19 citations · 53 across the 16 of their papers we have counts for
4 papers · 1 filter
Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation
Federico Izzo, Yimin Zhong, Olof Runborg +1
In this paper, we solve the linearized Poisson-Boltzmann equation, used to model the electric potential of macromolecules in a solvent. We derive a corrected trapezoidal rule with…
Convergence of a class of high order corrected trapezoidal rules
Federico Izzo, Olof Runborg, Richard Tsai
We present convergence theory for corrected quadrature rules on uniform Cartesian grids for functions with a point singularity. We begin by deriving an error estimate for the punct…
High order corrected trapezoidal rules for a class of singular integrals
Federico Izzo, Olof Runborg, Richard Tsai
We present a family of high order trapezoidal rule-based quadratures for a class of singular integrals, where the integrand has a point singularity. The singular part of the integr…
Side Effects of Learning from Low-dimensional Data Embedded in a Euclidean Space
Juncai He, Richard Tsai, Rachel Ward
The low-dimensional manifold hypothesis posits that the data found in many applications, such as those involving natural images, lie (approximately) on low-dimensional manifolds em…