Tianshi Lu
Professor
Department of Mathematics, Statistics and Physics
Wichita State University
Wichita, Kansas 67260-0033

Office: 356 Jabara Hall
Phone: (316)978-5293
E-mail: tianshi.lu@wichita.edu

Brief CV ( Full CV )
Professor Department of Mathematics, Statistics, and Physics, Wichita State University, 2021-present.
Associate Professor Department of Mathematics, Statistics, and Physics, Wichita State University, 2012-2021.
Assistant Professor Department of Mathematics and Statistics, Wichita State University, 2008-2012.
Assistant Computational Scientist Computational Science Center, Brookhaven National Lab, 2008.
Research Associate Computational Science Center, Brookhaven National Lab, 2005-2007.
         Supervisors: Roman Samulyak, James Davenport.
Visiting Scholar Applied Mathematics, Stony Brook University, Fall 2006.
Ph.D. Applied Mathematics, Stony Brook University, August 2005.
         Advisors: James Glimm, Roman Samulyak.
         Thesis: Direct numerical simulation of bubbly flows and interfacial dynamics of phase transitions.
M.A. Mathematics, University of Wisconsin - Madison, May 2001.
M.S. Physics, New York University, Jan. 1999. Advisor: Jerome Percus.
B.S.  Physics, Fudan University, Shanghai, China, July 1997.

5Th Workshop on the DOE Advanced Computational Software Collection, Berkeley, California. Aug. 2004.

Sigma Xi Excellence in Research Award, Stony Brook University, 2005.
Meyer Fellowship, New York University, 1997.

Research
Fields of Interest
Experiences

Publication
Journal papers
  • T. Lu, C. Ma, Y. Xiao, Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces, J. Theor. Probab., 36, 2403-2425 (2023).
  • T. Lu, C. Ma, F. Wang, Series expansions of fractional Brownian motions and strong local nondeterminism of bifractional Brownian motions on balls and spheres, Theory Prob. Appl., 68:1, 88-110 (2023).
  • T. Lu, J. Du, C. Ma, Stochastic comparison for elliptically contoured random fields, Stat. Probabil. Lett., 189, 109594 (2022).
  • T. Lu, N. Leonenko, C. Ma, Series representations of isotropic vector random fields on balls, Stat. Probabil. Lett., 156, 108583 (2020).
  • T. Lu, C. Ma, Isotropic covariance matrix functions on compact two-point homogeneous spaces, J. Theor. Probab., 33, 1630-1656 (2020).
  • T. Lu, T. Jeffres, K. Kirsten, Zeta function of self-adjoint operators on surfaces of revolution, J. Phys. A: Math. Theor., 48, 145204 (2015).
  • T. Lu, Wave propagation in bubbly fluids and cavitation mitigation, Wave Propagation, Ed. Gomes Mateus, Academy Publish, 309-332 (2014).
