Publication list (2007-2009)

Peter Binev:


  • Peter Binev, High Dimensional Learning via Sparse Occupancy Trees, Mathematisches Forschungsinstitut Oberwolfach, Report No.  30 (2008), to appear.
  • Peter Binev, Adaptive Methods and Near-Best Tree Approximation, Mathematisches Forschungsinstitut Oberwolfach, Report No.  29, (2007), 1669-1673.
  • P. Binev, A. Cohen, W. Dahmen,  and R. DeVore, Universal Piecewise Polynomial Estimators for Machine Learning, Curve and Surface Design: Avignon 2006, (P. Chenin et al., eds.,) Nashboro Press (2007), 48-77.
  • P. Binev, A. Cohen, W. Dahmen,  and R. DeVore, Universal algorithms for learning theory. Part II : piecewise polynomial functions, Constructive Approximation 26 (2007), 127-152.

Sophya Garashchuk:


  • Computational complexity in quantum chemistry, Rassolov VA, Garashchuk S, CHEMICAL PHYSICS LETTERS   Volume: 464   Issue: 4-6   Pages: 262-264 (2008) 
  • Stable long-time semiclassical description of zero-point energy in high-dimensional molecular systems Garashchuk S, Rassolov VA, JOURNAL OF CHEMICAL PHYSICS   Volume: 129   Issue: 2 Article  Number: 024109   (2008) 
  • Semiclassical nonadiabatic dynamics of NaFH with quantum trajectories, Garashchuk S, Rassolov VA, CHEMICAL PHYSICS LETTERS   Volume: 446   Issue: 4-6   Pages: 395-400   (2007)
  • Stabilization of quantum energy flows within the approximate quantum trajectory approach, Garashchuk S, Rassolov V, JOURNAL OF PHYSICAL CHEMISTRY A   Volume: 111   Issue: 41   Pages:  10251-10255   (2007) 
  • Computation of correlation functions and wave function projections in the context of quantum trajectory dynamics, Garashchuk S, JOURNAL OF CHEMICAL PHYSICS   Volume: 126   Issue: 15 Article, Number: 154104   (2007) 

Xiaoming He: 


  • Zhang, W. and He, X. "Encapsulation of living cells in small ( 100 µm) alginate microcapsules by electrostatic spraying: a parametric study", Journal of Biomechanical Engineering-Transactions of the ASME 2009: Accepted
  • He, X., Bhowmick, S., and Bischof, J. C. "Thermal therapy in urologic systems: a comparison of Arrhenius and thermal isoeffective dose (TID) models in predicting hyperthermic injury", Journal of Biomechanical Engineering-Transactions of the ASME, 2009: Accepted
  • He, X., Fowler, A., Menze, M., Hand, S., and Toner, M. "Desiccation kinetics and biothermodynamics of trehalose solutions in thin films: Implication for lyopreservation", Annals of Biomedical Engineering, 2008; 36(8): 1428-1439
  • He, X., Park, E., Fowler, A., Yarmush M., and Toner, M. "Vitrification by Ultra-fast Cooling at a Low Concentration of Cryoprotectants in a Quartz Microcapillary: A Study Using Murine Embryonic Stem Cells", Cryobiology, 2008: 56(3): 223-232
  • Risco, R., Elmoazzen, H., Doughty, M., He, X., and Toner, M. "Thermal performance of quartz capillaries for vitrification", Cryobiology 2007; 55(3): 222-229 

Andreas Heyden: 


