Publications


1. Chen, H. & Wang, H.  (2009, In Press).  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.

2. He, X., Bhowmick, S. & Bischof, J. C.  (2009, Accepted).  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.

3. Ju, L., Wu, W. & Zhao, W.-D.  (To Appear).  Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization.  Discrete and Continuous Dynamical Systems B.

4. Ju, L., Nguyen, H., Burkardt, J., Gunzburger, M. & Saka, Y.  (2009).  Constrained CVT meshes and a comparison of triangular mesh generators.  Computational Geometry: Theory and Applications, 42, 1-19, 2009.

5. Ju, L. & Du, Q.  (2009).  A finite volume method on general surfaces and its error estimates.  Journal of Mathematical Analysis and Applications, 352, 645-668.

6. Ju, L., Tian, L. & Wang, D.  (2009).  A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces.  Computer Methods in Applied Mechanics and Engineering, 198, 716-726.

7. Li, J., Sircar, S. & Wang, Q.  (2009).  A Note on the Kinematics of Rigid Molecules in Linear Flow Fields and Kinetic Theory for Biaxial Liquid Crystal Polymers.  Electronic-Liquid Crystal Communications.

8. Liao, Q., Forest, M. G. & Wang, Q.  (2009, To Appear).  2-D Kinetic Theory for Polymer Particulate Nanocomposites.  Communication in Computational Physics.

9. Park, J. H. & Heyden, A.  (2009, Submitted).  Solving the equations of motion for mixed atomistic and coarse-grained systems.  Mol. Sim.  (special issue on "Frontiers in Molecular Simulations").

10. Wang, K., Wang, H., Al-Lawatia, M. & Rui, H.  (2009).  A family of characteristic discontinuous Galerkin methods for transient advection-diffusion equations and their optimal-order $L^2$ error estimates.  Commun. Comput. Phys., 6, 203-230.

11. Wang, K. & Wang, H.  (2009, In Press).  A uniform estimate for the MMOC for two-dimensional advection-diffusion equations.  Numer. Methods for PDEs.

12. Wang, K., Wang, H. & Al-Lawatia, M.  (2009, In Press).  A CFL-free explicit characteristic interior penalty scheme for linear advection-reaction equations.  Numer. Methods for PDEs.

13. Wang, K. & Wang, H.  (2009, In Press).  Optimal-Order Estimates to Eulerian-Lagrangian Methods for Degenerate Time-Dependent Convection-Diffusion Equations.  International Journal of Numerical Analysis & Modeling.

14. Yang, X., Forest, M. G., Wang, Q., Mullins, W.  (2009, To Appear).  Quench sensitivity to defects and shear banding in nematic polymer film flows.  J. Non-Newtonain Fluid Mechanics.

15. Zhang, W. & He, X.  (2009, Accepted).  Encapsulation of living cells in small (100 µm) alginate microcapsules by electrostatic spraying: a parametric study.  Journal of Biomechanical Engineering-Transactions of the ASME.

16. Bharathy, M., Rassolov, V. A., Park, S. & zur Loye, H.-C.  (2008, Nov).  Crystal Growth of Two New Photoluminescent Oxides: Sr3Li6Nb2O11 and Sr3Li6Ta2O11.  Inorganic Chemistry, 47(21), 9941-9945.

17. Bharathy, M., Rassolov, V. A., zur Loye, H.-C. Z.  (2008, Mar).  Crystal growth of Sr3NaNbO6 and Sr3NaTaO6: New photoluminescent oxides.  Chemistry of Materials, 20(6), 2268-2273.

18. Binev, P.  (2008, to appear).  High Dimensional Learning via Sparse Occupancy Trees.  Mathematisches Forschungsinstitut Oberwolfach, Report No. 30.

19. Branton, D., Deamer, D. W., Marziali, A., Bayley, H., Benner, S. A., Butler, T., Di Ventra, M., Garaj, S., Hibbs, A., Huang, X., Jovanovich, S. B., Krstic, P. S., Lindsay, S., Ling, X.S., Mastrangelo, C. H., Meller, A., Oliver, J. S., Pershin, Y. V., Ramsey, J. M., Riehn, R., Soni, G. V., Tabard-Cossa, V., Wanunu, M., Wiggin, M. & Schloss, J. A.  (2008).  The potential and challenges of nanopore sequencing.  Nature Biotechnology, 26, 1146.

