252 citations · 961 across the 42 of their papers we have counts for
43 papers
The rheology of ultra-high molecular weight poly(ethylene oxide) dispersed in a low molecular weight carrier
Craig D. Mansfield, Tianran Chen, Mubashir Q. Ansari +1
Gel spinning is the industrial method of choice for combining hydrophilic ultra-high molecular weight (UHMW) polymer resins with a hydrophobic support polymer to produce composite…
A stratified polyhedral homotopy method for sampling positive-dimensional zero sets of polynomial systems
Tianran Chen
Numerical algebraic geometry revolves around the study of solutions to polynomial systems via numerical methods. The polyhedral homotopy of Huber and Sturmfels for computing isolat…
Numerical Nonlinear Algebra
Daniel J. Bates, Paul Breiding, Tianran Chen +3
Numerical nonlinear algebra is a computational paradigm that uses numerical analysis to study polynomial equations. Its origins were methods to solve systems of polynomial equation…
On the typical and atypical solutions to the Kuramoto equations
Tianran Chen, Evgeniia Korchevskaia, Julia Lindberg
The Kuramoto model is a dynamical system that models the interaction of coupled oscillators. There has been much work to effectively bound the number of equilibria to the Kuramoto…
Lattice and magnetic dynamics in YVO Mott insulator studied by neutron scattering and first-principles calculations
Yu Tao, Douglas L. Abernathy, Tianran Chen +5
The Mott insulator YVO with = 118 K is revisited to explore the role of spin, lattice and orbital correlations across the multiple structural and magnetic transitions…
GPU-accelerated path tracker for polyhedral homotopy
Tianran Chen
The polyhedral homotopy method of Huber and Sturmfels is a particularly efficient and robust numerical method for solving system of (Laurent) polynomial equations. A central compon…