  • "Solving the equations of motion for mixed atomistic and coarse-grained systems," J. H. Park, A. Heyden, submitted to Mol. Sim. (2009). (special issue on "Frontiers in Molecular Simulations")  
  • "Tight Binding-Configuration Interaction (TBCI): A Non-Iterative Approach to Incorporating Electrostatics into Tight Binding," M. A. Iron, A. Heyden, G. Staszewska, D. G. Truhlar, J. Chem. Theory Comp. 4, 804-818 (2008).  
  • "Conservative algorithm for an adaptive change of resolution in mixed atomistic / coarse-grained multiscale simulations," A. Heyden and D. G. Truhlar, J. Chem. Theory Comp. 4, 217-221 (2008). 
  • "Microkinetic modeling of nitrous oxide decomposition on binuclear oxygen bridged iron sites in Fe-ZSM-5," N. Hansen, A. Heyden, A. T. Bell, and F. J. Keil, J. Catal. 248, 213-225 (2007).
  • "Adaptive partitioning in combined quantum mechanical and molecular mechanical calculations of potential energy functions for Multiscale simulations," A. Heyden, H. Lin, and D. G. Truhlar, J. Phys. Chem. B 111, 2231-2241 (2007). 
  • "A reaction mechanism for the nitrous oxide decomposition on binuclear oxygen bridged iron sites in Fe-ZSM-5," N. Hansen, A. Heyden, A. T. Bell, and F. J. Keil, J. Phys. Chem. C 111, 2092-2101 (2007). 

Lili Ju:


  • ``Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation'', International Journal of Numerical Analysis and Modeling, Vol. 4, pp. 531-547, 2007.
  • ``Numerical simulations of the steady Navier-Stokes equations using adaptive meshing schemes'', International Journal for Numerical Methods in Fluids, Vol. 56, pp. 703-721, 2008; with H.-C. Lee and L. Tian.
  • ``Nondegeneracy and weak global convergence of the Lloyd algorithm in R^d'', SIAM Journal on Numerical Analysis, Vol. 46, pp. 1423-1441, 2008; with M. Emelianenko and A. Rand.
  • ``Convergence analysis of a splitting method for stochastic differential equations'', International Journal of Numerical Analysis and Modeling, Vol. 5, pp. 673-692, 2008; with W.D. Zhao and L. Tian.
  • ``Effects of director angle anchoring conditions on the dynamic moduli of heterogeneous nematic polymers", Proceedings of the XVth International Congress on Rheology, pp. 481-483, 2008; with E. Choate, M. Gorrest and Z. Cui.
  • ``A multi-resolution method for climate system modeling'', Ocean Dynamics, Vol. 58, pp. 475-498, 2008; with T. Ringler and M. Gunzburger.
  • ``Constrained CVT meshes and a comparison of triangular mesh generators'', Computational Geometry: Theory and Applications, Vol. 42, pp. 1-19, 2009; with H. Nguyen, J. Burkardt, M. Gunzburger and Yuki Saka.
  • ``A finite volume method on general surfaces and its error estimates'', Journal of Mathematical Analysis and Applications, Vol. 352, pp. 645-668, 2009; with Qiang Du.
  • ``A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces'', Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 716-726, 2009; with L. Tian and D. Wang.
  • ``Analysis of a mixed finite-volume discretization for fourth-order equations on general surfaces'', IMA Journal of Numerical Analysis, doi: 10.1093/imanum/drn021, 2008; with Q. Du and L. Tian.
  • ``Adaptive finite volume vethods for steady convection-diffusion equations with mesh optimization'', Discrete and Continuous Dynamical Systems B, to appear; with W. Wu and W.-D. Zhao. 

