师资

Alexander Kurganov
教授
0755-88018788
alexander@sustech.edu.cn

Research interests:
Scientific computing
Numerical Methods for Time-Dependent PDEs
Finite-Volume Methods
Numerical Methods for Geophysical Fluid Dynamics
Nonlinear PDEs

 

Education:
PhD in Applied Mathematics, Tel Aviv University, Israel, 1998
MS (Diploma of Higher Education) in Mathematics, Moscow State University, USSR, 1989

 

Professional Appointments:
2016 – present Professor, Department of Mathematics, Southern University of Science and Technology, China
2010 – 2015 Professor, Mathematics Department, Tulane University, USA
Summer 2012 Visiting Professor, Institute of Natural Sciences, Shanghai Jiao Tong University, China
May 2012 Visiting Professor, Institute of Mathematics, Univeristy of Bordeaux I, France
Summer 2011 Mercator Guest Professor, Institute of Mathematics, Johannes Gutenberg University, Mainz, Germany
2004 – 2010 Associate Professor, Mathematics Department, Tulane University, USA
Summer 2009 Visiting Associate Professor, Institute of Mathematics, Paul Sabatier University, Toulouse, France
Fall 2005 Visiting Associate Professor, Department of Mathematics, University of Michigan, USA
2001 – 2004 Assistant Professor, Mathematics Department, Tulane University, USA
1998 – 2001 Assistant Professor, Department of Mathematics, University of Michigan, USA
Spring 1998 Postdoctoral Fellow, Institute of Applied & Computational Mathematics Foundation for Research and Technology, Heraklion, Greece
Fall 1997 Postdoctoral Fellow, Mittag-Leffler Institute, The Royal Academy of Sciences, Djursholm, Sweden

 

Honors & Awards:
2015–2018 NSF Research Grant, PI, Tulane University
2012–2015 NSF Research Grant, PI, Tulane University
2012–2015 ONR Research Grant, PI, Tulane University
2011–2014 NSF Research Grant, PI, Tulane University
2011 German Research Foundation (DFG) Grant, Johannes Gutenberg University, Mainz
2006–2009 NSF Research Grant, PI, Tulane University
2003–2006 NSF Research Grant, PI, Tulane University
2000–2003 NSF Research Grant , PI , University of Michigan/Tulane University
1999 Rackham Graduate School Faculty Fellowship for Research , University of Michigan
1997 The Rosset Prize (for excellence in mathematics), School of Mathematical Sciences, Tel Aviv University, Israel

 

