Publications and Preprints (*authors
in alphabetical order)
- Alina Chertock, A. Kurganov, Xin Liu, Yongle Liu and Tong
Wu* (2022)
Well-Balancing Via Flux Globalization: Applications to
Shallow Water Equations with Wet/Dry Fronts
Journal of Scientific Computing, 90, Article number: 9
(2022).DOI:10.1007/s10915-021-01680-z
- Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong
Wu and Hui Yu (2020)
Moving-Water Equilibria Preserving Partial Relaxation
Scheme for the Saint-Venant System
SIAM Journal on Scientific Computing 42.4 (2020):
A2206-A2229. DOI:10.1137/19M1258098
- Alina Chertock, Alexander Kurganov, and Tong Wu*
(2020)
Operator Splitting Based Central-Upwind Schemes for
Shallow Water Equations with Moving Bottom Topography
Communications in Mathematical Sciences 18.8 (2020):
2149-2168. DOI:10.4310/CMS.2020.v18.n8.a3
- Alexander Kurganov, Zhuolin Qu, Olga S. Rozanova, and Tong
Wu* (2020)
Adaptive Moving Mesh Central-Upwind Schemes for
Hyperbolic System of PDEs: Applications to Compressible
Euler Equations and Granular Hydrodynamics
Communications on Applied Mathematics and Computation
(2020): 1-35. DOI:10.1007/s42967-020-00082-6
- Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander
Kurganov, and Tong Wu* (2019)
A New Approach for Designing Moving-Water Equilibria
Preserving Schemes for the Shallow Water Equations
Journal of Scientific Computing 80.1 (2019): 538-554. DOI:10.1007/s10915-019-00947-w
- Tong Wu, Mikhail J. Shashkov, Nathaniel Morgan,
Hong Luo and Dmitri Kuzmin (2019)
An updated Lagrangian discontinuous Galerkin
hydrodynamic method for gas dynamics
Computers & Mathematics with Applications 78.2 (2019):
258-273. DOI:10.1016/j.camwa.2018.03.040
- Alina Chertock, Alexander Kurganov, Mario Ricchiuto, and
Tong Wu* (2019)
Adaptive Moving Mesh Upwind Scheme for the Two-Species
Chemotaxis Model
Computers & Mathematics with Applications 77.12
(2019): 3172-3185. DOI:10.1016/j.camwa.2019.01.021
- Asma Boroojeni, Jeremy Dewar, Tong Wu and James
Hyman (2017)
Generating Bipartite Networks with a Prescribed Joint
Degree Distribution
Journal of complex networks 5.6 (2017): 839-857. DOI: 10.1093/comnet/cnx014
- Alexander Kurganov, Martina Prugger, and Tong Wu*
(2017)
Second-Order Fully Discrete Central-Upwind Scheme for
Two-Dimensional Hyperbolic Systems of Conservation Laws
SIAM Journal on Scientific Computing, 39 (2017),
A947-A965. DOI:10.1137/15m1038670.
- Alina Chertock, Shumo Cui, Alexander Kurganov, and Tong
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), 355-383. DOI: 10.1002/fld.4023
- Alina Chertock, Shumo Cui, Alexander Kurganov, and and Tong
Wu*
Steady State and Sign Preserving Semi-Implicit Runge-Kutta
Methods for ODEs with Stiff Damping Term
SIAM Journal on Numerical Analysis, 53 (2015), 2008-2029.
DOI: 10.1137/151005798
- Alina Chertock, A. Kurganov, Zhuolin Qu and Tong Wu*
On a Three-Layer Approximation of Two-Layer Shallow Water
Equations
Mathematical Modelling and Analysis, 18 (2013), 675-693.
DOI: 10.3846/13926292.2013.869269