Xinfeng Liu


  • Q. Nie, F. Y.M. Wan, Y. T. Zhang, X. F. Liu. Compact integration factor methods in high spatial dimensions. Journal of Computational Physics, 277 (10), pp 5238-5255, 2008.
  • W. Bo, H. Jin, D. Kim, X. F. Liu, H. Lee, N. Pestieau, Y. Yu, J. Glimm, J. W. Grove. Comparison and validation of multi phase closure models. Computers and Mathematics with Applications, 56 (5), pp 1291-1302, 2008.
  • X. F. Liu, Y. H. Li, J. Glimm, X. L. Li. A front tracking algorithm for limited mass diffusion. Journal of Computational Physics, 222 (2), pp 644-653, 2007.
  • Z. L. Xu, J. Glimm, Y. M. Zhang, X. F. Liu. A multiscale front tracking method for compressible free surface flows. Chemical Engineering Science, 62 (13), pp 3538-3548, 2007.
  • X. F. Liu, E. George, W. Bo, J. Glimm. Turbulent mixing with physical mass diffusion. Physical Review E., 73, 056301, 2006.
  • E. George, J. Glimm, X. L. Li, Y. H. Li, X. F. Liu. Influence of scale-breaking phenomena on turbulent mixing rates. Physical Review E., 73, 016304, 2006.
  •  H. Jin, X. F. Liu, T. Lu, B. Cheng, J. Glimm, D. Sharp. Rayleigh-Taylor mixing rates for compressible flow. Physics of Fluids, 17, 024104, 2005.
  • X. F. Liu, M. X. Wang. The Critical Exponent of Doubly Singular Parabolic Equations. Journal of Mathematical Analysis and Applications, 257, pp 170-188, 2001.
  •  W. Bo, B. Cheng, J. Du, B. Fix, E. George, J. Glimm, J. Grove, X. Jia, H. Jin, H. Lee, Y. Li, X. F. Liu, D. H. Sharp, L. Wu, Y. Yu. Recent Progress in the Stochastic Analysis of Turbulent Mixing. Contemporary Mathematics, 429, 2007.

Yuriy Pershin: 


  • Yu. V. Pershin and M. Di Ventra, Spin memristive systems: Spin memory effects in semiconductor spintronics, Phys. Rev. B 78, 113309 (2008)
  • D. Branton, D. W. Deamer, A. Marziali, H. Bayley, S. A. Benner, T. Butler, M. Di Ventra, S. Garaj, A. Hibbs, X. Huang, S. B. Jovanovich, P. S. Krstic, S. Lindsay, X.S. Ling, C. H. Mastrangelo, A. Meller, J. S. Oliver, Yu. V. Pershin, J. M. Ramsey, R. Riehn, G. V. Soni, V. Tabard-Cossa, M. Wanunu, M. Wiggin and J. A. Schloss, The potential and challenges of nanopore sequencing,  Nature Biotechnology 26, 1146 (2008) 
  • Yu. V. Pershin, Y. Dubi and M. Di Ventra, Effective single-particle order-N scheme for the dynamics of open non-interacting many-body systems, Phys. Rev. B 78, 054302 (2008) 
  • Yu. V. Pershin and M. Di Ventra, Current-voltage characteristics of semiconductor/ferromagnet junctions in the spin blockade regime, Phys. Rev. B 77, 073301 (2008)
  • Yu. V. Pershin and M. Di Ventra, Voltage probe of the Spin Hall Effect, J. Phys.: Cond. Matter 20, 025204 (2008) 
  • N. Bushong, Yu. Pershin and M. Di Ventra, Turbulence-induced magnetic flux asymmetry at nanoscale junctions, Phys. Rev. Lett. 99, 226802 (2007) 
  • Yu. V. Pershin and M. Di Ventra, Spin blockade at semiconductor/ferromagnet junctions, Phys. Rev. B 75, 193301 (2007) 
  • Yu. V. Pershin, Optically-Induced Suppression of Spin Relaxation in Two-Dimensional Electron Systems with Rashba Interaction, Phys. Rev. B 75, 165320 (2007)
  • Yu. V. Pershin and C. Piermarocchi, Radiation-induced current in quantum wires with side-coupled nano-rings, Phys. Rev. B 75, 035326 (2007)

Vitaly Rassolov:


