2022 | Solution of Ill-posed Problems with Chebfun | A. Alqahtani, T. Mach, L. Reichel
Zeitschrift: Numerical Algorithms Band: submitted Link zum Preprint

2022 | Adaptive Cross Approximation for Tikhonov Regularization in General Form | Thomas Mach, Lothar Reichel, Marc Van Barel
Zeitschrift: Numerical Algorithms Band: submitted

2022 | Hyperbolic Embedding for Finding Syntax in BERT(short paper) | Temirlan Auyespek, Thomas Mach, Zhenisbek Assylbekov
Verlag: CEUR Workshop Proceedings Buchtitel: AIxIA 2021 Discussion Papers Seiten: 58-64 Link zur Publikation

2021 | New matrix function approximations and quadratue rules based on the Arnoldi process | Nasim Eshghi and Thomas Mach and Lothar Reichel
Zeitschrift: Journal of Computational and Applied Mathematics Link zur Publikation

2021 | Optimization based model order reduction for stochastic systems | M. Redmann, M.A. Freitag
Zeitschrift: Appl. Math. Comput., 398 Link zur Publikation

2020 | Inexact methods for the low-rank solution to large-scale Lyapunov equations | P. Kürschner, M.A. Freitag
Zeitschrift: BIT, 60:1221-1259 Link zur Publikation , Link zum Preprint

2020 | Numerical linear algebra in data assimilation | M.A. Freitag
Zeitschrift: GAMM Mitteilungen Link zur Publikation

2019 | Teaching of Computing to Mathematics Students: Programming and Discrete Mathematics | J. Betteridge, J.H. Davenport, M.A. Freitag, W. Heijtljes, S. Kynaston, G. Sankaran, G. Traustason
Zeitschrift: Proceedings of the 3rd Conference on Computing Education Practice, 12, 1-4 Link zur Publikation

2019 | Projection methods for weak constraint variational data assimilation | M.A. Freitag, D.L.H. Green

2018 | GMRES convergence bounds for eigenvalue problems | M.A. Freitag, P. Kürschner, J. Pestana
Zeitschrift: Comput. Methods Appl. Math. Seiten: 203-222 Band: 18(2) Link zur Publikation

2018 | Model reduction and approximation: theory and algorithms | M. A. Freitag
Zeitschrift: SIAM Rev. Seiten: 763–767 Band: 60(3) (review of book)

2018 | Balanced model order reduction for linear random dynamical systems driven by Lévy noise | M. Redmann, M.A. Freitag
Zeitschrift: To appear in J. Comput. Dyn. Link zum Preprint

2018 | A low-rank approach to the solution of weak constraint variational data assimilation problems | M.A. Freitag, D.L.H. Green
Zeitschrift: J. Comput. Phys. Seiten: 263-281 Band: 357 Link zur Publikation

2015 | Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration | M.A. Freitag, P. Kürschner
Zeitschrift: Numer. Linear Algebra Appl. Seiten: 175–196 Band: 22(1) Link zur Publikation

2015 | The effect of numerical model error on data assimilation | S.E. Jenkins, C.J. Budd, M.A. Freitag, N.D. Smith
Zeitschrift: J. Comput. Appl. Math. Seiten: 567 – 588 Band: 290 Link zur Publikation

2014 | A new approach for calculating the real stability radius | M.A. Freitag, A. Spence
Zeitschrift: BIT Verlag: Springer Seiten: 381-400 Band: 54(2) Link zur Publikation

2014 | Calculating the $H_\infty$-norm using the implicit determinant method | M.A. Freitag, A Spence, P. Van Dooren
Zeitschrift: SIAM J. Matrix Anal. Appl. Seiten: 619-635 Band: 35(2) Link zur Publikation

2014 | The computation of Jordan blocks in parameter-dependent matrices | R.O. Akinola, M.A. Freitag, A. Spence
Zeitschrift: IMA J. Numer. Anal. Verlag: Oxford University Press Seiten: 955-976 Band: 34(3) Link zur Publikation

2014 | The calculation of the distance to a nearby defective matrix | R.O. Akinola, M.A. Freitag, A. Spence
Zeitschrift: Numer. Linear Algebra Appl. Seiten: 403-414 Band: 21(3) Link zur Publikation

2013 | Large Scale Inverse Problems: Computational Methods and Applications in the Earth Sciences | M. Cullen, M.A. Freitag, S. Kindermann and R. Scheichl (Editors)
Reihe: Radon Series on Computational and Applied Mathematics, Vol. 13 Verlag: De Gruyter, Berlin Link zur Publikation