20. Cheng, A. & Wang, H.  (2008).  An error estimate on a Galerkin method for modeling heat and moisture transfer in fibrous insulation.  Numer. Methods for PDEs, 24, 504-517.

21. Garashchuk, S., Rassolov, V. A.  (2008).  Stable long-time semiclassical description of zero-point energy in high-dimensional molecular systems.  Journal of Chemical Physics, 129(2), Article Number 024109.

22. He, X., Fowler, A., Menze, M., Hand, S. & Toner, M.  (2008).  Desiccation kinetics and biothermodynamics of trehalose solutions in thin films: Implication for lyopreservation.  Annals of Biomedical Engineering, 36(8), 1428-1439.

23. He, X., Park, E., Fowler, A., Yarmush M. & Toner, M.  (2008).  Vitrification by Ultra-fast Cooling at a Low Concentration of Cryoprotectants in a Quartz Microcapillary: A Study Using Murine Embryonic Stem Cells.  Cryobiology, 56(3), 223-232.

24. Heyden, A. & Truhlar, D. G.  (2008).  Conservative algorithm for an adaptive change of resolution in mixed atomistic / coarse-grained multiscale simulations.  J. Chem. Theory Comp. 4, 217-221.

25. Iron, M. A., Heyden, A., Staszewska, G. & Truhlar, D. G.  (2008).  Tight Binding-Configuration Interaction (TBCI): A Non-Iterative Approach to Incorporating Electrostatics into Tight Binding.  J. Chem. Theory Comp. 4, 804-818.

26. Ju, L., Zhao, W. D. & Tian, L.  (2008).  Convergence analysis of a splitting method for stochastic differential equations.  International Journal of Numerical Analysis and Modeling, 5, 673-692.

27. Ju, L., Choate, E., Gorrest, M. & Cui, Z.  (2008).  Effects of director angle anchoring conditions on the dynamic moduli of heterogeneous nematic polymers.  Proceedings of the XVth International Congress on Rheology, 481-483.

28. Ju, L., Ringler, T. & Gunzburger, M.  (2008).  A multi-resolution method for climate system modeling.  Ocean Dynamics, 58, 475-498.

29. Ju, L, Lee, H.-C. & Tian, L.  (2008).  Numerical simulations of the steady Navier-Stokes equations using adaptive meshing schemes.  International Journal for Numerical Methods in Fluids, 56, 703-721.

30. Ju, L., Emelianenko, M. & Rand, A.  (2008).  Nondegeneracy and weak global convergence of the Lloyd algorithm in R^d.  SIAM Journal on Numerical Analysis, 46, 1423-1441.

31. Ju, L., Du, Q. & Tian, L.  (2008).  Analysis of a mixed finite-volume discretization for fourth-order equations on general surfaces.  IMA Journal of Numerical Analysis, doi: 10.1093/imanum/drn021.

32. Lee, J., Forest, M. G., Wang, Q., & Zhou, R. Zhou.  (2008).  Dipole-induced bi-stability and hysteresis in nanorod monolayers.  Physics Letters A, 372, 3484-3487.

33. Mayhall, N. J., Raghavachari, K., Redfern, P. C., Curtiss, L. A., Rassolov, V.  (2008, April).  Toward accurate thermochemical models for transition metals: G3Large basis sets for atoms Sc-Zn.  Journal of Chemical Physics, 128(14), Art. No. 144122.

34. Pershin, Y. V., & Di Ventra, M.  (2008).  Spin memristive systems: Spin memory effects in semiconductor spintronics.  Phys. Rev. B, 78, 113309.

35. Pershin, Y. V., Dubi, Y. & Di Ventra, M.  (2008).  Effective single-particle order-N scheme for the dynamics of open non-interacting many-body systems.  Phys. Rev. B, 78, 054302.

36. Pershin, Y. V. & Di Ventra, M.  (2008).  Current-voltage characteristics of semiconductor/ferromagnet junctions in the spin blockade regime.  Phys. Rev. B, 77, 073301.

37. Pershin, Y. V. & De Ventra, M.  (2008).  Voltage probe of the Spin Hall Effect.  J. Phys. Cond. Matter, 20, 025204.

38. Rassolov, V. A. & Garashchuk, S.  (2008, Oct).  Computational complexity in quantum chemistry.  Chemical Physics Letters, 464(4-6), 262-264.

