11 papers
Equivariant Continuous Normalizing Flows with Offline Sampling for Fermionic Ground State Estimation
Sam Cochran, James B. Larsen, Andrew Wray +3
We introduce a framework for fermionic variational Monte Carlo (VMC) in which a continuous normalizing flow (CNF) refines a fixed antisymmetric base wavefunction. The flow is imple…
A convergent finite element method for two-phase Stokes flow driven by surface tension
Genming Bai, Harald Garcke, Shravan Veerapaneni
We present the first convergence proof for an iso-parametric finite element discretization of two-phase Stokes flow in , , with interface dynamics go…
A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
Tianyue Li, Dhairya Malhotra, Shravan Veerapaneni
Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equ…
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Ke Wang, Zikang Jia, Shravan Veerapaneni +1
We develop a pivot-shifted Carleman linearization framework for quantum algorithms solving quadratic nonlinear ordinary differential equations. By shifting the dynamics by a pivot…
Squirmers with arbitrary shape and slip: modeling, simulation, and optimization
Kausik Das, Hai Zhu, Marc Bonnet +1
We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the bo…
Slip optimization on arbitrary 3D microswimmers: a reduced-dimension and boundary-integral framework
Marc Bonnet, Kausik Das, Shravan Veerapaneni +1
This article presents a computational framework for determining the optimal slip velocity of a microswimmer with arbitrary three-dimensional geometry suspended in a viscous fluid.…