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math.NA2022
Accelerated numerical algorithms for steady states of Gross-Pitaevskii equations coupled with microwaves
Di Wang, Qi Wang
We present two accelerated numerical algorithms for single-component and binary Gross-Pitaevskii (GP) equations coupled with microwaves (electromagnetic fields) in steady state. On…
math.NA2020
An energy-based discontinuous Galerkin method for semilinear wave equations
Daniel Appelo, Thomas Hagstrom, Qi Wang +1
We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] to second-order semilinear wave equations. A stability and con…