39. Roof, I. P., Park, S., Vogt, T., Rassolov, V., Smith, M. D., Omar, S., Nino, J. & zur Loye, H.-C.  (2008, May).  Crystal growth of two new niobates, La2KNbO6 and Nd2KNbO6: Structural, dielectric, photophysical, and photocatalytic properties.  Chemistry of Materials, 20(10), 3327-3335.

40. Sircar, S. & Wang, Q.  (2008).  Shear induced mesostructures in biaxial liquid crystal polymers.  Phys. Rev. E, 78, 061702.

41. Wang, H.  (2008).  An optimal-order error estimate for a family of ELLAM-MFEM approximations to porous medium flow.  SIAM J. Numer. Anal., 46, 2133—2152.

42. Wang, K. & Wang, H.  (2008).  A Uniform Estimate for the ELLAM Scheme for Transport Equations.  Numer. Methods for PDEs, 24, 535-554.

43. Wang, Q.  (2008).  Introduction to kinetic theory for complex fluids. In a book on Complex Fluids, in the Contemporary Applied Mathematics (CAM) series.  Higher Education Press and World Scientific.

44. Yang, X., Cui, Z., Forest, M. G., Wang, Q. & Zhou, R.  (2008).  Dimensional Robustness & Instability of Sheared Semi-dilute, Nano-rod Dispersions.  Siam Journal on Multiscale Modeling and Simulation, 7, 622-654.

45. Yang, X., Forest, M. G., Mullins, W. & Wang, Q.  (2008, To Appear).  Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions.  J. of Rheology.

46. Zhang, T. Y., Cogan, N. & Wang, Q.  (2008).  Phase Field Models for Biofilms. I. Theory and 1-D simulations.  Siam Journal on Applied Math, 69(3), 641-669.

47. Al-Lawatia, M., Wang, K., Telyakovskiy, A.S. & Wang, H.  (2007).  An Eulerian-Lagrangian method for porous medium flow.  International J. Computing Science and Mathematics, 1, 467-479.

48. Binev, P.  (2007).  Adaptive Methods and Near-Best Tree Approximation.  Mathematisches Forschungsinstitut Oberwolfach, Report No. 29, 1669-1673.

49. Binev, P., Cohen, A., Dahmen, W. & DeVore, R.  (2007).  Universal Piecewise Polynomial Estimators for Machine Learning, Curve and Surface Design.  Avignon 2006, Nashboro Press, 48-77.

50. Binev, P., Cohen, A., Dahmen, W. & DeVore, R.  (2007).  Universal algorithms for learning theory. Part II : piecewise polynomial functions.  Constructive Approximation, 26, 127-152.

51. Bushong, N., Pershin, Y. & Di Ventra, M.  (2007).  Turbulence-induced magnetic flux asymmetry at nanoscale junctions.  Phys. Rev. Lett. 99, 226802.

52. Forest, M. G., Wang, Q. & Zhou, R.  (2007).  Monodomain dynamics for rigid rod & platelet suspensions in strongly coupled coplanar linear flow and magnetic fields.  J. Rheology, 51, 1-21.

53. Forest, M. G., Zhou, R. & Wang, Q.  (2007).  Nano-rod suspension flows: a 2D Smoluchowski-Navier-Stokes solver.  International Journal of Numerical Analysis and modeling, 4(3-4), 478-488.

54. Forest, M. G., Zhou, R. & Wang, Q.  (2007).  Microscopic-Macroscopic Simulations of Rigid-Rod Polymer Hydrodynamics: Heterogeneity and Rheochaos.  Siam Journal on Multiscale Modeling and Simulation, MMS, 6, 858-878.

55. Garashchuk, S., Rassolov, V.  (2007, Oct).  Stabilization of quantum energy flows within the approximate quantum trajectory approach.  Journal of Physical Chemistry A, 111 (41), 10251-10255.

56. Garashchuk, S., Rassolov, V. A.  (2007).  Semiclassical nonadiabatic dynamics of NaFH with quantum trajectories.  Chemical Physics Letters, 446(4-6), 395-400.

57. Garashchuk, S.  (2007).  Computation of correlation functions and wave function projections in the context of quantum trajectory dynamics.  Journal of Chemical Physics, 126(15), Article Number 154104.

58. Hansen, N., Heyden, A., Bell, A. T. & Keil, F. J.  (2007).  Microkinetic modeling of nitrous oxide decomposition on binuclear oxygen bridged iron sites in Fe-ZSM-5.  J. Catal., 248, 213-225.