  • Bharathy, M (Bharathy, M.); Rassolov, VA (Rassolov, V. A.); Park, S (Park, S.); Loye, HCZ (Loye, H. -C. zur), Crystal Growth of Two New Photoluminescent Oxides: Sr3Li6Nb2O11 and Sr3Li6Ta2O11, INORGANIC CHEMISTRY, 47 (21): 9941-9945 NOV 3 2008 
  • Rassolov, VA (Rassolov, Vitaly A.); Garashchuk, S (Garashchuk, Sophya), Computational complexity in quantum chemistry, Source: CHEMICAL PHYSICS LETTERS, 464 (4-6): 262-264 OCT 23 2008 
  • Garashchuk, S (Garashchuk, Sophya); Rassolov, VA (Rassolov, Vitaly A.), Stable long-time semiclassical description of zero-point energy in high-dimensional molecular systems, Source: JOURNAL OF CHEMICAL PHYSICS, 129 (2): Art. No. 024109 JUL 14 2008 
  • Roof, IP (Roof, Irina P.); Park, S (Park, Sangmoon); Vogt, T (Vogt, Tom); Rassolov, V (Rassolov, Vitaly); Smith, MD (Smith, Mark D.); Omar, S (Omar, Shobit); Nino, J (Nino, Juan); zur Loye, HC (zur Loye, Hans-Conrad), Crystal growth of two new niobates, La2KNbO6 and Nd2KNbO6: Structural, dielectric, photophysical, and photocatalytic properties, CHEMISTRY OF MATERIALS, 20 (10): 3327-3335 MAY 27 2008 
  • Mayhall, NJ (Mayhall, Nicholas J.); Raghavachari, K (Raghavachari, Krishnan); Redfern, PC (Redfern, Paul C.); Curtiss, LA (Curtiss, Larry A.); Rassolov, V (Rassolov, Vitaly), Toward accurate thermochemical models for transition metals: G3Large basis sets for atoms Sc-Zn, JOURNAL OF CHEMICAL PHYSICS, 128 (14): Art. No. 144122 APR 14 2008 
  • Bharathy, M (Bharathy, M.); Rassolov, VA (Rassolov, V. A.); Loye, HCZ (Loye, H. -C. zur), Crystal growth of Sr3NaNbO6 and Sr3NaTaO6: New photoluminescent oxides, CHEMISTRY OF MATERIALS, 20 (6): 2268-2273 MAR 25 2008 
  • Garashchuk, S (Garashchuk, Sophya); Rassolov, VA (Rassolov, Vitaly A.), Semiclassical nonadiabatic dynamics of NaFH with quantum trajectories, CHEMICAL PHYSICS LETTERS, 446 (4-6): 395-400 OCT 4 2007 
  • Garashchuk, S (Garashchuk, Sophya); Rassolov, V (Rassolov, Vitaly), Stabilization of quantum energy flows within the approximate quantum trajectory approach, JOURNAL OF PHYSICAL CHEMISTRY A, 111 (41): 10251-10255 OCT 18 2007 
  • Rassolov, VA (Rassolov, Vitaly A.); Xu, F (Xu, Feng), Geminal model chemistry. IV. Variational and size consistent pure spin states, JOURNAL OF CHEMICAL PHYSICS, 127 (4): Art. No. 044104 JUL 28 2007 
  • Rassolov, VA (Rassolov, Vitaly A.); Xu, F (Xu, Feng), Geminal model chemistry III: Partial spin restriction, JOURNAL OF CHEMICAL PHYSICS, 126 (23): Art. No. 234112 JUN 21 2007

Hong Wang:


