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Mathematics

D-Index
39
Citations
9938
World Ranking
2133
National Ranking
114

Overview

Alexander Kurganov is affiliated with the Southern University of Science and Technology in China and has a prominent research profile in the field of engineering, with specific focus on computational mechanics and applied mathematics.

The scientist's recent publications span a variety of topics related to computation and fluid dynamics, particularly within numerical methods for partial differential equations. Selected papers include:

  • "Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux," 2020, SIAM Journal on Scientific Computing
  • "A well-balanced central-upwind scheme for the thermal rotating shallow water equations," 2020, Journal of Computational Physics
  • "Moist-convective thermal rotating shallow water model," 2020, Physics of Fluids
  • "Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme," 2020, Geophysical & Astrophysical Fluid Dynamics
  • "Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts," 2021, Journal of Scientific Computing

Kurganov's collaborations include frequent coauthors such as Michael Lämmerhofer, Gongke Li, Peter Q. Tranchida, Koji Otsuka, and Joseph J. Pesek. These collaborations have contributed to a comprehensive body of work centered on numerical analysis and computational fluid dynamics.

The main fields of study include engineering, while the subfields cover:

  • Computational Mechanics
  • Applied Mathematics
  • Atmospheric Science
  • Numerical Analysis
  • Statistical and Nonlinear Physics

Kurganov's research touches on the following main topics:

  • Computational Fluid Dynamics and Aerodynamics
  • Fluid Dynamics and Turbulent Flows
  • Gas Dynamics and Kinetic Theory
  • Meteorological Phenomena and Simulations
  • Navier-Stokes equation solutions
  • Advanced Numerical Methods in Computational Mathematics
  • Climate variability and models

The scientist's work frequently appears in several publication venues, prominently in:

  • Journal of Separation Science
  • SSRN Electronic Journal
  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Journal of Scientific Computing

Best Publications

  • New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations

    Alexander Kurganov;Eitan Tadmor

  • Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations

    Alexander Kurganov;Sebastian Noelle;Guergana Petrova

  • A SECOND-ORDER WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME FOR THE SAINT-VENANT SYSTEM ∗

    Alexander Kurganov;Guergana Petrova

  • Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers

    Alexander Kurganov;Eitan Tadmor

  • CENTRAL-UPWIND SCHEMES FOR THE SAINT-VENANT SYSTEM

    Alexander Kurganov;Doron Levy

  • A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations

    Alexander Kurganov;Doron Levy

  • On the Reduction of Numerical Dissipation in Central-Upwind Schemes

    Alexander Kurganov;Chi-Tien Lin

  • A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

    Alexander Kurganov;Guergana Petrova

  • Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

    Alexander Kurganov;Guergana Petrova;Bojan Popov

  • A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

    Alina Chertock;Alexander Kurganov

  • A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

    Andreas Bollermann;Guoxian Chen;Alexander Kurganov;Sebastian Noelle

  • Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

    Steve Bryson;Yekaterina Epshteyn;Alexander Kurganov;Guergana Petrova

  • High-Rayleigh-number convection in a fluid-saturated porous layer

    Jesse Otero;Lubomira A. Dontcheva;Hans Johnston;Rodney A. Worthing

  • New High-Resolution Semi-discrete Central Schemes for Hamilton—Jacobi Equations

    Alexander Kurganov;Eitan Tadmor

  • Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

    A. Chertock;K. Fellner;A. Kurganov;A. Lorz

  • Central-Upwind Schemes for Two-Layer Shallow Water Equations

    Alexander Kurganov;Guergana Petrova

  • Well-balanced positivity preserving central-upwind scheme for the shallow water system with friction terms

    A. Chertock;S. Cui;A. Kurganov;T. Wu

  • Finite-volume schemes for shallow-water equations

    Alexander Kurganov

  • Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws†

    Alexander Kurganov;Guergana Petrova

  • ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

    Alina Chertock;Alexander Kurganov;Xuefeng Wang;Yaping Wu

Frequent Co-Authors

Eitan Tadmor
Eitan Tadmor University of Maryland, College Park
Michael Herty
Michael Herty RWTH Aachen University
Charles R. Doering
Charles R. Doering University of Michigan–Ann Arbor
Philip Rosenau
Philip Rosenau Tel Aviv University
Shi Jin
Shi Jin Shanghai Jiao Tong University
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Giovanni Russo
Giovanni Russo University of Catania
Tao Tang
Tao Tang Hong Kong Baptist University

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