References
- G. Jiang and C. W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126 (1996), no. 1, 202-228 https://doi.org/10.1006/jcph.1996.0130
- D. Kim and J. H. Kwon, A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis, J. Comput. Phys. 210 (2005), no. 2, 554-583 https://doi.org/10.1016/j.jcp.2005.04.023
- C. W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, NASA/CR-97-206253, ICASE Report No. 97-65, 1997
- D. Balsara and C. W. Shu, Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy, J. Comput. Phys. 160 (2000), no. 2, 405-452 https://doi.org/10.1006/jcph.2000.6443
- J. Shi, C. Hu, and C. W. Shu, A technique of treating negative weights in weno schemes, J. Comput. Phys. 175, (2002), 108-127 https://doi.org/10.1006/jcph.2001.6892
- R. Wang, H. Feng, and R. J. Spiteri, Observations on the fifth-order WENO method with non-uniform meshes, Appl. Math. Comput. 196 (2008), no. 1, 433-447 https://doi.org/10.1016/j.amc.2007.06.024
- M. Berger and J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys. 53 (1984), no. 3, 484-512 https://doi.org/10.1016/0021-9991(84)90073-1
- M. Berger and P. Colella, Local adaptive mesh refinement for shock hydrodynamics, J. Comput. Phys. 82 (1989), 67-84 https://doi.org/10.1016/0021-9991(89)90035-1
- J. Glimm, H. Kim, D. Sharp, and T. Wallstrom, A stochastic analysis of the scale up problem for flow in porous media, Comput. Appl. Math. 17 (1998), no. 1, 67-79
- C. W. Shu and S. Osher, Efficient implementation of essentially nonoscillatory shockcapturing schemes. II., J. Comput. Phys. 83 (1989), no. 1, 32-78 https://doi.org/10.1016/0021-9991(89)90222-2
- R. Deiterding, Parallel adaptive simulation of multi-dimensional detonation structures, Ph. D. thesis, Brandenburgische Technische Universitat Cottbus, 2003
- M. Berger and I. Rigoutsos, An algorithm for point clustering and grid generation, IEEE Trans. on System. 21 (1991), no. 5, 1278-1286 https://doi.org/10.1109/21.120081
- S. Li and J. M. Hyman, Adaptive mesh refinement for finite difference weno schemes, Technical Report LA-UR-03-8927, Los Alamos National Lab, 2003
- J. M. Hyman and S. Li, Interactive and dynamic control of adaptive mesh refinement with nested hierarchical grids, Technical Report LA-UR-98-5462, Los Alamos National Lab, 1998
- M. J. Berger and R. J. Leveque, Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems, SIAM J. Numer. Anal. 35 (1998), no. 6, 2298-2316 https://doi.org/10.1137/S0036142997315974
- R. J. LeVeque, Numerical Methods for Conservation Laws, Birkhauser, 1992
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