  • Y. Kostogorova-Beller, T. Lu, Numerical Modeling of Experimentally Obtained Lightning Arc Root Damage in Metal Sheets, Int'l J. Eng. Prac. Res., 2, 139-147 (2013).
  • T. Jeffres, K. Kirsten, T. Lu, Zeta function on surfaces of revolution, J. Phys. A: Math. Theor., 45, 345201 (2012).
  • T. Lu, Population Inversion by Chirped Pulses, Phys. Rev. A, 84, 033411 (2011).
  • P. Parks, T. Lu, R. Samulyak, Charging and E×B Rotation of Ablation Clouds Surrounding Refueling Pellets in Hot Fusion Plasmas, Physics of Plasmas. 16, 060705 (2009).
  • T. Lu, J. Du, R. Samulyak, A Numerical Algorithm for Magnetohydrodynamics of Ablated Materials, J. Nanosci. Nanotechnol. 8, 3674-3685 (2008).
  • T. Lu, Z. L. Xu, J. Glimm, R. Samulyak, X. M. Ji, Dynamic Phase Boundaries for Compressible Fluids, SIAM J. Sci. Comput. 30, 895-915 (2008).
  • R. Samulyak, T. Lu, P. Parks, J. Glimm, X. Li, Simulation of pellet ablation for tokamak fuelling with ITAPS front tracking, Journal of Physics: Conf. Series 125, 012081 (2008).
  • T. Lu, X. Miao, H. Metcalf, Nonadiabatic Transitions in Finite-Time Adiabatic Rapid Passage, Phys. Rev. A 75, 063422 (2007).
  • T. Lu, R. Samulyak, J. Glimm, Direct Numerical Simulations of Bubbly Flows and Application to Cavitation Mitigation, J. Fluids Eng. 129, 595-604 (2007).
  • R. Samulyak, T. Lu, P. B. Parks, A Magnetohydrodynamics Simulation of Pellet Ablation in the Electrostatic Approximation, Nucl. Fusion 47, 103-118 (2007). Cited by B. Pegourie.
  • J. Glimm, B. Fix, X.L. Li, J. Liu, X. Liu, T. Lu, R. Samulyak, Z. Xu, Front Tracking under TSTT, Astronomical Society of the Pacific 359, 15-24 (2006).
  • Z. Xu, M. Kim, T. Lu, W. Oh, J. Glimm, R. Samulyak, X. Li, C. Tzanos, Discrete Bubble Modeling of Unsteady Cavitating Flow, Int. J. Multiscale Comp. Eng. 4, 601-616 (2006).
  • R. Samulyak, Y. Prykarpatskyy, T. Lu, J. Glimm, Z. Xu, M.N. Kim, Comparison of Heterogeneous and Homogenized Numerical Models of Cavitation, Int. J. Multiscale Comp. Eng. 4, 377-390 (2006).
  • T. Lu, X. Miao, H. Metcalf, The Bloch Theorem on the Bloch Sphere, Phys. Rev. A 71, 061405(R) (2005).
  • H. Jin, X.F. Liu, T. Lu, B. Cheng, J. Glimm, D.H. Sharp, Rayleigh-Taylor Mixing Rates for Compressible Flow, Phys. Fluids 17, 024104 (2005).
  • R. Samulyak, T. Lu, Y. Prykarpatskyy, Direct and Homogeneous Numerical Approaches to Multiphase Flows and Applications, Lecture Notes in Computer Science 3039, 653-660 (2004), Springer Berlin / Heidelberg.

