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Welcome to Xin Wen's Homepage
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visitor since Aug. 2005













RESEARCH INTERESTS
PAPERS
  1. X. Wen, The L^1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials and perturbed initial data, J. Comput. Math., to appear.
  1. X. Wen, High order numerical methods to three dimensional delta function integrals in level set methods, SIAM J. Sci. Comput. 32(3), 1288-1309, 2010.
  1. X. Wen, A high order numerical method for computing physical observables in the semiclassical limit of the one dimensional linear Schrödinger equation with discontinuous potentials, J. Sci. Comput. 42(2), 318-344, 2010.
  1. X. Wen, Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients II: Some related binomial coefficient inequalities, J. Comput. Math. 27(4), 474-483, 2009.
  1. X. Wen, High order numerical methods to two dimensional delta function integrals in level set methods, J. Comput. Phys. 228(11), 4273-4290, 2009.
  1. X. Wen and S. Jin, The l^1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials, J. Comput. Math. 27, 45-67, 2009.
  1. X. Wen and S. Jin, The l^1-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials, SIAM J. Numer. Anal. 46(5), 2688-2714, 2008.
  1. X. Wen, High order numerical quadratures to one dimensional delta function integrals, SIAM J. Sci. Comput. 30(4), 1825-1846, 2008.
  1. C. Zheng, X. Wen and H. Han, Numerical solution to a linearized KdV equation on unbounded domain, Numer. Methods Partial Differential Equations 24(2), 383-399, 2008.
  1. X. Wen and S. Jin, Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L^1-error estimates, J. Comput. Math. 26(1), 1-22, 2008.
  1. X. Wen, High order numerical methods to a type of delta function integrals, J. Comput. Phys. 226, 1952-1967, 2007.
  1. S. Jin and X. Wen, A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections, SIAM J. Numer. Anal. 44, 1801-1828, 2006.
  1. S. Jin and X. Wen, Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation, Wave Motion 43(8), 667-688, 2006.
  1. X. Wen, A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations, J. Comput. Phys. 219, 322-390, 2006.
  1. S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, J. Comput. Phys. 214, 672-697, 2006.
  1. S. Jin and X. Wen, Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Commun. Math. Sci. 3, 285-315, 2005.
  1. S. Jin and X. Wen, Two interface type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations, SIAM J. Sci. Comput. 26, 2079-2101, 2005.
  1. H. Han and X. Wen, The global artificial boundary conditions for numerical simulations of the flow around a submerged body, Comput. Math. Appl. 50, 1499-1512, 2005.
  1. H. Han and X. Wen, The artificial boundary conditions for numerical simulations of the complex amplitude in a coupled bay-river system, J. Comput. Math. 22(3), 407-426, 2004.
  1. S. Jin and X. Wen, An efficient method for computing hyperbolic systems with geometrical source terms having concentrations, J. Comput. Math. 22, 230-249, 2004.
  1. X. Wen and H. Han, The artificial boundary method for calculating the ship wave resistance, Tsinghua Sci. Technol. 8(5), 526-532, Oct 2003.
  1. H. Han and X. Wen, The global artificial boundary conditions for numerical simulations of the 3D flow around a submerged body, J. Comput. Math. 21(4), 435-450, 2003.
  1. H. Han and X. Wen, The local artificial boundary conditions for numerical simulations of the flow around a submerged body, J. Sci. Comput. 16(3), 263-286, 2001.
  1. W. Bao and X. Wen, The artificial boundary conditions for computing the flow around a submerged body, Comput. Methods Appl. Mech. Engrg. 188(1-3), 473-482, 2000.
CONFERENCES
  1. 13th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Beijing, China, June 15-19, 2010.
  2. SIAM Conference on Mathematics for Industry: Challenges and Frontiers, San Francisco, USA, October 9-10, 2009.
  3. SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, USA, October 5-8, 2009.
  4. Workshop on Frontiers in Computational and Applied Mathematics, Beijing, China, August 9-10, 2009.
  5. The 11th Chinese Computational Mathematics Annual Meeting, Guiyang, China, July 20-23, 2009.
  6. 12th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, College Park, USA, June 9-13, 2008.
  7. Frontiers in Computational and Applied Mathematics, Beijing, China, August 4-5, 2007.
  8. Workshop on High Frequency Wave Computation, Vienna, Austria, February 20-March 2, 2007.
  9. High Performance Scientific Computation Research Group Meeting, Suzhou, China, September 23-26, 2006.
  10. Workshop on Scientific Computing, Beijing, China, July 13-14, 2006.
  11. 2006 International Conference on Applied Mathematics and Interdisciplinary Research-Nankai, Tianjin, China, June 12-15, 2006.
  12. The 7th Chinese Computational Mathematics Society Annual Meeting, Nanjin, China, October 19-23, 2003.
  13. ICM2002-Beijing Satellite Conference on Scientific Computing, Xi'an, China, August 15-18, 2002.
GRANTS
  1. Principal Investigator, Knowledge Innovation Project of the Chinese Academy of Sciences
    since 2005.
  2. Principal Investigator, National Science Foundation of China, (Grant No. 10601062)
    Novel Efficient Numerical Methods for High Frequency Wave Propagation through Heterogeneous Media
    2007-2009.
  3. National Basic Research Program of China, (Grant No. 2009CB731505)
    Prediction Theories and Numerical Analysis Methods for Heavy Engineering Geological Disasters
    2010-2014.
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