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	THE L-1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA 期刊论文 OAI收割 JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 1, 页码: 26-48 作者: Wen, Xin \| 收藏 \| 浏览/下载：17/0 \| 提交时间：2018/07/30 Liouville equations Hamiltonian preserving schemes Piecewise constant potentials Error estimate Perturbed initial data Semiclassical limit
	THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS 期刊论文 OAI收割 JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 45-67 作者: Wen, Xin; Jin, Shi \| 收藏 \| 浏览/下载：24/0 \| 提交时间：2018/07/30 Liouville equations Hamiltonian preserving schemes Discontinuous potentials l(1)-stability Semiclassical limit
	The l(1)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials 期刊论文 OAI收割 SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 5, 页码: 2688-2714 作者: Wen, Xin; Jin, Shi \| 收藏 \| 浏览/下载：16/0 \| 提交时间：2018/07/30 Liouville equations Hamiltonian preserving schemes piecewise constant potentials error estimate half order error bound semiclassical limit
	Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation 期刊论文 OAI收割 WAVE MOTION, 2006, 卷号: 43, 期号: 8, 页码: 667-688 作者: Jin, Shi; Wen, Xin \| 收藏 \| 浏览/下载：18/0 \| 提交时间：2018/07/30 geometrical optics reduced Liouville equation level set method Hamiltonian-preserving schemes Snell's law of refraction
	A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections 期刊论文 OAI收割 SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 5, 页码: 1801-1828 作者: Jin, Shi; Wen, Xin \| 收藏 \| 浏览/下载：13/0 \| 提交时间：2018/07/30 geometrical optics Liouville equation transmission and reflection Hamiltonian-preserving schemes