Xu-Dong Liu

Affiliations: 
University of California, Santa Barbara, Santa Barbara, CA, United States 
Area:
Mathematics
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"Xu-Dong Liu"
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Publications

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Lin C, Liu X. (2007) Convex ENO Schemes for Hamilton-Jacobi Equations Journal of Scientific Computing. 31: 195-211
Hou S, Liu X. (2007) Solutions of Multi-dimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Method Journal of Scientific Computing. 31: 127-151
Hou S, Liu X. (2005) A numerical method for solving variable coefficient elliptic equation with interfaces Journal of Computational Physics. 202: 411-445
Liu X, Lax PD. (2003) Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws II Journal of Computational Physics. 187: 428-440
Liu XD, Fedkiw RP, Kang M. (2000) A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains Journal of Computational Physics. 160: 151-178
Lax PD, Liu X. (1998) Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes Siam Journal On Scientific Computing. 19: 319-340
Liu X, Osher S. (1998) Convex ENO High Order Multi-dimensional Schemes without Field by Field Decomposition or Staggered Grids Journal of Computational Physics. 142: 304-330
Liu X, Osher S. (1996) Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I Siam Journal On Numerical Analysis. 33: 760-779
Liu X, Osher S, Chan T. (1994) Weighted Essentially Non-oscillatory Schemes Journal of Computational Physics. 115: 200-212
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