59. Hansen, N., Heyden, A., Bell, A. T. & Keil, F. J.  (2007).  A reaction mechanism for the nitrous oxide decomposition on binuclear oxygen bridged iron sites in Fe-ZSM-5.  J. Phys. Chem. C, 111, 2092-2101.

60. Heyden, A., Lin, H. & Truhlar, D. G.  (2007).  Adaptive partitioning in combined quantum mechanical and molecular mechanical calculations of potential energy functions for multiscale simulations.  J. Phys. Chem. B, 111, 2231-2241.

61. Ji, G., Wang, Q., Zhang, P., Wang, H., & Zhou, H.  (2007).  Steady states of homogeneous, rigid, extended nematic polymers under imposed magnetic fields and their stability.  Communication in Mathematical Sciences, 5(4), 917-950.

62. Ju, L.  (2007).  Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation.  International Journal of Numerical Analysis and Modeling, 4, 531-547.

63. Kataoka, A., Tanner, B. C. W., Macpherson, J. M., Xu, X., Wang, Q., Reginier, M., Daniel, T. & Chase, P. B.  (2007).  Spatially explicit, nanomechanical models of the muscle half sarcomere: Implications for mechanical tuning in atrophy and fatigue.  Acta Astronautica, 60(2), 111-118.

64. Liang, D., Du, C., & Wang, H.  (2007).  A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking.  J. Comput. Phys., 221, 198-225.

65. Pershin, Y. V. & Di Ventra, M.  (2007).  Spin blockade at semiconductor/ferromagnet junctions.  Phys. Rev. B, 75, 193301.

66. Pershin, Y. V.  (2007).  Optically-Induced Suppression of Spin Relaxation in Two-Dimensional Electron Systems with Rashba Interaction.  Phys. Rev. B, 75, 165320.

67. Pershin, Y. V. & Permarocchi, C.  (2007).  Radiation-induced current in quantum wires with side-coupled nano-rings.  Phys. Rev. B, 75, 035326.

68. Rassolov, V. A., Xu, F.  (2007, June).  Geminal model chemistry III: Partial spin restriction.  Journal of Chemical Physics, 126(23), 234112.

69. Rassolov, V. A. & Xu, F.  (2007, July).  Geminal model chemistry IV: Variational and size consistent pure spin states Source.  Journal of Chemical Physics, 127(4), Art. No. 044104.

70. Risco, R., Elmoazzen, H., Doughty, M., He, X., & Toner, M.  (2007).  Thermal performance of quartz capillaries for vitrification.  Cryobiology, 55(3), 222-229

71. Wang, H. & Wang, K.  (2007).  Uniform estimates for Eulerian-Lagrangian methods for singularly perturbed time-dependent problems.  SIAM . J. Numer. Anal., 45, 1305-1329.

72. Wang, K., Wang, H. & Al-Lawatia, M.  (2007).  An Eulerian-Lagrangian discontinuous Galerkin method for transient advection-diffusion equations.  Numerical Methods for PDEs, 23, 1343-1367.

73. Wang, Q.  (2007).  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.  World Scientific: Singapore.

74. Wang, Z., Al-Lawatia, M. & Wang, H.  (2007).  An Eulerian-Lagrangian method for option pricing in finance.  Numerical Methods for PDEs, 23, 293-329.

75. Zhou, H., Wang, H., Wang, Q. & Forest, M. G.  (2007).  Characterization of stable kinetic equilibria of rigid, dipolar rod ensembles for coupled dipole-dipole and excluded-volume potentials.  Nonlinearity, 20, 277-297.

76. Zhou, H., Wang, H. & Wang, Q.  (2007).  Nonparallel solutions of extended nematic polymers under an external field.  Discrete and Continuous Dynamical Systems-Series B, 7(4), 907-929.

77. Zhou, H., Forest, M. G. & Wang, Q.  (2007).  Anchoring-induced texture & flow feedback of nematic polymers in shear cells.  Discrete Dynamical Systems Series B, 8(3), 707-733.

78. Wang, H., Ding, Y., Wang, K., Ewing, R.E. & Efendiev, Y.R.  (2006).  A multiscale Eulerian-Lagrangian localized adjoint method for transient advection-diffusion equations with oscillatory coefficients.  Computing and Visualization in Science, DOI 10.1007/s00791-007-0078-5.