4 citations · 9 across the 8 of their papers we have counts for
9 papers
Gregory Nested Picard Iteration Schemes for Open Quantum Systems Governed by the Lindblad Equation
Jiuhua Hu, Daniel Appelo, Yingda Cheng
Numerical simulation of quantum computing hardware and open quantum systems governed by the Lindblad equation is challenging due to the high dimensionality of the density matrix an…
Power laws in the sea ice floe size distribution: a stochastic theory
Samuel N. Stechmann, Jiuhua Hu, Brandon P. Montemuro +4
Sea ice is a complex system, and observations have shown that ice segments (i.e., floes) have a wide range of sizes, with a floe size distribution that follows a power law. However…
Arbitrary High Order Low-rank Completely Positive and Trace Preserving (CPTP) Schemes for Lindblad Equations with Time-dependent Hamiltonian
Jiuhua Hu, Daniel Appelo, Yingda Cheng
In this paper, we develop a framework for designing arbitrary high order low-rank schemes for the Lindblad equation with time-dependent Hamiltonians. Our approach is based on neste…
LEMDA: A Lagrangian-Eulerian Multiscale Data Assimilation Framework
Quanling Deng, Nan Chen, Samuel N. Stechmann +1
Lagrangian trajectories are widely used as observations for recovering the underlying flow field via Lagrangian data assimilation (DA). However, the strong nonlinearity in the obse…
Partially Explicit Time Discretization for Time Fractional Diffusion Equation
Jiuhua Hu, Anatoly Alikhanov, Yalchin Efendiev +1
Time fractional PDEs have been used in many applications for modeling and simulations. Many of these applications are multiscale and contain high contrast variations in the media p…
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media
Jiuhua Hu, Wing Tat Leung, Eric Chung +2
In this paper, we consider a parabolic problem with time-dependent heterogeneous coefficients. Many applied problems have coupled space and time heterogeneities. Their homogenizati…
Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains
Eric Chung, Jiuhua Hu, Sai-Mang Pun
In this paper, we consider the incompressible Stokes flow problem in a perforated domain and employ the constraint energy minimizing generalized multiscale finite element method (C…
Wavelet-based Edge Multiscale Parareal Algorithm for Parabolic Equations with Heterogeneous Coefficients
Guanglian Li, Jiuhua Hu
We propose in this paper the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm to efficiently solve parabolic equations with heterogeneous coefficients. This algorithm combin…
Homogenization of time-fractional diffusion equations with periodic coefficients
Jiuhua Hu, Guanglian Li
We consider the initial boundary value problem for the time-fractional diffusion equation with a homogeneous Dirichlet boundary condition and an inhomogeneous initial data $a(x)\in…