Papers

• Stephen Thomas, Arielle Carr, Paul Mullowney, Kasia Świrydowicz, Marc Day. Scaled ILU Smoothers for Navier-Stokes Pressure Projection. International Journal for Numerical Methods in Fluids (to appear). Draft Available: arXiv preprint: arXiv:2111.09512.
• Stephen Thomas, Erin Carson, Miro Rozlozik, Arielle Carr, Kasia Świrydowicz. Iterated Gauss-Seidel GMRES. SIAM Journal on Scientific Computing (2023). Available here.
• Arielle Carr, Eric de Sturler, Mark Embree. Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix. Proceedings in Applied Mathematics and Mechanics (2023). Draft Available: arXiv preprint arXiv:2210.12053.
• Mohammadhossein Mohammadisiahroudi, Zeguan Wu, Brandon Augustino, Arielle Carr, Tamás Terlaky. Quantum-enhanced Regression Analysis using State-of-the-art QLSAs and QIPMs. ACM/IEEE Workshop on Quantum Computing (2022).
• Eric Enouen, Katja Mathesius, Sean Wang, Arielle Carr, Sihong Xie. Efficient First-Order Predictor-Corrector Multiple Objective Optimization for Fair Misinformation Detection. IEEE International Conference on Big Data (2022). Draft Available: arXiv preprint arXiv:2209.07245.
• Sean Wang, Arielle Carr, Sihong Xie. A Predictor-Corrector Method for Multi-objective Optimization in Fair Machine Learning. REU Symposium, IEEE/ACM International Conference on Big Data Computing, Applications, and Technologies (BDCAT 2022).
• Arielle Carr, Eric de Sturler, Serkan Gugercin. Preconditioning Parametrized Linear Systems SIAM Journal on Scientific Computing (2021). Available here.
• Arielle Carr, Eric de Sturler. A Warm-Started Krylov-Schur Method for Solving Sequences of Eigenproblems. (In prepartion - Password protected pdf available here. An older version is also available in my thesis, see Chapter 3.)

Chapters

• Arielle Carr. "The Power of Productive Struggle." in Teaching Gradually: Practical Pedagogy for Graduate Students, by Graduate Students (2021). (Password protected pdf available here.)

Invited Talks and Lectures

• Gene Golub SIAM Summer School on Quantum Computing and Optimization, Quantum Linear Algebra, Lehigh University, Bethlehem, PA, USA, August 2023.
• SIAM Conference on Computational Science and Engineering, Schwarz Smoothers for Pressure Projection in Low-Mach Navier-Stokes Combustion Models, Amsterdam, The Netherlands, February 2023 (minisymposium co-organizer, co-author).
• SIAM Annual Meeting, Recycling Invariant Subspaces for Sequences of Eigenproblems, Pittsburgh, PA, USA, July 2022 (minisymposium co-organizer).
• SIAM Annual Meeting, Analysis of a Warm-Start Krylov-Schur Method, Pittsburgh, PA, USA, July 2022 (co-author).
• SIAM Conference on Parallel Processing for Scientific Computing, Novel Solver Algorithms for Nearly Singular Linear Systems Arising in Combustion Modelling, Seattle, WA, USA (virtual), February 2022 (co-author).
• Laboratory for Applied Mathematics, Numerical Software, and Statistics (LANS) Seminar, Krylov Subspace Recycling for a Sequence of Eigenproblems, Argonne National Laboratory, Chicago, IL, USA (virtual), May 2021.
• SIAM Conference on Computational Science and Engineering, Combining Preconditioner Updates with Krylov Subspace Recycling for Sequences of Linear Systems, Spokane, WA, USA, February 2019.

Contributed Presentations and Posters

• Rishad Islam, Arielle Carr. Mid-Atlantic Numerical Analysis Day, Analysis of the Exact and Approximate Map for Linear Systems Arising in Discretized PDEs (poster), Temple University, Philadelphia, PA, November 2023.
• GAMM 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Analysis of Low-Rank and Small-in-Norm Perburbations of the Identity Matrix, Aachen, Germany, August 2022.
• Copper Mountain Conference on Iterative Methods, A Warm-Started Krylov-Schur Algorithm for Computing Sequences of Eigenproblems, Copper Mountain, CO, USA (virtual), April 2022.
• Copper Mountain Conference on Iterative Methods, ILU Smoothers for C-AMG with Scaled Triangular Factors, Copper Mountain, CO, USA (virtual), April 2022 (co-author).
• Copper Mountain Conference on Iterative Methods, Post-Modern GMRES, Copper Mountain, CO, USA (virtual), April 2022 (co-author).
• Society for Industrial and Applied Mathematics (SIAM) Conference on Applied Linear Algebra, An Exploratory Analysis of Sparsity Patterns When Updating Preconditioners, New Orleans, LA, USA (virtual), May 2021 (session chair).
• SIAM Conference on Computational Science and Engineering, Krylov Subspace Recycling for Computing Invariant Subspaces of Sequences of Linear Systems} (poster, virtual), March 2021.
• Applied Numerical Analysis Seminar, Krylov Subspace Recycling for Computing Invariant Subspaces of Sequences of Linear Systems, Blacksburg, VA, USA (virtual), March 2021.
• Mid-Atlantic Numerical Analysis Day, An Inexact Krylov-Schur Algorithm for Computing Invariant Subspaces, Temple University, Philadelphia, PA, USA, November 2019.
• Mid-Atlantic Numerical Analysis Day, Combining Preconditioner Updates with Krylov Subspace Recycling, Temple University, Philadelphia, PA, USA, November 2018.
• SIAM Annual Meeting, Recycling Preconditioners and Subspaces Portland, OR, July 2018.
• International Conference On Preconditioning Techniques For Scientific And Industrial Applications, Recycling Preconditioners and Subspaces for Sequences of Linear Systems, Vancouver, Canada, August 2017.
• Applied Numerical Analysis Seminar, Blacksburg, VA, USA, March 2017.
• SIAM Annual Meeting, Recycling Preconditioners and Subspaces, Boston, MA, July 2016.
• SIAM Student Chapter Seminar, Blacksburg, VA, USA, April 2016.
• SIAM Conference on Applied Linear Algebra, Reusing and Recycling Preconditioners for Sequences of Matrices, Atlanta, GA, USA, October 2015, (session chair).
• Master's Thesis Defense, Blacksburg, VA, USA, May 2015.
• Matrix Computations Seminar, Blacksburg, VA, USA, April 2015.
• SIAM Annual Meeting, Recycling and Updating Preconditioners for Sequences of Linear Systems, Chicago, IL, USA, July 2014.
• SIAM Student Chapter Seminar, Blacksburg, VA, USA, December 2013.
• SIAM Conference on Computational Science and Engineering, Utilizing Slater Matrix Properties to Design Better Preconditioners for Quantum Monte Carlo Methods, Boston, MA, USA, March 2013.
• SIAM Conference on Applied Linear Algebra, Efficiently updating preconditioners in quantum Monte Carlo simulations, Valencia, Spain, June 2012.