Shift-Invert Arnoldi's Method with Preconditioned Iterative Solves. - Melina A. Freitag; Alastair Spence (SIAM J. Matrix Anal. Appl., 2009)

The calculation of the distance to a nearby defective matrix. - Richard O. Akinola; Melina A. Freitag; Alastair Spence (Numer. Linear Algebra Appl., 2014)

Calculating the HINFINITY-norm Using the Implicit Determinant Method. - Melina A. Freitag; Alastair Spence; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2014)

The effect of numerical model error on data assimilation. - S. E. Jenkins; C. J. Budd; Melina A. Freitag; N. D. Smith (J. Comput. Appl. Math., 2015)

Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. - Melina A. Freitag; Patrick Kürschner (Numer. Linear Algebra Appl., 2015)

GMRES Convergence Bounds for Eigenvalue Problems. - Melina A. Freitag; Patrick Kürschner; Jennifer Pestana (Comput. Methods Appl. Math., 2018)

A low-rank approach to the solution of weak constraint variational data assimilation problems. - Melina A. Freitag; Daniel L. H. Green (J. Comput. Phys., 2018)

Teaching of Computing to Mathematics Students: Programming and Discrete Mathematics. - Jack D. Betteridge; James H. Davenport; Melina A. Freitag; Willem Heijltjes; Stef Kynaston; Gregory Sankaran; Gunnar Traustason (CEP, 2019)

Numerical Linear Algebra in Data Assimilation. - Melina A. Freitag (CoRR, 2019)

Optimization based model order reduction for stochastic systems. - Martin Redmann; Melina A. Freitag (Appl. Math. Comput., 2021)

Conditioning analysis for discrete Helmholtz problems. - Adem Kaya; Melina A. Freitag (Comput. Math. Appl., 2022)

Sparse grid based Chebyshev HOPGD for parameterized linear systems. - Siobhán Correnty; Melina A. Freitag; Kirk M. Soodhalter (CoRR, 2023)

Time-Limited Balanced Truncation for Data Assimilation Problems. - Josie König; Melina A. Freitag (J. Sci. Comput., 2023)

POD-Galerkin reduced order models and physics-informed neural networks for solving inverse problems for the Navier-Stokes equations. - Saddam Hijazi; Melina A. Freitag; Niels Landwehr (Adv. Model. Simul. Eng. Sci., 2023)

Nonintrusive model order reduction for stochastic differential equations. - Melina A. Freitag; J. M. Nicolaus; Martin Redmann (CoRR, 2024)

Low-rank solutions to the stochastic Helmholtz equation. - Adem Kaya; Melina A. Freitag (J. Comput. Appl. Math., 2024)

Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion. - Thomas Mach; Melina A. Freitag (SIAM J. Matrix Anal. Appl., 2025)

Efficient Dynamic Image Reconstruction with motion estimation. - Toluwani Okunola; Mirjeta Pasha; Misha Elena Kilmer; Melina A. Freitag (CoRR, 2025)

Dimension and model reduction approaches for linear Bayesian inverse problems with rank-deficient prior covariances. - Josie König; Elizabeth Qian; Melina A. Freitag (CoRR, 2025)