Recycling Krylov subspaces for CFD applications. - Amit Amritkar; Eric de Sturler; Katarzyna Swirydowicz; Danesh K. Tafti; Kapil Ahuja (CoRR, 2015)

Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver. - Amit Amritkar; Eric de Sturler; Katarzyna Swirydowicz; Danesh K. Tafti; Kapil Ahuja (J. Comput. Phys., 2015)

GPU Acceleration of a High-Order Discontinuous Galerkin Incompressible Flow Solver. - Ali Karakus; Noel Chalmers; Kasia Swirydowicz; Timothy Warburton (CoRR, 2018)

Low synchronization GMRES algorithms. - Kasia Swirydowicz; Julien Langou; Shreyas Ananthan; Ulrike Meier Yang; Stephen J. Thomas (CoRR, 2018)

Acceleration of tensor-product operations for high-order finite element methods. - Kasia Swirydowicz; Noel Chalmers; Ali Karakus; Tim Warburton (Int. J. High Perform. Comput. Appl., 2019)

A GPU accelerated discontinuous Galerkin incompressible flow solver. - Ali Karakus; Noel Chalmers; Kasia Swirydowicz; Tim Warburton (J. Comput. Phys., 2019)

Low-synchronization orthogonalization schemes for s-step and pipelined Krylov solvers in Trilinos. - Ichitaro Yamazaki; Stephen J. Thomas; Mark Hoemmen; Erik G. Boman; Katarzyna Swirydowicz; James J. Elliott (PP, 2020)

A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic. - Ahmad Abdelfattah; Hartwig Anzt; Erik G. Boman; Erin C. Carson; Terry Cojean; Jack J. Dongarra; Mark Gates; Thomas Grützmacher; Nicholas J. Higham; Xiaoye Sherry Li; Neil Lindquist; Yang Liu 179; et al. (CoRR, 2020)

Scalability of high-performance PDE solvers. - Paul F. Fischer; Misun Min; Thilina Rathnayake; Som Dutta; Tzanio V. Kolev; Veselin Dobrev; Jean-Sylvain Camier; Martin Kronbichler 002; Timothy C. Warburton; Kasia Swirydowicz; Jed Brown (Int. J. High Perform. Comput. Appl., 2020)

Two-Stage Gauss-Seidel Preconditioners and Smoothers for Krylov Solvers on a GPU cluster. - Luc Berger-Vergiat; Brian Kelley; Sivasankaran Rajamanickam; Jonathan J. Hu; Katarzyna Swirydowicz; Paul Mullowney; Stephen J. Thomas; Ichitaro Yamazaki (CoRR, 2021)

A Hybrid Direct-Iterative Method for Solving KKT Linear Systems. - Shaked Regev; Naiyuan Chiang; Eric Darve; Cosmin G. Petra; Michael A. Saunders; Kasia Swirydowicz; Slaven Peles (CoRR, 2021)

ILUT Smoothers for Hybrid C-AMG with Scaled Triangular Factors. - Stephen J. Thomas; Arielle Carr; Kasia Swirydowicz; Marc Day (CoRR, 2021)

Neumann Series in GMRES and Algebraic Multigrid Smoothers. - Stephen J. Thomas; Arielle Carr; Paul Mullowney; Ruipeng Li; Kasia Swirydowicz (CoRR, 2021)

A survey of numerical linear algebra methods utilizing mixed-precision arithmetic. - Ahmad Abdelfattah; Hartwig Anzt; Erik G. Boman; Erin C. Carson; Terry Cojean; Jack J. Dongarra; Alyson Fox; Mark Gates; Nicholas J. Higham; Xiaoye S. Li; Jennifer A. Loe; Piotr Luszczek; et al. (Int. J. High Perform. Comput. Appl., 2021)

Efficient exascale discretizations: High-order finite element methods. - Tzanio V. Kolev; Paul F. Fischer; Misun Min; Jack J. Dongarra; Jed Brown; Veselin Dobrev; Tim Warburton; Stanimire Tomov; Mark S. Shephard; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; et al. (Int. J. High Perform. Comput. Appl., 2021)