LIST OF PUBLICATIONS (in the reversed chronological order)
[78] X. Liu, A. Mohammadian, J. A. I. Sedano and A. Kurganov,
Three-Dimensional Shallow Water System: A Relaxation Approach
to appear in Journal of Computational Physics
[77] A. Kurganov
Central Schemes: a Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs
to appear in Handbook of Numerical Methods for Hyperbolic Problems: Part A
[76] Y. Cheng and A. Kurganov
Moving-Water Equilibria Preserving Central-Upwind Schemes for the Shallow Water Equations
Communications in Mathematical Sciences, 14 (2016), pp. 1643–1663
[75] A. Beljadid, A. Mohammadian and A. Kurganov
Well-Balanced Positivity Preserving Cell-Vertex Central-Upwind Scheme for Shallow Water Flows Computers and Fluids, 136 (2016), pp. 193–206
[74] A. Bernstein, A. Chertock and A. Kurganov
Central-Upwind Scheme for Shallow Water Equations with Discontinuous Bottom Topography
Bulletin of the Brazilian Mathematical Society. New Series, 47 (2016), pp. 91–103
[73] H. Shirkhani, A. Mohammadian, O. Seidou and A. Kurganov
A Well-Balanced Positivity-Preserving Central-Upwind Scheme for Shallow Water Equations on Unstructured Quadrilateral Grids
Computers and Fluids, 126 (2016), pp. 25–40
[72] Y. Cheng, A. Kurganov, Z. Qu and T. Tang
Fast and Stable Explicit Operator Splitting Methods for Phase-Field Models
Journal of Computational Physics, 303 (2015), pp. 45–65
[71] X. Liu, A. Mohammadian, A. Kurganov and J. A. I. Sedano
Well-Balanced Central-Upwind Scheme for a Fully Coupled Shallow Water System Modeling Flows over Erodible Bed
Journal of Computational Physics, 300 (2015), pp. 202–218
[70] J. Dewar, A. Kurganov and M. Leopold
Pressure-Based Adaption Indicator for Compressible Euler Equations
Numerical Methods for Partial Differential Equations, 31 (2015), pp. 1844–1874
[69] A. Chertock, S. Cui, A. Kurganov and T. Wu
Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term
SIAM Journal on Numerical Analysis, 53 (2015), pp. 2008–2029
[68] C.-Y. Kao, A. Kurganov, Z. Qu and Y. Wang
A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations
Journal of Scientific Computing, 64 (2015), pp. 837–857
[67] A. Chertock, S. Cui, A. Kurganov and T. Wu
Well-Balanced Positivity Preserving Central-Upwind Scheme for the Shallow Water System with Friction Terms
International Journal for Numerical Methods in Fluids, 78 (2015), pp. 355–383
[66] S. Yang, A. Kurganov and Y. Liu
Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System
Journal of Scientific Computing, 63 (2015), pp. 678–698
[65] S. Cui, A. Kurganov and A. Medovikov
Particle Methods for PDEs Arising in Financial Modeling
Applied Numerical Mathematics, 93 (2015), pp. 123–139
[64] M. Herty, A. Kurganov and D. Kurochkin
Numerical Method for Optimal Control Problems Governed by Nonlinear Hyperbolic Systems of PDEs Communications in Mathematical Sciences, 13 (2015), pp. 15–48
[63] M. J. Castro Diaz, Y. Cheng, A. Chertock and A. Kurganov
Solving Two-Mode Shallow Water Equations Using Finite Volume Methods
Communications in Computational Physics, 16 (2014), pp. 1323–1354
[62] A. Chertock, M. Herty and A. Kurganov
An Eulerian-Lagrangian Method for Optimization Problems Governed by Multidimensional Nonlinear Hyperbolic PDEs
Computational Optimization and Applications, 59 (2014), pp. 689–724
[61] A. Kurganov and J. Miller
Central-Upwind Scheme for Savage-Hutter Type Model of Submarine Landslides and Generated Tsunami Waves
Computational Methods in Applied Mathematics, 14 (2014), pp. 177–201
[60] A. Chertock, A. Kurganov and Y. Liu
Central-Upwind Schemes for the System of Shallow Water Equations with Horizontal Temperature Gradients
Numerische Mathematik, 127 (2014), pp. 595–639
[59] A. Kurganov and M. Lukacova-Medvidova
Numerical Study of Two-Species Chemotaxis Models
Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences, 19 (2014), pp. 131–152
[58] A. Chertock, A. Kurganov, A. Polizzi and I. Timofeyev
Pedestrian Flow Models with Slowdown Interactions
Mathematical Models and Methods in Applied Sciences, 24 (2014), pp. 249–275
[57] A. Chertock, A. Kurganov, Z. Qu and T. Wu
On a Three-Layer Approximation of Two-Layer Shallow Water Equations
Mathematical Modelling and Analysis, 18 (2013), pp. 675–693
[56] A. Bollermann, G. Chen, A. Kurganov and S. Noelle
A Well-Balanced Reconstruction for Wet/Dry Fronts
Journal of Scientific Computing, 56 (2013), pp. 267–290
[55] Y. Chen, A. Kurganov, M. Lei and Y. Liu
An Adaptive Artificial Viscosity Method for the Saint-Venant System
Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012; R. Ansorge et al. (Eds.): Recent Developments in the Numerics of Nonlinear Conservation Laws, Series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 120, pp. 125–141, Springer-Verlag Berlin Heidelberg 2013
[54] A. Kurganov and Y. Liu
New Adaptive Artificial Viscosity Method for Hyperbolic Systems of Conservation Laws
