Arielle K. Carr
Carr Lab on Applied Numerical Analysis (CLANA) at Lehigh University
Bio
I am an assistant professor at Lehigh University in the Computer Science and Engineering Department.
My research focus is in the fields of applied linear algebra, applied numerical analysis,
and scientific computing. I have extensive experience working with iterative methods for solving
large linear systems and eigenproblems. In particular, I work with Krylov subspace methods and
preconditioning techniques to develop novel and innovative algorithms within these fields in
an effort to achieve efficient and accurate solutions to practical problems.
Please see my research page for
more information on past and current projects. I earned my PhD in math from Virginia Tech in 2021,
where I studied the efficient solution of large linear systems and eigenproblems. I hold a BS
and MS in math with a minor in computer science from VT, as well as a BA in sociology
with a minor in education from Roanoke College. At Lehigh, I am a member of the
Quantum Computing and Optimization Lab,
the Scalable Systems and Software research group,
Lehigh Blockchain,
and the Institute for Data, Intelligent Systems, and Computation.
Recent News
For links to papers mentioned in news, please see my Research page, or visit my Google Scholar page.
- Congratulations to Alex Clevenger, Diep Luong, Luke Hale, and Michael Speckhart for winning the People's Choice Award at the CSE Capstone 2023 Poster Session for their development of open source numerical analysis software that serves, in part, as an educational tool for engineering students learning applied linear algebra and numerical methods (December 2023).
- Our paper, Scaled ILU Smoothers for Navier-Stokes Pressure Projection, was accepted to the International Journal for Numerical Methods in Fluids (November 2023).
- Congratulations to Ainara Garcia (Clemson), whose 2023 REU paper, Implementing Recycling Methods for Linear Systems in Python with an Application to Multiple Objective Optimization, was accepted to the 2023 Symposium for Undergraduate Research in Data Science, Systems, and Security, to be held at the22nd International Conference on Machine Learning and Applications (September 2023).
- Our paper, Iterated Gauss-Seidel GMRES, has officially published in the SIAM Journal of Scientific Computing and is featured in the Copper Mountain Special Section (July 2023).
- In addition to co-organizing the event, I will be an invited lecturer at the 2023 Gene Golub SIAM Summer School on Quantum Computing and Optimization at Lehigh. My lectures will focus on quantum linear algebra (July 2023).
- Our paper, Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix, has officially published online in the Proceedings in Applied Mathematics and Mechanics (March 2023).
- Our paper, Iterated Gauss-Seidel GMRES, has been accepted for publication in the SIAM Journal of Scientific Computing (March 2023).
- Congratulations to QCOL faculty for our successful proposal to host the 2023 Gene Golub SIAM Summer School at Lehigh University. The focus will be on Quantum Computing and Optimization (December 2022).
Important Announcements
- Undergraduate and masters students, are you looking for research opportunities? Research affords you the opportunity to learn outside of the constraints of a course, or textbook, or homework assignment. It provides you with valuable experience that ultimately supports a wide range of careers in both academia and industry. I have openings every semester for undergraduate and masters research. In all cases for Lehigh students, credit can be offered for work completed. In exceptional cases, students from any university may earn a competitive stipend. Projects will focus on important research initiatives such as developing and optimizing fast iterative solvers for high performance computing environments, understanding the translation of classical linear algebra to quantum linear algebra, building innovative data structures for linear algebra, and devising novel numerical methods for emerging technologies such as blockchain. If you are interested in working with my lab and my collaborating labs, reach out as soon as possible to ensure a spot for the semester. I currently have at least two openings for the Fall 2023 semester.
Contact Information
- arg318 AT lehigh DOT edu
- Room 314, Building C
- 113 Research Drive
- Mountaintop Campus
- Bethlehem, PA 18015
- Office phone: 610-758-6492