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Publications:
1. Uncertainty Quantification for Chaotic Computational Fluid Dynamics (Y. Yu, M. Zhao, T. Lee, N. Pestieau, W. Bo, J. Glimm, J. W. Grove, Submitted to J. Comp. Phys, August 2005) (PDF)
2. Recent
Progress in the Stochastic Analysis of Turbulent Mixing (W. Bo, B. Cheng, J. Du,
B. Fix, E. George, J. GLimm, J. W. Grove, X. Jia, H. Jin, H. Lee, Y. Li, X. Li,
X. Liu, L. Wu, Y. Yu, Submitted to Contemporary Mathematics, September 2005) (PDF)
3. A Multiphase Flow Model for the Unstable Mixing of Layered Materials (B. Cheng,
J. Glimm, D. Sharp, Y. Yu, Physics of Fluids,
vol. 17, issue 8
(2005), Jan 2005) (PDF)
4. Errors in Numerical Solutions of Shock Physics Problems (Y. Yu, PhD thesis, SUNY at Stony Brook, December 2004) (PDF)
5. Error
Analysis of Composite Shock Interaction Problems (Y. Yu, T. Lee, M. Zhao, J. Glimm, X. Li, K. Ye, Proceeding of PMC 2004,
6. Shock Wave Interactions in Spherical and Perturbed Spherical Geometries (S. Dutta, E. George, J. Glimm, T. Lee, Y. Yu, M. Zhao, Nonlinear Analysis, 63(2005), pp. 644-652, June 2004) (PDF)
7. Errors in numerical solutions of spherically symmetric shock physics problem (J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, M. Zhao, Contemporary Mathematics, 371(2005), pp. 167-179, December 2003) (PDF)
8. Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems (J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, M. Zhao, SISC special issue on Uncertainty Quantification, 26(2004), pp. 666-697, Los Alamos National Laboratory number LA-UR-03-2921, August 2003) (PDF)
9. Numerical Simulation Methods to Richtmyer-Mehskov Instabilities (Y. Yu, N. Zhao, W. Tang, Mathematica Numerica Sinica, Vol. 24, No.1(2002), pp. 76-90, November 2001) (PDF)