  • Presentations
    Oct. 2023 T. Lu and S. Linkha, Inverse gravimetry problem, 8th Annual Meeting of SIAM Central States Section, Lincoln, NE.
    Aug. 2023 T. Lu, Isotropic Random Vector Field on a Sphere, Workshop on Stochastic Analysis, Random Fields, and Applications, MSU, MI.
    July 2023 T. Lu, Sample Path Properties of Isotropic Gaussian Random Fields on Spheres, International Chinese Statistical Association 2023 China Conference, Chengdu, China.
    Oct. 2022 T. Lu and A. Murray, Melt pool formation by a moving heat source, 7th Annual Meeting of SIAM Central States Section, Stillwater, OK.
    Mar. 2022 T. Lu and S. Rahmati, Superconvergence of discontinuous Galerkin method for linear and nonlinear advection equations, KU Numerical Analysis Day, Lawrence, KS.
    Oct. 2019 T. Lu and S. Rahmati, Super-convergence of DG Method for Scalar Nonlinear Conservation Laws, 5th Annual Meeting of SIAM Central States Section, Ames, IA.
    Apr. 2015 T. Lu and P.Rinker, Simulation of Pellet Ablation in Tokamaks, 1st Annual Meeting of SIAM Central States Section Missouri S&T, Rolla, MO.
    May 2013 T. Lu and P.Rinker, Simulation of Pellet Ablation in Tokamaks, 1st Central Region Conference on Numerical Analysis & Dynamical Systems, Lawrence, KS.
    Jan. 2012 T. Lu and P.Rinker, Simulation of Peller Ablation in DIII-D, Kansas NSF EPSCoR Conference, Wichita, KS.
    Nov. 2011 T. Lu and P.Rinker, Simulation of Peller Ablation in DIII-D, 53nd Annual Meeting of the APS Division of Plasma Physics, Salt Lake City, Utah.
    July 2011 T. Lu and P.Rinker, Scaling Laws for Pellet Ablation in Tokamaks, 7th International Congress on Industrial and Applied Mathematics, Vancouver, Canada.
    June 2011 T. Lu and P.Rinker, Modeling of Multiphase Magnetohydrodynamics in Tokamaks, International Conference on Applied Mathematics and Interdisciplinary Research, Tianjin, China.
    Nov. 2010 T. Lu and P.Rinker, Scaling Laws for Pellet Ablation in Tokamaks, 52nd Annual Meeting of APS Division of Plasma Physics, Chicago, Illinois.
    Oct. 2010 T. Lu and P.Rinker, Multiphase Magnetohydrodynamics in Tokamaks, Kansas NSF EPSCoR Conference, Lawrence, Kansas.
    March 2010 T. Lu, Theory and Computation of the Grad-Shafranov Equation, Computational Applied Math Seminar, Stony Brook, New York.
    Nov. 2009 P. Parks, T. Lu and R. Samulyak, Intrinsic Rotation of Pellet Ablation Clouds, 51st Annual Meeting of APS Division of Plasma Physics, Atlanta, Georgia.
    July 2009 T. Lu, Multiphase MHD at Low Magnetic Reynolds Numbers, 10th US National Congress on Computational Mechanics, Columbus, Ohio.
    July 2009 T. Lu, Multiphase MHD at Low Magnetic Reynolds Numbers, General Atomics Seminar, San Diego, California.
    Nov. 2008 T. Lu, Multiphase MHD at Low Magnetic Reynolds Numbers, Inverse Problem Seminar, Wichita State University, Wichita, KS.
    July 2008 T. Lu, J. Du and R. Samulyak, Multiphase Algorithm and Simulation for MHD of Ablated Materials, 2008 SIAM Annual Meeting, San Diego, California.
    July 2008 L. Wu, R. Samulyak and T. Lu, 4th Order Embedded Boundary Method for the Maxwell Equations, 2008 SIAM Annual Meeting, San Diego, California.
    June 2008 T. Lu, Z. Xu and R. Samulyak, Dynamic Phase Boundaries for Compressible Fluids, 12th International Conference on Hyperbolic Problems, College Park, MD.
    June 2008 T. Lu, Introduction to Advanced Computational Software (ACTS) Collection, New York Center for Computational Science Seminar, Stony Brook University, NY.
    Mar. 2008 T. Lu, R. Samulyak, P. Parks and J. Du, Multiphase MHD at Low Magnetic Reynolds Numbers, 2008 AMS Spring Eastern Meeting, Courant Institute, New York.
    Feb. 2008 T. Lu, R. Samulyak, P. Parks and J. Du, Multiphase MHD at Low Magnetic Reynolds Numbers, AMS Graduate Student Conference, Stony Brook, NY.
    Jan. 2008 T. Lu, Multiphase Computational Fluid Dynamics with Applications, Wichita State University, Wichita, Kansas.
    Nov. 2007 R. Samulyak, T. Lu and P. Parks, Charging and Rotation of Pellet Ablation Cloud, 49th Annual Meeting of APS Division of Plasma Physics, Orlando, FL.
    Sep. 2007 L. Wu, R. Samulyak and T. Lu, 4th order Embedded Boundary FDTD algorithm for Maxwell Equations, COMPASS All Hands Meeting, Fermilab, Batavia, IL.