  • K. Wang, H. Wang, M. Al-Lawatia, and H. Rui, A family of characteristic discontinuous Galerkin methods for transient advection-diffusion equations and their optimal-order L2 error estimates,  Commun. Comput. Phys., 6:203-230, (2009).
  • H. Wang, An optimal-order error estimate for a family of ELLAM-MFEM approximations to porous medium flow, SIAM J. Numer. Anal., 46:2133--2152, 2008
  • H. Wang, Y. Ding, K. Wang, R.E. Ewing, Y.R. Efendiev, A multiscale Eulerian-Lagrangian localized adjoint method for transient advection-diffusion equations with oscillatory coefficients, Computing and Visualization in Science,
  • K. Wang and H. Wang, A Uniform Estimate for the ELLAM Scheme for Transport Equations, Numer. Methods for PDEs, 24:535--554, 2008
  • A Cheng and H. Wang, An error estimate on a Galerkin method for modeling heat and moisture transfer in fibrous insulation,  Numer. Methods for PDEs, 24:504--517, 2008
  • H. Wang and K. Wang, Uniform estimates for Eulerian-Lagrangian methods for singularly perturbed time-dependent problems, SIAM J. Numer. Anal., 45:1305--1329, 2007
  • K. Wang, H. Wang, and M. Al-Lawatia, An Eulerian-Lagrangian discontinuous Galerkin method for transient advection-diffusion equations, Numerical Methods for PDEs, 23:1343--1367, 2007 
  • D. Liang, C. Du, and H. Wang, A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking,  J. Comput. Phys., 221:198--225, 2007
  • Z. Wang, M. Al-Lawatia, and H. Wang, An Eulerian-Lagrangian method for option pricing in finance, Numerical Methods for PDEs 23:293--329, 2007
  • M. Al-Lawatia, K. Wang, A.S. Telyakovskiy, and H. Wang, An Eulerian-Lagrangian method for porous medium flow,  International J. Computing Science and Mathematics, 1:467--479, 2007
  • K. Wang and H. Wang, Optimal-Order Estimates to Eulerian-Lagrangian Methods for Degenerate Time-Dependent Convection-Diffusion Equations, International Journal of Numerical Analysis & Modeling, in press, 2009
  • K. Wang and H. Wang, A uniform estimate for the MMOC for two-dimensional advection-diffusion equations,   Numer. Methods for PDEs, in press, 2009
  • K. Wang, H. Wang, and M. Al-Lawatia, A CFL-free explicit characteristic interior penalty scheme for linear advection-reaction equations, Numer. Methods for PDEs, in press, 2009
  • H. Chen and H. Wang, An optimal-order error estimate on an H$^1$-Galerkin mixed method for a nonlinear parabolic equation in porous medium flow, Numer. Methods for PDEs, in press, 2009

Qi Wang:


  • A. Kataoka, B. C. W. Tanner, J. M. Macpherson, X. Xu, Q. Wang, M. Reginier, T. Daniel and  P. B. Chase, “Spatially explicit, nanomechanical models of the muscle half sarcomere: Implications for mechanical tuning in atrophy and fatigue,” Acta Astronautica, 60 (2) (2007), pp 111-118.  >
  • H. Zhou, H. Wang, Q. Wang, and M. G. Forest, “Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and excluded-volume potentials,” Nonlinearity, 20 (2007), 27-297.
  • M. G. Forest, Q. Wang, and R. Zhou,  “Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic,” J. Rheology, 51 (2007), pp. 1-21. ·M. G. Forest, R. Zhou, and Q. Wang, “Nano-rod suspension flows:  a 2D Smoluchowski-Navier-Stokes solver”, International Journal of Numerical Analysis and modeling, 4 (3-4) (2007), pp. 478-488.
  • H. Zhou, H. Wang, and Q. Wang, “Nonparallel solutions of extended nematic polymers under an external field,” Discrete and Continuous Dynamical Systems-Series B, 7 (4) (2007), pp. 907-929. 
  • H.  Zhou, M. G. forest, and Q. Wang, “Anchoring-induced texture & flow feedback of nematic polymers in shear cells,” to appear Discrete Dynamical Systems Series B, 8 (3) (2007), pp. 707-733. M. G. Forest, R. Zhou, and Q. Wang, “Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos,” Siam Journal on Multiscale Modeling and Simulation, MMS, 6 (3) (2007), pp. 858-878. 
  • G Ji, Q. Wang, P. Zhang, H. Wang, and H. Zhou, “Steady states of homogeneous, rigid, extended nematic polymers under imposed magnetic fields and their stability,”  Communication in Mathematical Sciences, 5(4) (2007), pp. 917-950.
  • T. Y. Zhang, N. Cogan, and Q. Wang, “Phase Field Models for Biofilms. II. 2-D Numerical Simulations of Biofilm-Flow Interaction,” Communications in Computational Physics, 4 (2008), pp. 72-101.
  • Xiaofeng Yang, Zhenlu Cui, M. G. Forest, Qi Wang, and Ruhai Zhou, Dimensional Robustness & Instability of Sheared Semi-dilute, Nano-rod Dispersions,  Siam Journal on Multiscale Modeling and Simulation, 7 (2008), 622-654.
  • T. Y. Zhang, N. Cogan, and Q. Wang, “Phase Field Models for Biofilms. I. Theory and 1-D simulations,” Siam Journal on Applied Math, 69 (3) (2008), 641-669.
  • J. Lee, M. G. Forest, Q. Wang, and R. Zhou, “Dipole-induced bi-stability and hysteresis in nanorod monolayers,” Physics Letters A, 372 (2008), 3484-3487. 
  • Sarthok Sircar and Qi Wang, Shear induced mesostructures in biaxial liquid crystal polymers, Phys. Rev. E.,,  78 (2008), 061702.
  • X. Yang, M. G. Forest, W. Mullins and Q. Wang, Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions, J. of Rheologyto appear 2009.
  • Qingqing Liao, M. G. Forest, and Qi Wang, “2-D Kinetic Theory for Polymer Particulate Nanocomposites,” Communication in Computational Physics, to appear 2009.
  • X. Yang, M. G. Forest, Q. Wang, W. Mullins, Quench sensitivity to defects and shear banding in nematic polymer film flows, Journal. Non-Newtonain Fluid Mechanics, to appear 2009.
  • Jun Li, Sarthok Sircar, and Qi Wang, A Note on the Kinematics of Rigid Molecules in Linear Flow Fields and Kinetic Theory for Biaxial Liquid Crystal Polymers, Electronic-Liquid Crystal Communications, 2009.
  • Q. Wang, “Introduction to Constitutive Modeling of Macromolecular,” DYNAMICS IN MODELS OF COARSENING, COAGULATION, CONDENSATION AND QUANTIZATION, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, edited by W. Bao and J. Liu, World Scientific, Singapore, 2007.
  • Q. Wang, “Introduction to kinetic theory for complex fluids”, in a book on Complex Fluids, in the Contemporary Applied Mathematics (CAM) series, edited by P. G. Ciarlet and Tatsien Li, Higher Education Press and World Scientific, 2008.

