5 papers
Minimizing the Arithmetic and Communication Complexity of Jacobi's Method for Eigenvalues and Singular Values: Part Two -- Parallel Algorithms
James Demmel, Hengrui Luo, Ryan Schneider +1
This paper presents several parallel versions of Jacobi's method for the symmetric eigenvalue problem and the SVD. A continuation of [Demmel, Luo, Schneider, & Wang 2025], we devel…
Global classical solutions to a two-dimensional chemotaxis-fluid system involving signal-dependent degenerate diffusion
Yansheng Ma, Peter Y. H. Pang, Yifu Wang
This paper is concerned with the two-dimensional chemotaxis-fluid model \begin{equation*} \begin{cases} n_t+u\cdot\nabla n=Δ(nϕ(v))+μn(1-n),\\ v_t+u\cdot\nabla v=Δv-nv,\\ u_t+ κ(u\…
Minimizing the Arithmetic and Communication Complexity of Jacobi's Method for Eigenvalues and Singular Values: Part One -- Serial Algorithms
James Demmel, Hengrui Luo, Ryan Schneider +1
We analyze several versions of Jacobi's method for the symmetric eigenvalue problem. Our goal is to reduce the asymptotic cost of the algorithm as much as possible, as measured by…
Long time dynamics of the Cauchy problem for the predator-prey model with cross-diffusion
Chunhua Jin, Yifu Wang
This paper is concerned with a predator-prey model in -dimensional spaces (), given by \begin{align*}\left\{\begin{aligned} &\frac{\partial u}{\partial t}=Δu-χ\nabla\…
Small-mass solutions in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with indirect nutrient consumption
Ai Huang, Peter Y. H. Pang, Yifu Wang
This paper is concerned with the singular chemotaxis-fluid system with indirect nutrient consumption: $ n_{t}+u\cdot\nabla n=Δn-\nabla\cdot(n S(x,n,v)\cdot \nabla v);\ v_{t}+u\cdot…