2013 | Synergy of inverse problems and data assimilation techniques. Large Scale Inverse Problems | M.A. Freitag, R.W.E Potthast
Zeitschrift: Radon Ser. Comput. Appl. Math. Verlag: De Gruyter Band: 13 (Preprint)

2013 | The Origin of Power-Law Emergent Scaling in Large Binary Networks | D.P. Almond, C.J. Budd, M.A. Freitag, G.W. Hunt, N.J. McCullen, N.D. Smith
Zeitschrift: Phys. A Seiten: 1004-1027 Band: 392(4) Link zur Publikation , Link zum Preprint

2013 | Resolution of sharp fronts in the presence of model error in variational data assimilation | M.A. Freitag, N.K. Nichols, C.J. Budd
Zeitschrift: Q. J. R. Meteorol. Soc. Seiten: 742-757 Band: 139 Link zur Publikation

2011 | A Newton-based method for the calculation of the distance to instability | M.A. Freitag, A. Spence
Zeitschrift: Linear Alg. Appl. Seiten: 3189-3205 Band: 435(12) Link zur Publikation

2011 | Regularization techniques for ill-posed inverse problems in data assimilation | M.A. Freitag, N.K. Nichols, C.J. Budd
Zeitschrift: Comput. & Fluids Seiten: 168-173 Band: 46(1) Link zur Publikation

2010 | L1-regularisation for ill-posed problems in variational data assimilation | M.A. Freitag, N.K. Nichols, C.J. Budd
Zeitschrift: PAMM Seiten: 665-668 Band: 10(1) Link zur Publikation

2009 | Shift-invert Arnoldi's method with preconditioned iterative solves | M.A. Freitag, A. Spence
Zeitschrift: SIAM J. Matrix Anal. Appl. Seiten: 942-969 Band: 31(3) Link zur Publikation

2009 | The calculation of the distance to instability by the computation of a Jordan block | M. Freitag (joint work with A. Spence)
Oberwolfach Report No. 37/2009. (Report)

2008 | Rayleigh quotient iteration and simplified Jacobi-Davidson with preconditioned iterative solves for generalised eigenvalue problems | M.A. Freitag, A. Spence, E. Vainikko
(Gzipped PostScript), (PDF)

2008 | The Impact of Multiplication Operators on the Ill-Posedness of Inverse Problems | Melina Freitag
168 pages, VDM Verlag Dr. Müller Aktiengesellschaft & Co. KG (2008). (Available online here)

2008 | Rayleigh Quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves | M.A. Freitag, A. Spence
Zeitschrift: Linear Alg. Appl. Verlag: Elsevier Seiten: 2049-2060 Band: 428(8-9) Link zur Publikation

2008 | A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems | M.A. Freitag, A. Spence
Zeitschrift: IMA J. Numer. Anal. Verlag: Oxford University Press Seiten: 522-551 Band: 28(3) Link zur Publikation

2007 | Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem | M.A. Freitag, A. Spence
Zeitschrift: Electron. Trans. Numer. Anal. Seiten: 40-64 Band: 28 Link zum Preprint

2007 | Inner-outer Iterative Methods for Eigenvalue Problems - Convergence and Preconditioning | M. A. Freitag
PhD Thesis, Department of Mathematical Sciences, University of Bath (2007). (Gzipped PostScript), (PDF)

2007 | The Preissmann box scheme and its modification for transcritical flows | M.A. Freitag, K. W. Morton
Zeitschrift: Internat. J. Numer. Methods Engrg. Verlag: Wiley Seiten: 791-811 Band: 70(7) Link zur Publikation

2007 | Convergence rates for inexact inverse iteration with application to preconditioned iterative solves | M.A. Freitag, A. Spence
Zeitschrift: BIT Verlag: Springer Seiten: 27-44 Band: 47(1) Link zur Publikation

2005 | Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems | M. Freitag, B. Hofmann
Zeitschrift: J. Inverse Ill-Posed Probl. Seiten: 123-148 Band: 13(2) Link zur Publikation

2004 | On the Influence of Multiplication Operators on the Ill-posedness of Inverse Problems | M. Freitag
Diplomarbeit, Fakultät für Mathematik, Technische Universität Chemnitz (2004). (Available online here)

2003 | Transcritical flow modelling with the Box Scheme | M. Freitag
MSc Thesis, Department of Mathematical Sciences, University of Bath (2003). (GZipped PostScript), (PDF)