Xiaofeng Yang


  • X. Yang, M. G. Forest, W. Mullins and Q. Wang, 2-D lid-driven cavity flow of nematic polymers: an unsteady sea of defects, Soft Matter, to appear, 2009.
  • X. Yang, M. G. Forest, W. Mullins and Q. Wang, Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions, J. Rheology, 53(3): 589-615, 2009.
  • X. Yang, M. G. Forest, W. Mullins and Q. Wang, Quench sensitivity to defects and shear banding in nematic polymer film flows, J. Non-Newtonian Fluid Mech., 159:115–129, 2009.
  • J. Shen and X. Yang, An efficient moving mesh spectral method for the phase-field model of two-phase flows, J. Comput. Phys., 228: 2978–2992, 2009.
  • X. Yang, Error analysis of Stabilized Semi-implicit method of Allen-Cahn Equation, Disc. Conti. Dyn. Sys.-B, 11(4):1057-1070, 2009.
  • M. G. Forest, S. Heidenreich, S. Hess, X. Yang and R. Zhou, Robustness of pulsating jet-like layers in sheared nano-rod dispersions, J. Non-Newtonian Fluid Mech., 155:130-145, 2008.
  • X. Yang, Z. Cui, M. G. Forest, Q. Wang and J. Shen, Dimensional Robustness & Instability of Sheared, Semi-Dilute, Nano-Rod Dispersions, SIAM Multi. Model. Simul., 7:622-654, 2008.
  • J. L. Guermond, J. Shen and X. Yang, Error analysis of fully discrete velocity-correction methods for incompressible flows, Math. Comp., 77:1387-1405, 2008.
  • C. Liu, J. Shen and X. Yang, Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation, Comm. Comput. Phys., 2:1184-1198, 2007.
  • J. Shen and X. Yang, Error estimates for finite element approximations of consistent splitting schemes for incompressible flows, Disc. Conti. Dyn. Sys.-B, 8:663-676, 2007.