- FOURIER SPECTRAL APPROXIMATION TO A DISSIPATIVE SYSTEM MODELING THE FLOW OF LIQUID CRYSTALS
- Computers Math. Applic. Vol. 27, No. 12, pp. 119-133, 1994 Copyright@1994 Elsevier Science Ltd
- INTERNATIONAL JOURNAL OF c 2005 Institute for Scientific NUMERICAL ANALYSIS AND MODELING Computing and Information
- COMMUNICATIONS ON Website: http://AIMsciences.org PURE AND APPLIED ANALYSIS
- Numer. Math. (1999) 81: 539560 c Springer-Verlag 1999
- Centroidal Voronoi tessellation based proper orthogonal decompositon analysis
- Comput. Math. Applic. Vol. 15, No. 6--8, pp. 447-457, 1988 0097-4943/88 $3.00+0.00 Printed in Great Britain. All fights reserved Copyright 1988 Pergamon Press pie
- Digital Object Identifier (DOI) 10.1007/s00205-010-0327-5 Arch. Rational Mech. Anal.
- Journal of Mathematical Analysis and Applications 266, 357382 (2002) doi:10.1006/jmaa.2001.7738, available online at http://www.idealibrary.com on
- Numer. Math. Theor. Meth. Appl. Vol. 2, No. x, pp. 1-25 doi: 10.4208/nmtma.2009.m8016 xxx 2009
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- Journal of Computational Mathematics, Vol.22, No.3, 2004, ????. Analysis of a Mixed Finite Element Method for a Phase Field
- COMMUN. MATH. SCI. c 2009 International Press Vol. 7, No. 4, pp. 10391051
- SIAM REVIEW Vol. 34, No. 1, pp. 54-81, March 1992
- NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. 2006; 13:173192
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- Diverse Vortex Dynamics in Superfluids Abstract. The appearance of quantized vortices is a typical signature of su-
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- FINITE ELEMENT METHODS WITH MATCHING AND NONMATCHING MESHES FOR MAXWELL EQUATIONS WITH
- Numerical simulations of the quantized vortices on a thin superconducting hollow sphere q
- J. KSIAM Vol.13, No.2, 141159, 2009 ADAPTIVE CVT-BASED REDUCED-ORDER MODELING OF BURGERS
- DISCRETE AND CONTINUOUS doi:10.3934/dcds.2011.29.1443 DYNAMICAL SYSTEMS
- INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2003; 56:13551373 (DOI: 10.1002/nme.616)
- NUMERICAL COMPUTATION OF QUANTIZED VORTICES IN THE BOSE-EINSTEIN CONDENSATE
- Journal of Computational Mathematics, Vol.22, No.3, 2004, ????. Analysis of a Mixed Finite Element Method for a Phase Field
- OPTIMIZATION BASED NONOVERLAPPING DOMAIN DECOMPOSITION ALGORITHMS AND THEIR CONVERGENCE
- Science in China Series A: Mathematics Aug., 2008, Vol. 51, No. 8, 14151439
- Journal of Computational and Applied Mathematics 195 (2006) 823 www.elsevier.com/locate/cam
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- Physica D 163 (2002) 94105 The bifurcation diagrams for the GinzburgLandau
- EFFICIENT PARALLEL ALGORITHMS FOR PARABOLIC Q. DU, M. MU, AND Z. N. WU
- MATHEMATICS OF COMPUTATION Volume 74, Number 251, Pages 12571280
- IMA Journal of Numerical Analysis (2009) 29, 376403 doi:10.1093/imanum/drn021
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- Centroidal Voronoi tessellation based algorithms for vector fields visualization and segmentation
- COMM. MATH. SCI. c 2009 International Press Vol. 7, No. 2, pp. 511-520
- Boundary recovery for three dimensional conforming Delaunay triangulation q
- A new algorithm for the automation of phase diagram calculation
- Finite element approximation of a periodic Ginzburg-Landau model for type-II sup...
