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HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 305-323
作者:  Wen, Xin
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30
Heaviside function integral  High order numerical method  Irregular domain  
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
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：100/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  Piecewise constant potentials  Error estimate  Perturbed initial data  Semiclassical limit  
A High Order Numerical Method for Computing Physical Observables in the Semiclassical Limit of the One-Dimensional Linear Schrodinger Equation with Discontinuous Potentials 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2010, 卷号: 42, 期号: 2, 页码: 318-344
作者:  Wen, Xin
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Semiclassical limit  Schrodinger equation  Liouville equation  Discontinuous potential  
HIGH ORDER NUMERICAL METHODS TO THREE DIMENSIONAL DELTA FUNCTION INTEGRALS IN LEVEL SET METHODS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 卷号: 32, 期号: 3, 页码: 1288-1309
作者:  Wen, Xin
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
delta function integral  high order numerical method  level set method  
CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS II: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 4, 页码: 474-483
作者:  Wen, Xin
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Binomial coefficient  Linear advection equations  Immersed interface upwind scheme  Piecewise constant coefficients  Error estimates  
High order numerical methods to two dimensional delta function integrals in level set methods 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 卷号: 228, 期号: 11, 页码: 4273-4290
作者:  Wen, Xin
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
Delta function integral  High order numerical method  Error estimate  Level set method  
THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS 期刊论文
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：94/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  Discontinuous potentials  l(1)-stability  Semiclassical limit  
Numerical solution to a linearized KdV equation on unbounded domain 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 卷号: 24, 期号: 2, 页码: 383-399
作者:  Zheng, Chunxiong;  Wen, Xin;  Han, Houde
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
absorbing boundary conditions  dual-Petrov-Galerkin method  linearized KdV equation  unbounded domains  
The l(1)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials 期刊论文
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：89/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  piecewise constant potentials  error estimate  half order error bound  semiclassical limit  
Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 1, 页码: 1-22
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
linear advection equations  immersed interface upwind scheme  piecewise constant coefficients  error estimate  half order error bound