@article{chertock_kurganov_liu_liu_wu_2022, title={Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts}, volume={90}, ISSN={["1573-7691"]}, DOI={10.1007/s10915-021-01680-z}, number={1}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Kurganov, Alexander and Liu, Xin and Liu, Yongle and Wu, Tong}, year={2022}, month={Jan} }
 @article{cheng_chertock_herty_kurganov_wu_2019, title={A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations}, volume={80}, ISSN={["1573-7691"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-019-00947-w}, DOI={10.1007/s10915-019-00947-w}, number={1}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Cheng, Yuanzhen and Chertock, Alina and Herty, Michael and Kurganov, Alexander and Wu, Tong}, year={2019}, month={Jul}, pages={538–554} }
 @article{wu_shashkov_morgan_kuzmin_luo_2019, title={An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics}, volume={78}, ISSN={["1873-7668"]}, DOI={10.1016/j.camwa.2018.03.040}, abstractNote={We present a new Lagrangian discontinuous Galerkin (DG) hydrodynamic method for gas dynamics. The new method evolves conserved unknowns in the current configuration, which obviates the Jacobi matrix that maps the element in a reference coordinate system or the initial coordinate system to the current configuration. The density, momentum, and total energy ( ρ , ρ u , E ) are approximated with conservative higher-order Taylor expansions over the element and are limited toward a piecewise constant field near discontinuities using a limiter. Two new limiting methods are presented for enforcing the bounds on the primitive variables of density, velocity, and specific internal energy ( ρ , u , e ). The nodal velocity, and the corresponding forces, are calculated by solving an approximate Riemann problem at the element nodes. An explicit second-order method is used to temporally advance the solution. This new Lagrangian DG hydrodynamic method conserves mass, momentum, and total energy. 1D Cartesian coordinates test problem results are presented to demonstrate the accuracy and convergence order of the new DG method with the new limiters.}, number={2}, journal={COMPUTERS & MATHEMATICS WITH APPLICATIONS}, author={Wu, T. and Shashkov, M. and Morgan, N. and Kuzmin, D. and Luo, H.}, year={2019}, month={Jul}, pages={258–273} }
 @article{boroojeni_dewar_wu_hyman_2017, title={Generating bipartite networks with a prescribed joint degree distribution}, volume={5}, number={6}, journal={Journal of Complex Networks}, author={Boroojeni, A. A. and Dewar, J. and Wu, T. and Hyman, J. M.}, year={2017}, pages={839–857} }
 @article{kurganov_prugger_wu_2017, title={SECOND-ORDER FULLY DISCRETE CENTRAL-UPWIND SCHEME FOR TWO-DIMENSIONAL HYPERBOLIC SYSTEMS OF CONSERVATION LAWS}, volume={39}, ISSN={["1095-7197"]}, DOI={10.1137/15m1038670}, abstractNote={In this paper, we derive a new second-order fully discrete Godunov-type central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. The scheme is derived in three steps: reconstruction, evolution, and projection. The novelty of our approach is in the evolution step, which is performed using the nonuniform quadrilateral control volumes obtained based on the one-sided local speeds of propagation, and in the projection step, in which the evolved solution is projected back onto the uniform grid with the help of a new sharp piecewise polynomial reconstruction. The scheme is tested on a number of numerical examples for the Euler equations of gas dynamics. We have demonstrated that the new scheme is nonoscillatory and at the same time it achieves higher resolution than the second-order semidiscrete central-upwind scheme. The latter suggests that the fully discrete scheme has a smaller amount of numerical dissipation.}, number={3}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Kurganov, Alexander and Prugger, Martina and Wu, Tong}, year={2017}, pages={A947–A965} }