Publications

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Publications/Preprints

31. S.L. Heenatigala and W. Guo, “A charge-conserving low-rank tensor method for the Vlasov–Maxwell system”, preprint.

30. W. Guo and J.-M. Qiu, “An energy-conserving low-rank tensor method for the Vlasov-Poisson system”, preprint.

29. W. Guo and J.-M. Qiu, “A conservative low-rank tensor method for the Vlasov dynamics”, preprint.

28. W. Guo, “A sparse grid discontinuous Galerkin method for the high-dimensional Helmholtz equation with variable coefficients”, preprint.

27. W. Guo and J.-M. Qiu, “A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps”, Journal of Computational Physics, v458 (2022).

26. X. Cai, W. Guo, and J.-M. Qiu, “Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations”, v4 (2022), pp.3–-33.

25. W. Guo, J. Huang, Z. Tao, and Y. Cheng. “An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions”, Journal of Computational Physics, v436 (2021), 110294.

24. Z. Tao, J. Huang, Y. Liu, W. Guo, and Y. Cheng, “An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations”, Communications on Applied Mathematics and Computation, (2021)

23. J. Huang, Y. Liu, W. Guo, Z. Tao, and Y. Cheng, “An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form”, Journal of Scientific Computing, v85 (2020).

22. M. Ding, X. Cai, W. Guo, and J.-M. Qiu, “A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion-reaction equations”, Journal of Computational Physics, v409 (2020), 109295.

21. A. Christlieb, W. Guo, Y. Jiang, and H. Yang, “Kernel based high order ``explicit’’ A-stable scheme for nonlinear degenerate advection-diffusion equations”, Journal of Scientific Computing, v82 (2020).

20. Z. Tao, W. Guo, and Y. Cheng, “Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system”, Journal of Computational Physics: X, v3 (2019), 100022.

19. A. Christlieb, W. Guo, Y. Jiang, and H. Yang, “A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws”, Journal of Computational Physics, v380 (2019), pp.334–354.

18. A. Christlieb, W. Guo, and Y. Jiang, “A kernel based high order explicit’’ unconditionally stable scheme for time dependent Hamilton-Jacobi equations”, Journal of Computational Physics, v379 (2019), pp.214–236.

17. X. Cai, W. Guo, and J.-M. Qiu, “A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting”, Journal of Scientific Computing, v79 (2019), pp.1111–1134.

16. G. Ke and W. Guo, “An alternative formulation of discontinuous Galerkin schemes for solving Hamilton-Jacobi equations”, Journal of Scientific Computing, v78 (2019), pp.1023–1044.

15. X. Cai, W. Guo, and J.-M. Qiu, “A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting”, Journal of Computational Physics, v354 (2018), pp.529–551.

14. W. Guo, and Y. Cheng, “An adaptive multiresoluton discontinuous Galerkin method for time-dependent transport equations in multi-dimensions”, SIAM Journal on Scientific Computing, v39 (2017), pp.A2962–A2992.

13. X. Cai, W. Guo, and J.-M. Qiu, “A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations”, Journal of Scientific Computing, v73 (2017), pp.514–542.

12. Y. Cheng, A. Christlieb, W. Guo, and B. Ong, “An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics”, Journal of Scientific Computing, v71 (2017), pp.959–993.

11. A. Christlieb, W. Guo, and Y. Jiang, “A WENO-based method of lines transpose approach for Vlasov simulations”, Journal of Computational Physics, v327 (2016), pp.337–367.

10. W. Guo and Y. Cheng, “A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations”, SIAM Journal on Scientific Computing, v38 (2016), pp. A3381–A3409.

9. W. Guo, G. Lin, A. Christlieb and J.-M. Qiu, “An adaptive WENO collocation method for differential equations with random coefficients”, MDPI, Special Issue “New Trends in Applications of Orthogonal Polynomials and Special Functions”, 2016.

8. Z. Wang, Q. Tang, W. Guo and Y. Cheng, “Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations”, Journal of Computational Physics, v314 (2016), pp.244-263.

7. W. Guo, R. D. Nair and X.-H. Zhong, “An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere”, International Journal for Numerical Methods in Fluids, v81 (2015), pp.3-21.

6. W. Guo, J.-M. Qiu and J.-X. Qiu, “A new Lax-Wendroff discontinuous Galerkin method with superconvergence”, Journal of Scientific Computing, v65 (2015), pp.299-326.

5. A. Christlieb, W. Guo, M. Morton and J.-M. Qiu, “A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations”, Journal of Computational Physics, v267 (2014), pp.7-27.

4. W. Guo, R. D. Nair and J.-M. Qiu, “A conservative semi-Lagrangian discontinuous Galerkin method for transport equation on the cubed-sphere”, Monthly Weather Review, v142 (2014), pp.457-475.

3. W. Guo, X.-H. Zhong and J.-M. Qiu, “Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach”, Journal of Computational Physics, v235 (2013), pp.458-485.

2. W. Guo, and J.-M. Qiu, “Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation”, Journal of Computational Physics, v234 (2013), pp.108-132.

1. W. Guo, F. Li, and J.-X. Qiu, “Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations”, Journal of Scientific Computing, v47 (2011), pp.239–257.