Journal of Computational Physics, 231 (2012), pp. 8114–8132
[53] A. Chertock, K. Fellner, A. Kurganov, A. Lorz and P.A. Markowich
Sinking, Merging and Stationary Plumes in a Coupled Chemotaxis-Fluid Model: a High-Resolution Numerical Approach
Journal of Fluid Mechanics, 694 (2012), pp. 155–190
[52] A. Chertock, A. Kurganov, X. Wang and Y. Wu
On a Chemotaxis Model with Saturated Chemotactic Flux
Kinetic and Related Models, 5 (2012), pp. 51–95
[51] S. Bryson, Y. Epshteyn, A. Kurganov and G. Petrova
Well-Balanced Positivity Preserving Central-Upwind Scheme on Triangular Grids for the Saint-Venant System
Mathematical Modelling and Numerical Analysis, 45 (2011), pp. 423–446
[50] A. Chertock, C.I. Christov and A. Kurganov
Central-Upwind Schemes for the Boussinesq Paradigm Equations
The Proceedings of the Fourth Russian-German Advanced Research Workshop on Computational Science and High Performance Computing, Freiburg, 2009; E. Krause et al. (Eds.): Computational Science and High Performance Computing IV, Series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 115, pp. 267– 281, Springer-Verlag Berlin Heidelberg 2011
[49] A. Chertock, C.R. Doering, E. Kashdan and A. Kurganov
A Fast Explicit Operator Splitting Method for Passive Scalar Advection
Journal of Scientific Computing, 45 (2010), pp. 200–214
[48] A. Chertock and A. Kurganov
On Splitting-Based Numerical Methods for Convection-Diffusion Equations
Quaderni di Matematica, 24 (2009), pp. 303–343
[47] A. Kurganov and J. Rauch
The Order of Accuracy of Quadrature Formulae for Periodic Functions
in Advances in phase space analysis of partial differential equations. In honor of Ferruccio Colombini's 60th birthday, A. Bove, D. Del Santo, and M.K.V. Murthy, eds., vol. 78 of Progress in nonlinear differential equations and their applications, Boston, 2009, Birkhauser, pp. 155–159
[46] A. Kurganov and A. Polizzi
Non-Oscillatory Central Schemes for Traffic Flow Models with Arrhenius Look-Ahead Dynamics
Networks and Heterogeneous Media, 4 (2009), pp. 431–451
[45] I. Kliakhandler and A. Kurganov
Quasi-Lagrangian Acceleration of Eulerian Methods
Communications in Computational Physics, 6 (2009), pp. 743–757
[44] A. Kurganov and G. Petrova
Central-Upwind Schemes for Two-Layer Shallow Water Equations
SIAM Journal on Scientific Computing, 31 (2009), pp. 1742–1773
[43] A. Chertock, A. Kurganov and G. Petrova
Fast Explicit Operator Splitting Method for Convection-Diffusion Equations
International Journal for Numerical Methods in Fluids, 59 (2009), pp. 309–332
[42] A. Chertock and A. Kurganov
Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods
Communications in Computational Physics, 5 (2009), pp. 565–581
[41] Y. Epshteyn and A. Kurganov
New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model
SIAM Journal on Numerical Analysis, 47 (2008), pp. 386–408
[40] A. Chertock and A. Kurganov
A Simple Eulerian Finite-Volume Method for Compressible Fluids in Domains with Moving Boundaries
Communications in Mathematical Sciences, 6 (2008), pp. 531–556
[39] A. Chertock and A. Kurganov
A Second-Order Positivity Preserving Central-Upwind Scheme for Chemotaxis and Haptotaxis Models
Numerische Mathematik, 111 (2008), pp. 169–205
[38] A. Chertock, S. Karni and A. Kurganov
Interface Tracking Method for Compressible Multifluids
Mathematical Modelling and Numerical Analysis, 42 (2008), pp. 991–1019
[37] A. Kurganov and G. Petrova
A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
Hyperbolic Problems: Theory, Numerics, Applications (Lyon 2006), pp. 635–642, Springer, 2008
[36] A. Chertock, E. Kashdan and A. Kurganov
Propagation of Diffusing Pollutant by a Hybrid Eulerian-Lagrangian Method
Hyperbolic Problems: Theory, Numerics, Applications (Lyon 2006), pp. 371–380, Springer, 2008
[35] A. Chertock, A. Kurganov and Yu. G. Rykov
A New Sticky Particle Method for Pressureless Gas Dynamics
SIAM Journal on Numerical Analysis, 45 (2007), pp. 2408–2441
[34] A. Kurganov, G. Petrova and B. Popov
Adaptive Semi-Discrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing, 29 (2007), pp. 2381–2401
[33] A. Kurganov and G. Petrova
A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System
Communications in Mathematical Sciences, 5 (2007), pp. 133–160
[32] A. Kurganov and C.-T. Lin
On the Reduction of Numerical Dissipation in Central-Upwind Schemes
Communications in Computational Physics, 2 (2007), pp. 141–163
[31] L.A. Constantin and A. Kurganov
Adaptive Central-Upwind Schemes for Hyperbolic Systems of Conservation Laws
Hyperbolic Problems: Theory, Numerics and Applications (Osaka, 2004), pp. 95–103, Yokohama Publishers, 2006
[30] A. Kurganov
Well-Balanced Central-Upwind Scheme for Compressible Two-Phase Flows
Proceedings of the European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006
[29] A. Chertock and A. Kurganov
On a Practical Implementation of Particle Methods
