2 citations · 2 across the 7 of their papers we have counts for
7 papers
Mesh-Uniform Power Stability of Two-Relaxation-Time Vector Lattice Boltzmann Schemes with Reversible Boundaries
Jin Zhao
We consider the collision-transport operator for vector-valued two-relaxation-time lattice Boltzmann schemes linearized about a uniform rest state. Assume that the equilibrium bloc…
Evo-GTransNet for Parabolic PDEs: A Fixed-Feature Galerkin Method of Lines with Quadrature-Mass Orthonormalization
Lili Ju, Jin Zhao
In this paper, we develop an evolutionary generalized transferable neural network (Evo-GTransNet) solver for parabolic partial differential equations, formulated as a retained-spac…
Convergence analysis of a MAC scheme for the barotropic Euler system
Bangwei She, Congying Wang, Jin Zhao
We study a Marker-and-Cell (MAC) scheme for the barotropic Euler system. First, we apply the recently developed Lax-type convergence theorem to show the convergence of the MAC sche…
Guided Flow Matching for Forward and Inverse PDE Problems with Sparse Observations: Algorithm and Theory
Xifeng Zhang, Jin Zhao
Reconstructing PDE solutions from sparse observations is a core challenge in scientific computing. We present FM4PDE, a flow-matching generative framework that learns the joint dis…
Shifted Matrix-Sign Reflectors for Prescribed-Index Eigenspace Reflection
Jin Zhao
Spectral projectors and the reflectors derived from them are basic objects in numerical linear algebra. This paper studies the prescribed-index reflector I-2P_k, where P_k is the s…
Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation
Chuang Zhang, Samuel Huberman, Xinliang Song +3
Mesoscopic numerical simulation has become an important tool in thermal management and energy harvesting at the micro/nano scale, where the Fourier's law failed. However, it is not…
Modeling Heat Conduction with Dual-Dissipative Variables: A Mechanism-Data Fusion Method
Leheng Chen, Chuang Zhang, Jin Zhao
Many macroscopic non-Fourier heat conduction models have been developed in the past decades based on Chapman-Enskog, Hermite or other small perturbation expansion methods. These ma…