Publications

Published

* denotes authors listed in alphabetical order.

• Well-balanced numerical method for atmospheric flow equations with gravity.

  Alina Chertock, Alexander Kurganov, Tong Wu*, and Jun Yan.

  Applied Mathematics and Computation 439 (2023), 127587.

  DOI: 10.1016/j.amc.2022.127587

• Modeling spatial waves of Wolbachia invasion for controlling mosquito-borne diseases.

  Zhuolin Qu, Tong Wu, and James M. Hyman.

  SIAM Journal on Applied Mathematics 82 (2022), 1903–1929.

• Well-Balanced Positivity Preserving Adaptive Moving Mesh Central-Upwind Schemes for the Saint-Venant System.

  Alexander Kurganov, Zhuolin Qu, and Tong Wu*.

  ESAIM: Mathematical Modelling and Numerical Analysis 56 (2022), 1327–1360.

• Well-Balancing Via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts.

  Alina Chertock, Alexander Kurganov, Xin Liu, Yongle Liu, and Tong Wu*.

  Journal of Scientific Computing 90 (2022), Article 9.

  DOI: 10.1007/s10915-021-01680-z

• Adaptive Moving Mesh Central-Upwind Schemes for Hyperbolic System of PDEs. Applications to Compressible Euler Equations and Granular Hydrodynamics.

  Alexander Kurganov, Zhuolin Qu, Olga S. Rozanova, and Tong Wu*.

  Communications on Applied Mathematics and Computation (2021), 1–35.

  DOI: 10.1007/s42967-020-00082-6

• Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System.

  Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu, and Hui Yu.

  SIAM Journal on Scientific Computing 42.4 (2020), A2206–A2229.

  DOI: 10.1137/19M1258098

• Operator Splitting Based Central-Upwind Schemes for Shallow Water Equations with Moving Bottom Topography.

  Alina Chertock, Alexander Kurganov, and Tong Wu*.

  Communications in Mathematical Sciences 18.8 (2020), 2149–2168.

  DOI: 10.4310/CMS.2020.v18.n8.a3

• An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics.

  Tong Wu, Mikhail J. Shashkov, Nathaniel Morgan, Hong Luo, and Dmitri Kuzmin.

  Computers & Mathematics with Applications 78.2 (2019), 258–273.

  DOI: 10.1016/j.camwa.2018.03.040

• A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.

  Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander Kurganov, and Tong Wu*.

  Journal of Scientific Computing 80.1 (2019), 538–554.

  DOI: 10.1007/s10915-019-00947-w

• Adaptive Moving Mesh Upwind Scheme for the Two-Species Chemotaxis Model.

  Alina Chertock, Alexander Kurganov, Mario Ricchiuto, and Tong Wu*.

  Computers & Mathematics with Applications 77.12 (2019), 3172–3185.

  DOI: 10.1016/j.camwa.2019.01.021

• Generating Bipartite Networks with a Prescribed Joint Degree Distribution.

  Asma Azizi, Jeremy Dewar, Tong Wu, and James M. Hyman.

  Journal of Complex Networks 5.6 (2017), 839–857.

  DOI: 10.1093/comnet/cnx014

• Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws.

  Alexander Kurganov, Martina Prugger, and Tong Wu*.

  SIAM Journal on Scientific Computing 39.3 (2017), A947–A965.

  DOI: 10.1137/15M1038670

• Well-Balanced Positivity Preserving Central-Upwind Scheme for the Shallow Water System with Friction Terms.

  Alina Chertock, Shumo Cui, Alexander Kurganov, and Tong Wu*.

  International Journal for Numerical Methods in Fluids 78 (2015), 355–383.

  DOI: 10.1002/fld.4023

• Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term.

  Alina Chertock, Shumo Cui, Alexander Kurganov, and Tong Wu*.

  SIAM Journal on Numerical Analysis 53 (2015), 2008–2029.

  DOI: 10.1137/151005798

• On a Three-Layer Approximation of Two-Layer Shallow Water Equations.

  Alina Chertock, Alexander Kurganov, Zhuolin Qu, and Tong Wu*.

  Mathematical Modelling and Analysis 18 (2013), 675–693.

  DOI: 10.3846/13926292.2013.869269

Submitted / Under Review

• Multistage spatial model for informing release of Wolbachia-infected mosquitoes as disease control.

  Zhuolin Qu and Tong Wu.

  Submitted to Royal Society Open Science, 2025.

• Interpolated Discrepancy Data Assimilation for PDEs with Sparse Observations.

  Tong Wu, Humberto Godinez, Vitaliy Gyrya, and James M. Hyman.

  Submitted to SIAM Journal on Scientific Computing, 2025.

• Travelling Waves in Wolbachia Spread Dynamics.

  Zhuolin Qu, Tong Wu, and Eddy Kwessi.

  Submitted to Journal of Biological Dynamics, 2025.