Applied Numerical Mathematics, 56 (2006), pp. 1418–1431
[28] A. Kurganov and G. Petrova
Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians
Journal of Scientific Computing, 27 (2006), pp. 323–333
[27] A. Chertock, A. Kurganov and G. Petrova
Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water
Journal of Scientific Computing, 27 (2006), pp. 189–199
[26] A. Kurganov and P. Rosenau
On Reaction Processes with Saturating Diffusion
Nonlinearity, 19 (2006), pp. 171–193
[25] A. Chertock and A. Kurganov
Conservative Locally Moving Mesh Method for Multifluid Flows
Finite Volumes for Complex Applications, IV (Marrakech, 2005), pp. 273–284, Hermes Sci. Publ., 2005
[24] A. Chertock, A. Kurganov and G. Petrova
Fast Explicit Operator Splitting Method. Application to the Polymer System
Finite Volumes for Complex Applications, IV (Marrakech, 2005), pp. 63–72, Hermes Sci. Publ., 2005
[23] A. Kurganov and G. Petrova
Central-Upwind Schemes on Triangular Grids for Hyperbolic Systems of Conservation Laws
Numerical Methods for Partial Differential Equations, 21 (2005), pp. 536–552
[22] A. Chertock, A. Kurganov and P. Rosenau
On Degenerate Saturated-Diffusion Equations with Convection
Nonlinearity, 18 (2005), pp. 609–630
[21] S. Bryson, A. Kurganov, D. Levy and G. Petrova
Semi-Discrete Central-Upwind Schemes with Reduced Dissipation for Hamilton-Jacobi Equations
IMA Journal of Numerical Analysis, 25 (2005), pp. 113–138
[20] S. Karni and A. Kurganov
Local Error Analysis for Approximate Solutions of Hyperbolic Conservation Laws
Advances in Computational Mathematics, 22 (2005), pp. 79–99
[19] A. Chertock and A. Kurganov
On a Hybrid Finite-Volume-Particle Method
Mathematical Modelling and Numerical Analysis, 38 (2004), pp. 1071–1091
[18] S. Karni, E. Kirr, A. Kurganov and G. Petrova
Compressible Two-Phase Flows by Central and Upwind Schemes
Mathematical Modelling and Numerical Analysis, 38 (2004), pp. 477–494
[17] J. Otero, L.A. Dontcheva, H. Johnston, R.A. Worthing, A. Kurganov, G. Petrova and C.R. Doering
High Raleigh Number Convection in a Fluid Saturated Porous Layer
Journal of Fluid Mechanics, 500 (2004), pp. 263–281
[16] A. Kurganov
An Accurate Deterministic Projection Method for Hyperbolic Systems with Stiff Source Term
Hyperbolic Problems: Theory, Numerics, Applications (Pasadena, 2002), pp. 665–674, Springer-Verlag, 2003
[15] A. Chertock, A. Kurganov and P. Rosenau
Formation of Discontinuities in Flux-Saturated Degenerate Parabolic Equations
Nonlinearity, 16 (2003), pp. 1875–1898
[14] A. Kurganov
Central-Upwind Schemes for Balance Laws. Application to the Broadwell Model
Finite Volumes for Complex Applications, III (Porquerolles, 2002), pp. 351–358, Hermes Sci. Publ., Paris, 2002
[13] A. Kurganov and D. Levy
Central-Upwind Schemes for the Saint-Venant System
Mathematical Modelling and Numerical Analysis, 36 (2002), pp. 397–425
[12] A. Kurganov and E. Tadmor
Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers
Numerical Methods for Partial Differential Equations, 18 (2002), pp. 584–608
[11] S. Karni, A. Kurganov and G. Petrova
A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems
Journal of Computational Physics, 178 (2002), pp. 323–341
[10] A. Kurganov, S. Noelle and G. Petrova
Semi-Discrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations
SIAM Journal on Scientific Computing, 23 (2001), pp. 707–740
[9] A. Kurganov and G. Petrova
A Third-Order Semi-Discrete Genuinely Multidimensional Central Scheme for Hyperbolic Conservation Laws and Related Problems
Numerische Mathematik, 88 (2001), pp. 683–729
[8] A. Kurganov and D. Levy
A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
SIAM Journal on Scientific Computing, 22 (2000), pp. 1461–1488
[7] A. Kurganov and G. Petrova
Central Schemes and Contact Discontinuities
Mathematical Modelling and Numerical Analysis, 34 (2000), pp. 1259–1275
[6] A. Kurganov and E. Tadmor
New High-Resolution Semi-Discrete Central Schemes for Hamilton-Jacobi Equations
Journal of Computational Physics, 160 (2000), pp. 720–742
[5] A. Kurganov and E. Tadmor
New High Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations
Journal of Computational Physics, 160 (2000), pp. 241–282
[4] J. Goodman, A. Kurganov and P. Rosenau
Breakdown of Burgers-type Equations with Saturating Dissipation Fluxes
Nonlinearity, 12 (1999), pp. 247–268
[3] A. Kurganov, D. Levy and P. Rosenau
On Burgers-type Equations with Non-monotonic Dissipative Fluxes
Communications on Pure and Applied Mathematics, 51 (1998), pp. 443–473
[2] A. Kurganov and E. Tadmor
Stiff Systems of Hyperbolic Conservation Laws. Convergence and Error Estimates
SIAM Journal on Mathematical Analysis, 28 (1997), pp. 1446–1456
[1] A. Kurganov and P. Rosenau
The Effect of a Saturating Dissipation in Burgers-type Equations
Communications on Pure and Applied Mathematics, 50 (1997), pp. 753–771

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