- (X)MFUTATIONAL AND APPLIEDNLATH~TIC$
- INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2004; 00:01 Prepared using nmeauth.cls [Version: 2000/01/19 v2.0]
- SIAM J. NUMER. ANAL. Vol. 27, No. 1, pp. 1-19, February 1990
- NUMERICAL APPROXIMATION OF SOME LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS DRIVEN BY SPECIAL
- Recent Progress in Robust and Quality Delaunay Mesh Generation (to appear in Journal of Computational and Applied Mathematics)
- Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime
- ANALYSIS AND CONVERGENCE OF A COVOLUME APPROXIMATION OF THE GINZBURGLANDAU MODEL
- J. Math. Biol. DOI 10.1007/s00285-007-0118-2 Mathematical Biology
- NUMERICAL ALGORITHMS OF THE LAWRENCEDONIACH MODEL FOR LAYERED SUPERCONDUCTORS AND THEIR
- Burkardt et al. NA03 Dundee 2003 Reduced order modeling of complex systems
- MATHEMATICS OF COMPUTATION Volume 67, Number 223, July 1998, Pages 965986
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- DISCRETE AND CONTINUOUS doi:10.3934/dcdsb.2011.15.373 DYNAMICAL SYSTEMS SERIES B
- Adaptive algorithms for phase field models of some interface problems Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA.
- Mathematical Modelling and Numerical Analysis M2AN, Vol. 34, No 3, 2000, pp. 687706 Modelisation Mathematique et Analyse Numerique
- FROM MICRO TO MACRO DYNAMICS VIA A NEW CLOSURE APPROXIMATION TO
- Dissipative Flow and Vortex Shedding in the Painleve Boundary Layer of a Bose-Einstein Condensate
- Acta Mathematica Sinica, English Series Mar., 2006, Vol. 22, No. 2, pp. 469476
- DOI 10.1007/s10820-005-3173-2 Journal of Computer-Aided Materials Design (2004) 11: 183199 Springer 2005
- CONVERGENCE ANALYSIS OF A NUMERICAL METHOD FOR A MEAN FIELD MODEL OF SUPERCONDUCTING VORTICES
- Journal of Computational Physics 181, 4567 (2002) doi:10.1006/jcph.2002.7128
- COMMUNICATIONS ON Website: http://AIMsciences.org PURE AND APPLIED ANALYSIS
- PLEASE SCROLL DOWN FOR ARTICLE This article was downloaded by: [German National Licence 2007]
- www.worldscientific.com 8212 hc ISSN: 17930758
- Physica D 69 (1993) 215-231 North-Holland
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 155, 2145 (1991) Analysis of a Ladyzhenskaya Model
- ANALYSIS AND APPROXIMATION OF NONLOCAL DIFFUSION PROBLEMS WITH VOLUME CONSTRAINTS
- COMMUN. MATH. SCI. c 2007 International Press Vol. 5, No. 1, pp. 233242
- Numerical approximations of the GinzburgLandau models for superconductivity
- Journal of Atmospheric and Solar-Terrestrial Physics 67 (2005) 325335 A preliminary investigation of the pseudo-spectral method
- INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 18 (2005) 12491267 doi:10.1088/0951-7715/18/3/016
- J Math Imaging Vis 24: 177194, 2006 c 2006 Springer Science + Business Media, Inc. Manufactured in The Netherlands.
- Adhesion of multicomponent vesicle membranes Yanxiang Zhao*
- Nonlinear Analysis, Theory, Merhods & Appl;c,mons, Vol. 19, No. 4, pp. 291-308, 1992 Printed in Great Britain.