Low synchronization Gram-Schmidt and generalized minimal residual algorithms. - Katarzyna Swirydowicz; Julien Langou; Shreyas Ananthan; Ulrike Meier Yang; Stephen J. Thomas (Numer. Linear Algebra Appl., 2021)

Post-Modern GMRES. - Stephen J. Thomas; Erin C. Carson; Miro Rozlozník; Arielle Carr; Kasia Swirydowicz (CoRR, 2022)

Low-synch Gram-Schmidt with delayed reorthogonalization for Krylov solvers. - Daniel Bielich; Julien Langou; Stephen J. Thomas; Kasia Swirydowicz; Ichitaro Yamazaki; Erik G. Boman (Parallel Comput., 2022)

Linear solvers for power grid optimization problems: A review of GPU-accelerated linear solvers. - Kasia Swirydowicz; Eric Darve; Wesley B. Jones; Jonathan Maack; Shaked Regev; Michael A. Saunders; Stephen J. Thomas; Slaven Peles (Parallel Comput., 2022)

Design and Evaluation of GPU-FPX: A Low-Overhead tool for Floating-Point Exception Detection in NVIDIA GPUs. - Xinyi Li; Ignacio Laguna; Bo Fang 002; Katarzyna Swirydowicz; Ang Li 006; Ganesh Gopalakrishnan (HPDC, 2023)

Towards Efficient Alternating Current Optimal Power Flow Analysis on Graphical Processing Units. - Kasia Swirydowicz; Nicholson Koukpaizan; Shrirang Abhyankar; Slaven Peles (ICAT, 2023)

GPU-Resident Sparse Direct Linear Solvers for Alternating Current Optimal Power Flow Analysis. - Kasia Swirydowicz; Nicholson Koukpaizan; Tobias Ribizel; Fritz Göbel; Shrirang Abhyankar; Hartwig Anzt; Slaven Peles (CoRR, 2023)

HyKKT: a hybrid direct-iterative method for solving KKT linear systems. - Shaked Regev; Naiyuan Chiang; Eric Darve; Cosmin G. Petra; Michael A. Saunders; Kasia Swirydowicz; Slaven Peles (Optim. Methods Softw., 2023)

FTTN: Feature-Targeted Testing for Numerical Properties of NVIDIA & AMD Matrix Accelerators. - Xinyi Li; Ang Li 006; Bo Fang 002; Katarzyna Swirydowicz; Ignacio Laguna; Ganesh Gopalakrishnan (CCGrid, 2024)

Discovery of Floating-Point Differences Between NVIDIA and AMD GPUs. - Xinyi Li; Ang Li 006; Bo Fang 002; Katarzyna Swirydowicz; Ignacio Laguna; Ganesh Gopalakrishnan (CCGrid, 2024)

A Performance and Energy Study of GPU-Resident Preconditioners for Conjugate Gradient Solvers: In the Context of Existing and Novel Approaches. - Kasia Swirydowicz; Jesun Firoz; Joseph B. Manzano; Mahantesh Halappanavar; Stephen Thomas; Kevin J. Barker (SBAC-PAD, 2024)

Advanced Computing is at the Forefront of a New "Moonshot" Revolutionizing the North American Power Grid. - Christopher S. Oehmen; Slaven Peles; Katarzyna Swirydowicz; Cosmin G. Petra; Shrirang Abhyankar; Wesley B. Jones; Matthew Reynolds; Cameron Rutherford (Comput. Sci. Eng., 2024)

Iterated Gauss-Seidel GMRES. - Stephen J. Thomas; Erin C. Carson; Miroslav Rozlozník; Arielle Carr; Katarzyna Swirydowicz (SIAM J. Sci. Comput., 2024)

Iterative methods in GPU-resident linear solvers for nonlinear constrained optimization. - Kasia Swirydowicz; Nicholson Koukpaizan; Maksudul Alam; Shaked Regev; Michael A. Saunders; Slaven Peles (Parallel Comput., 2025)

Mixed-Precision Performance Portability of FFT-Based GPU-Accelerated Algorithms for Block-Triangular Toeplitz Matrices. - Sreeram Venkat; Kasia Swirydowicz; Noah Wolfe; Omar Ghattas (CoRR, 2025)