This paper concerns the first-order approximation of the piecewise-differentiable flow generated by a class of nonsmooth vector fields.

DYNAMICAL SYSTEMS SYSTEMS AND CONTROL SYSTEMS AND CONTROL

Minimum spanning trees (MSTs) are used in a variety of fields, from computer science to geography.

STATISTICS THEORY APPLICATIONS STATISTICS THEORY

We consider the problem of constructing confidence intervals for the median of a response $Y \in \mathbb{R}$ conditional on features $X = x \in \mathbb{R}^d$ in a situation where we are not willing to make any assumption whatsoever on the underlying distribution of the data $(X, Y)$.

STATISTICS THEORY METHODOLOGY STATISTICS THEORY

The multilevel Monte Carlo (MLMC) method has been used for a wide variety of stochastic applications.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS

We consider a linear relaxation of a generalized minimum-cost network flow problem with binary input dependencies.

OPTIMIZATION AND CONTROL 90C05 (PRIMARY), 90-08 (SECONDARY)

We analyze the spectral stability of small-amplitude, periodic, traveling-wave solutions of a Boussinesq-Whitham system.

ANALYSIS OF PDES

In this work, we propose a state redistribution method for high order discontinuous Galerkin methods on curvilinear embedded boundary grids.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS

Electrical impedance tomography is an imaging modality for extracting information on the interior structure of a physical body from boundary measurements of current and voltage.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS 35R30, 35J25, 65N21

A robust data-driven method is proposed in this study for identifying the governing Partial Differential Equations (PDEs) of a given system from noisy data.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS

Situating such components common to DG and FR methods within the context of the summation-by-parts property, a discrete analogue of integration by parts, we establish the algebraic equivalence of certain strong-form and weak-form discretizations, reinterpret and generalize existing connections between the DG and FR methods, and describe a unifying approach for the analysis of conservation and linear stability for methods within the present framework.

NUMERICAL ANALYSIS NUMERICAL ANALYSIS COMPUTATIONAL PHYSICS 65M12, 65M60, 65M70