    Apr. 2007 T. Lu and R. Samulyak, MHD Simulation of Pellet Ablation in Tokamak, CSC Seminar, Brookhaven National Laboratory, Upton, NY.
    Mar. 2007 T. Lu and R. Samulyak, Front Tracking Multiphase Code - FronTier, Brookhaven National Laboratory / CMR-RPI Collaboration Meeting, RPI, Troy, NY.
    Feb. 2007 R. Samulyak, T. Lu, J. Du and P. Parks, Numerical Methods for MHD of Ablated Materials, SIAM Conference on Computational Science and Engineering, Costa Mesa, CA.
    Nov. 2006 T. Lu, Z. L. Xu, R. Samulyak and J. Glimm, Dynamic Phase Boundaries for Compressible Fluids, 59th Annual Meeting of APS Division of Fluid Dynamics, Tampa Bay, Florida.
    Oct. 2006 R. Samulyak, T. Lu and P. Parks, Axisymmetric MHD Simulations of Pellet Ablation, 48th Annual Meeting of APS Division of Plasma Physics, Philadelphia, PA.
    Oct. 2006 X. Miao, T. Lu, E. Wertz, M. G. Cohen and H. Metcalf, Observation of Large Optical Forces in Modulated Light, Laser Sciences XXII, Rochester, NY.
    July 2006 R. Samulyak, T. Lu, J. Du and P. Parks, Numerical Algorithms for MHD of Flows of Ablated Materials, 7th World Congress on Computational Mechanics, Los Angeles, CA.
    July 2006 R. Samulyak, T. Lu and P. Parks, Axisymmetric MHD Simulation of Pellet Ablation, CPPG Seminar, Princeton Plasma Physics Laboratory, Princeton, NJ.
    July 2006 X. Miao, T. Lu, E. Wertz, M. G. Cohen and H. Metcalf, Observation of Large Optical Forces in Modulated Light, 20th International Conference on Atomic Physics, Innsbruck, Austria.
    May 2006 T. Lu, X. Miao and H. Metcalf, Nonadiabatic Transitions in Adiabatic Rapid Passage, 37th Annual Meeting of APS Division of Atomic, Molecular and Optical Physics, Knoxville, TN.
    Mar. 2006 T. Lu, R. Samulyak and J. Glimm, Pressure Driven Liquid-Vapor Phase Transitions, 2006 APS March Meeting, Baltimore, MD.
    Dec. 2005 R. Samulyak and T. Lu, Direct Numerical Simulation of Bubbly and Cavitating Flows and Applications to Cavitation Mitigation, Mitigation of Cavitation Damage Erosion in Liquid Metal Spallation Targets, Developments Required for Gas Bubble Injection, Bubble Population Diagnostics and Protective Gas Walls, Oak Ridge National Lab/Spallation Neutron Source, TN.
    Oct. 2005 T. Lu, R. Samulyak and J. Glimm, Direct Numerical Simulation of Bubbly Flows and Interfacial Dynamics of Phase Transitions, Computational Science Center, Brookhaven National Laboratory, NY.
    July 2005 T. Lu, R. Samulyak and J. Glimm, Theory and Simulation of Compressible Two-Phase Flows with Phase Transition, 2005 SIAM Annual Meeting, New Orleans, LA.
    May 2005 T. Lu, R. Samulyak and J. Glimm, Direct Numerical Simulation of Bubbly Flows and Application to the Mitigation of Cavitation Erosion, 2nd Conference on Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, Newark, NJ.
    May 2005 X. Miao, T. Lu and H. Metcalf, Properties of Multiple Adiabatic Rapid Passage Sequences, 36th Annual Meeting of APS Division of Atomic, Molecular and Optical Physics, Lincoln, NE.
    Apr. 2005 R. Samulyak, Y. Prykarpatskyy, T. Lu, Z. Xu and J. Du, Target Simulations, MUTAC Review 2005, Lawrence Berkeley National Laboratory, California.
    Feb. 2005 R. Samulyak, Y. Prykarpatskyy, T. Lu, Z. Xu and J. Du, Hg Jet Simulations, Muon Collider/Neutrino Factory Collaboration Meeting, LBNL, Berkeley, CA.
    June 2004 R. Samulyak, T. Lu, and Y. Prykarpatskyy, Direct and Homogeneous Numerical Approaches to Multiphase Flows and Applications, International Conference on Computational Science 2004, Krakow, Poland.
    May 2004 R. Samulyak, Y. Prykarpatskyy and T. Lu, Target Simulations, Muon Collider/Neutrino Factory Collaboration Meeting, CERN, Geneva, Switzerland.
    Apr. 2004 R. Samulyak, Y. Prykarpatskyy and T. Lu, Target Simulations, MUTAC Review 2004, Brookhaven National Laboratory, New York.
    Jan. 2004 R. Samulyak, T. Lu and Y. Prykarpatskyy, Modeling and Simulations of Cavitating and Bubbly Flows, Muon Collider/Neutrino Factory Collaboration Meeting, Riverside, CA.
    Nov. 2003 T. Lu, R. Samulyak and J. Glimm, Direct and Continuous Numerical Simulations of Bubbly Flows, 56th Annual Meeting of APS Division of Fluid Dynamics, East Rutherford, NJ.