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Creators/Authors contains: "Yi, Nianyu"

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  1. ; ; ; (, Journal of Computational and Applied Mathematics)
    Free, publicly-accessible full text available July 1, 2026
  2. ; (, Numerical Algorithms)
    null (Ed.)
    In this paper, we construct, analyze, and numerically validate conservative discontinuous Galerkin (DG) schemes for approximating the Schr\"{o}dinger-Poisson equation. The proposed schemes all satisfy both mass and energy conservation. For the semi-discrete DG scheme optimal $L^2$ error estimates are obtained. Efficient iterative solvers are also constructed to solve the second order implicit time discretization. A number of numerical tests are presented to demonstrate the method’s accuracy and robustness, confirming that both mass and energy are well preserved over long time simulations. 
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  3. ; ; (, SIAM Journal on Scientific Computing)
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  4. ; (, Communications in Computational Physics)
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  5. ; ; ; (, IMA Journal of Numerical Analysis)
    Full Text Available