2 citations · 2 across the 1 of their papers we have counts for
4 papers
Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh
Tian Qin, Alex Beatson, Deniz Oktay +2
Partial differential equations (PDEs) are often computationally challenging to solve, and in many settings many related PDEs must be be solved either at every timestep or for a var…
Computation of the Biot-Savart line integral with higher-order convergence using straight segments
Nick McGreivy, Caoxiang Zhu, Lee Gunderson +1
One common approach to computing the magnetic field produced by a filamentary current-carrying coil is to approximate the coil as a series of straight segments. The Biot-Savart fie…
Optimized finite-build stellarator coils using automatic differentiation
Nick McGreivy, Stuart R. Hudson, Caoxiang Zhu
A new stellarator coil design code is introduced that optimizes the position and winding pack orientation of finite-build coils. The new code, called FOCUSADD, performs gradient-ba…
Randomized Automatic Differentiation
Deniz Oktay, Nick McGreivy, Joshua Aduol +2
The successes of deep learning, variational inference, and many other fields have been aided by specialized implementations of reverse-mode automatic differentiation (AD) to comput…