atmospheric dynamics 1global well-posedness 1morning glory cloud 1nonlinear wave propagation 1strong solutions 1
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math.NA2026
A Fast and Accurate Solver for the Fractional Fokker-Planck Equation with Dirac-Delta Initial Conditions
Qihao Ye, Xiaochuan Tian, Dong Wang
The classical Fokker-Planck equation (FPE) is a key tool in physics for describing systems influenced by drag forces and Gaussian noise, with applications spanning multiple fields.…
math.NA2025
An Efficient Unconditionally Energy-Stable Numerical Scheme for Bose--Einstein Condensate
Jing Guo, Cheng Wang, Dong Wang
A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange mu…
math.NA2025
Efficient and stable diffusion generated methods for ground state computation in Bose--Einstein condensates
Jing Guo, Yongyong Cai, Dong Wang
This paper investigates numerical methods for approximating the ground state of Bose--Einstein condensates (BECs) by introducing two relaxed formulations of the Gross--Pitaevskii e…