.-W.: TVB Runge–Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework. Math. Comput. 52, 411–435 (1989)

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