- Commun. Comput. Phys. doi: 10.4208/cicp.2009.09.099
- Z angew Math Phys 47 (1996) 0044-2275/96/030410 22 $ 1.50 + 0.20 (ZAMP) 9 1996 Birkh/iuser Verlag, Basel
- Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere q
- Archive for Rational Mechanics and Analysis manuscript No. (will be inserted by the editor)
- Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem
- DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
- Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions q
- MULTISCALE MODEL. SIMUL. c 2005 Society for Industrial and Applied Mathematics Vol. 4, No. 3, pp. 709731
- BIT Numerical Mathematics (2005) 45: 307328 c Springer 2005 DOI: 10.1007/s10543-005-7141-8
- Ideal Point Distributions, Best Mode Selections and Optimal Spatial Partitions via Centroidal Voronoi Tessellations
- SEMIDISCRETE FINITE ELEMENT APPROXIMATIONS OF A LINEAR FLUID-STRUCTURE INTERACTION PROBLEM
- SIAM J. APPL. MATH. Vol. 56, No. 4, pp. 1060-1093, August 1996
- SIAM J. APPL. MATH. Vol. 55, No. 1, pp. 156-174, February 1995
- Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws Gui-Qiang Chen; Qiang Du; Eitan Tadmor
- SIAM J. NUMER. ANAL. Vol. 28, No. 5, pp. 1310-1322, October 1991
- Adhesion of vesicles to curved substrates Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, USA
- Stochastic dynamics of Ginzburg-Landau vortices in superconductors Jennifer Deang*
- Vortices in superconductors: modelling and computer simulations
- High Order Approximation of the Frobenius-Perron Operator
- A GRADIENT METHOD APPROACH TO OPTIMIZATION-BASED MULTIDISCIPLINARY SIMULATIONS AND NONOVERLAPPING
- Grid generation and optimization based on centroidal Voronoi tessellations q
- DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMS
- Meshfree, probabilistic determination of point sets and support regions for meshless computing
- CONSTRAINED CENTROIDAL VORONOI TESSELLATIONS FOR SURFACES
- Numer. Math. Theor. Meth. Appl. Vol. 3, No. 2, pp. 119-142 doi: 10.4208/nmtma.2010.32s.1 May 2010
- SIAM J. APPL. MATH. Vol. 53, No. 3, pp. 689-717, June 1993
- SIAM J. APPL. MATH. c 2005 Society for Industrial and Applied Mathematics Vol. 65, No. 6, pp. 19131932
- Proceedings of FEDSM'02 2002 ASME Fluids Engineering Division Summer Meeting
- Phase-field modeling and simulations of multicomponent cell membranes Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA.
- STUDIES OF A GINZBURGLANDAU MODEL FOR d-WAVE SUPERCONDUCTORS
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2008 Society for Industrial and Applied Mathematics
- Tessellation and Clustering by Mixture Models and Their Parallel Implementations
- NUMERICAL SOLUTION OF THE THREE-DIMENSIONAL GINZBURGLANDAU MODELS USING ARTIFICIAL BOUNDARY
- INTERNATIONAL JOURNAL OF c 2007 Institute for Scientific NUMERICAL ANALYSIS AND MODELING Computing and Information
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- Letters in Mathematical Physics 29: 133-150, 1993. 133 1993 Kluwer Academic Publishers. Printed in the Netherlands.
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- ESAIM: M2AN 45 (2011) 217234 ESAIM: Mathematical Modelling and Numerical Analysis DOI: 10.1051/m2an/2010040 www.esaim-m2an.org
- Kinetic and Related Models Website: http://aimSciences.org c American Institute of Mathematical Sciences
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- Retrieving topological information from the phase-field description of geometric evolution
- PLEASE SCROLL DOWN FOR ARTICLE This article was downloaded by: [Du, Qiang]
- A phase field model for vesiclesubstrate adhesion q Jian Zhang, Sovan Das, Qiang Du *
- Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
- An Iniemational Journal computers &
- An Intemalional Journal Available online at www.sciencedirect.com computers &
- SIAM REVIEW c 1999 Society for Industrial and Applied Mathematics Vol. 41, No. 4, pp. 637676
- MATHEMATICS OF COMPUTATION Volume 66, Number 217, January 1997, Pages 345361
- Journal of Computational Mathematics, Vol.22, No.2, 2004, ????. STABILITY ANALYSIS AND APPLICATION OF THE
- AN APPROACH TO NONLOCAL, NONLINEAR ADVECTION QIANG DU, JAMES R. KAMM, R.B. LEHOUCQ, AND MICHAEL L. PARKS
- SIAM J. NUMER. ANAL. c 2006 Society for Industrial and Applied Mathematics Vol. 44, No. 1, pp. 102119
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes q
- Numer. Math. Theor. Meth. Appl. Vol. 3, No. 2, pp. i-i Voronoi tessellations have a long history, probably because they often appear in nature
- Quantized vortices in BEC and superconductors Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA.
- SIAM J. ScI. COMPUT. Vol. 17, No. 6, pp. 1347-1368, November 1996
- SIAM J. NUMER. ANAL. c 2005 Society for Industrial and Applied Mathematics Vol. 43, No. 4, pp. 16731692
- Commun. Comput. Phys. doi: 10.4208/cicp.030210.051110a
- Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2010 Society for Industrial and Applied Mathematics
- Euro. Jnl of Applied Mathematics (1999), vol. 10, pp. 125. Printed in the United Kingdom c 1999 Cambridge University Press
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- PHYSICAL REVIEW E 84, 011903 (2011) Diffuse interface model of multicomponent vesicle adhesion and fusion
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