Abram Rodgers

Self Introduction

Hello, I’m Abram Rodgers. I’m a doctoral student in the Applied Mathematics department at UCSC. I work with Daniele Venturi on algorithms in linear algebra and numerical methods for differential equations. My UCSC contact info is akrodger ( a ) ucsc.edu

My specific research interests are:

  • High Performance Computing
  • Numerical Linear Algebra
  • Computational Differential Geomtry
  • High Dimensional Partial Differential Equations

Current Teaching

Past Teaching

Title School Term Link
Teaching assistant Spring 2018 https://courses.soe.ucsc.edu/courses/am129
Teaching assistant Fall 2019 https://courses.soe.ucsc.edu/courses/am214
Teaching assistant Winter 2020 https://courses.soe.ucsc.edu/courses/am147

Papers, Publications, Projects

Project Type Project Name Link
Paper (published) Stability analysis of hierarchical tensor methods for time-dependent PDEs https://arxiv.org/pdf/1908.09803.pdf (preprint)
Paper (under review) Step-truncation integrators for evolution equations on low-rank tensor manifolds https://arxiv.org/pdf/2008.00155.pdf (preprint)
Software Library htucker-mpi, a parallel computing toolbox for hierarchical tensors https://github.com/akrodger/htucker-mpi (source)