activity
20092023
most citedOptimal sampling rates for approximating analytic functions from pointwise samples

4 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2023

Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks

Luke S. Baker, Sachin Shivakumar, Dieter Armbruster +2

We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We…

math.OC2022

Optimal Control of Transient Flows in Pipeline Networks with Heterogeneous Mixtures of Hydrogen and Natural Gas

Luke Baker, Saif R. Kazi, Rodrigo B. Platte +1

We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constit…

math.NA2019★ 2 cited

Fourier Analysis, Computing, and Image Formation for Spotlight Synthetic Aperture Radar

Toby Sanders, Christian Dwyer, Rodrigo B. Platte

This article is written to serve as an introduction and survey of imaging with synthetic aperture radar (SAR). The reader will benefit from having some familiarity with harmonic an…

math.NA2017

Multiscale Higher Order TV Operators for L1 Regularization

Toby Sanders, Rodrigo B. Platte

In the realm of signal and image denoising and reconstruction, regularization techniques have generated a great deal of attention with a multitude of variants. A key compo…

math.NA2016★ 4 cited

Optimal sampling rates for approximating analytic functions from pointwise samples

Ben Adcock, Rodrigo Platte, Alexei Shadrin

We consider the problem of approximating an analytic function on a compact interval from its values at distinct points. When the points are equispaced, a recent result (the s…

math.NA2016

Recovering Fine Details from Under-Resolved Electron Tomography Data using HOTV Regularization

Toby Sanders, Anne Gelb, Rodrigo Platte +2

Over the last decade or so, reconstruction methods using regularization, often categorized as compressed sensing (CS) algorithms, have significantly improved the capabilit…

math.AP2009★ 1 cited

Blow-up criteria for the 3d cubic nonlinear Schrödinger equation

Justin Holmer, Rodrigo Platte, Svetlana Roudenko

We consider solutions to the 3d nonlinear Schrödinger equation . In particular, we are interested in finding criteria on the initial data t…