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| 1 | Advances in Studies and Applications of Centroidal Voronoi Tessellations显示文摘Centroidal Voronoi tessellations(CVTs) have become a useful tool in many applications ranging from geometric modeling,image and data analysis,and numerical partial differential equations,to problems in physics,astrophysics,chemistry,and biology. In this paper,we briefly review the CVT concept and a few of its generalizations and well-known properties.We then present an overview of recent advances in both mathematical and computational studies and in practical applications of CVTs.Whenever possible,we point out some outstanding issues that still need investigating. | Qiang Du Max Gunzburger Lili Ju | 2010 | Numerical Mathematics(Theory,Methods and Applications)2010，3，2： | 6 |
| 2 | A model for superconducting thin films having variable thickness显示文摘 | Du Q Gunzburger M | 1993 | Physica D1993，69，： | 2 |
| 3 | A SPARSE-GRID METHOD FOR MULTI-DIMENSIONAL BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS显示文摘为基于一个多步时间 discretization 计划解决多维的向后的随机的微分方程(BSDE ) 的一个稀少格子的方法[31 ] 被介绍。在多维的空间域,即 Brownian 空间,从原来的方程导出的有条件的数学期望用稀少格子的 Gauss-Hermite 照统治被接近并且(适应) 层次稀少格子的插值。错误估计与简化发电机功能的某些类型为多维的 BSDE 为建议充分分离的计划被证明。最后,几个数字例子被提供说明我们的计划的精确性和效率。[从作者抽象] | Guannan Zhang Max Gunzburger Weidong Zhao | 2013 | Journal of Computational Mathematics2013，31，3： | 2 |
| 4 | Centroidal Voronoi Tessellation-based Reduce-order Modeling of Complex Systems显示文摘 | Burkardt J Gunzburger M | 2006 | SIAM J on Scientific Computing2006，28，2： | 1 |
| 5 | Viruses and human breast cancer显示文摘 | LawsonJS Gunzburg WH Whitaker NJ | 2007 | Furore Microbiol2007，1，1： | 1 |
| 6 | Spine arthroplasty: a historical review 显示文摘 | Szpalski M Gunzburg R Mayer M | 2002 | Eur Spine2002，11，2： | 1 |
| 7 | Centroidal Voronoi Teesellations:Applications and Algorithms显示文摘 | Faber V Gunzburger M | 1999 | SIAM Review1999，41，4： | 1 |
| 8 | Global existenceof weak solutions for viscous incompresible ows around a moving rigid body in three dimensions显示文摘 | GUNZBURGER M LEE C-H GREGORY A S | 2000 | J Math Fluid Mech2000，2，3： | 1 |
| 9 | Recombinant human bone morphogenetic protein-2: a novel osteoinductive alternative to autogenous bone graft? 显示文摘 | Szpalski M Gunzburg R | 2005 | ActaOrthopBelg2005，71，2： | 1 |
| 10 | On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods显示文摘 | Gottlieb D Gunzburger M Turkel E | 1982 | SIAM J Numer Anal1982，19，4： | 1 |
| 11 | Identification of enteropathogenie Escherichia coli by PCR-Based Detection of the BundleForming Pilus Gene 显示文摘 | Gunzburg ST Tomieporth NG Riley LW | 1995 | J Clin Microbiol1995，5，： | 1 |
| 12 | Centroidal voronoi tessellations,theory,applications and algorithms显示文摘 | Du Q Faber V Gunzburger M | 1999 | SIAM Review1999，41，4： | 1 |
| 13 | Expression of antimicrobial peptides has an antitumour effect in human cells 显示文摘 | Gunzburg WH Erfle V | 1998 | Biochem Biophys Res Commun1998，242，3： | 1 |
| 14 | Grid generation and optimization based on centroidal Voronoi tessellations 显示文摘 | DU Qiang GUNZBURGER M | 2002 | Applied Mathematics and Computation2002，133，23： | 1 |
| 15 | The binding of TIA-1 to RNA C-rich sequences is driven by its C-terminal RRM domain显示文摘 | Cruz-Gallardo I Aroca Gunzburg MJ | 2014 | RNA Biol2014，11，6： | 1 |
| 16 | Comparison of pure and 'latinized' centroidal voronoi tessellation against various other statistical sampling methods显示文摘 | ROMERO V BURKARDT J GUNZBURGER M | 2006 | Reliability Engineering and System Safety2006，91，1011： | 1 |
| 17 | Aecuary of least squares methods for the Navier Stokes equations显示文摘 | Bochev P B Gunzburger M D | 1993 | Comput Fluid1993，22，54： | 1 |
| 18 | A predictive model for outcome after conservative decompression surgery for lumbar spinal stenosis显示文摘 | K. F. Spratt T. S. Keller M. Szpalski K. Vandeputte R. Gunzburg | 2004 | European Spine Journal2004，，1： | 1 |
| 19 | Lumbar spinal stenosis in the elderly:an overview显示文摘 | Gunzburg R | 2003 | Eur Spine J2003，12，2： | 1 |
| 20 | The conservative surgical treatment of lum- bar spinal stenosis in the elderly 显示文摘 | Gunzburg R Szpalski M | 2003 | Eur Spine J2003，2，： | 1 |
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