Publications and Preprints

  1. X. Cai, W. Guo, J-M Qiu, “A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations”, submitted.

  2. A. Christlieb, W. Guo, Y. Jiang, H. Yang, “A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws”, submitted.

  3. W. Guo and Y. Cheng, “An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multi-dimensions”, submitted.

  4. Y. Cheng, A. Christlieb, W. Guo, B. Ong, “An asymptotic preserving Maxwell solver resulting in the Darwin limit of electrodynamics”, Journal of Scientific Computing, accepted.

  5. A. Christlieb, W. Guo and Y. Jiang, “A WENO-based method of lines transpose approach for Vlasov simulations”, Journal of Computational Physics, accepted.

  6. 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, accepted.

  7. 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.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. 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.

  15. 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.