Latest Research

Representing and computing the B-derivative of an $EC^r$ vector field's $PC^r$ flow

21 Feb 2021gcouncil-cmu/bderv

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

0
21 Feb 2021

Inferring the minimum spanning tree from a sample network

19 Feb 2021onnela-lab/mst

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

STATISTICS THEORY APPLICATIONS STATISTICS THEORY

0
19 Feb 2021

Distribution-Free Conditional Median Inference

16 Feb 2021dhruvm2/conditional-median-inference

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

0
16 Feb 2021

Analysis of nested multilevel Monte Carlo using approximate Normal random variables

16 Feb 2021oliversheridanmethven/nested_mlmc_analysis

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

NUMERICAL ANALYSIS NUMERICAL ANALYSIS

0
16 Feb 2021

A linear input dependence model for interdependent networks

10 Feb 2021adam-rumpf/mcnfli-trials

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)

0
10 Feb 2021

High-Frequency Instabilities of a Boussinesq-Whitham System: A Perturbative Approach

9 Feb 2021rpac5130/hptbw_isola

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

ANALYSIS OF PDES

0
09 Feb 2021

A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids

3 Feb 2021andrewgiuliani/PyDGSRD-1D

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

NUMERICAL ANALYSIS NUMERICAL ANALYSIS

0
03 Feb 2021

Electrodeless electrode model for electrical impedance tomography

3 Feb 2021record/4475524

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

0
03 Feb 2021

Robust Data-Driven Discovery of Partial Differential Equations under Uncertainties

31 Jan 2021ymlasu/PSI-PDE

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

2
31 Jan 2021

A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property

25 Jan 2021tristanmontoya/GHOST

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

2
25 Jan 2021