Research

Items by Freitag, Melina A

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Number of items: 24.

Book/s

Freitag, M. A., 2013. Large Scale Inverse Problems:Computational Methods and Applications in the Earth Sciences. Walter de Gruyter. (Radon Series on Computational and Applied Mathematics; 13)

Book Sections

Freitag, M. A. and Potthast, R. W. E., 2013. Synergy of inverse problems and data assimilation techniques. In: Cullen, M., Freitag, M. A., Kindermann, S. and Scheichl, R., eds. Large Scale Inverse Problems. Berlin: Walter de Gruyter. (Radon Series on Computational and Applied Mathematics; 13)

Articles

Freitag, M., Kürschner, P. and Pestana, J., 2016. GMRES convergence bounds for eigenvalue problems. Journal of Computational and Applied Mathematics

Jenkins, S., Smith, N., Budd, C. and Freitag, M., 2015. The effect of numerical model error on data assimilation. Journal of Computational and Applied Mathematics, 290, pp. 567-588. Item availability may be restricted.

Freitag, M. A. and Kürschner, P., 2015. Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. Numerical Linear Algebra with Applications, 22 (1), pp. 175-196.

Akinola, R. O., Freitag, M. A. and Spence, A., 2014. The computation of Jordan blocks in parameter-dependent matrices. IMA Journal of Numerical Analysis, 34 (3), pp. 955-976.

Akinola, R. O., Freitag, M. A. and Spence, A., 2014. The calculation of the distance to a nearby defective matrix. Numerical Linear Algebra with Applications, 21 (3), pp. 403-414.

Freitag, M. A., Spence, A. and Van Dooren, P., 2014. Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method. SIAM Journal On Matrix Analysis and Applications (SIMAX), 35 (2), pp. 619-635.

Freitag, M. A. and Spence, A., 2013. A new approach for calculating the real stability radius. BIT Numerical Mathematics, 54 (2), pp. 381-400.

Freitag, M. A., Nichols, N. K. and Budd, C. J., 2013. Resolution of sharp fronts in the presence of model error in variational data assimilation. Quarterly Journal of the Royal Meteorological Society, 139 (672), pp. 742-757.

Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. and Smith, N. D., 2013. The origin of power-law emergent scaling in large binary networks. Physica A: Statistical Mechanics and its Applications, 392 (4), pp. 1004-1027. Item availability may be restricted.

Freitag, M. A. and Spence, A., 2011. A Newton-based method for the calculation of the distance to instability. Linear Algebra and its Applications, 435 (12), pp. 3189-3205.

Budd, C., Freitag, M. A. and Nichols, N. K., 2011. Regularization techniques for ill-posed inverse problems in data assimilation. Computers and Fluids, 46 (1), pp. 168-173.

Freitag, M. A., Nichols, N. K. and Budd, C. J., 2010. L1-regularisation for ill-posed problems in variational data assimilation. PAMM - Proceedings in Applied Mathematics and Mechanics, 10 (1), 665 -668.

Freitag, M. A. and Spence, A., 2010. Shift-invert Arnoldi's method with preconditioned iterative solves. SIAM Journal On Matrix Analysis and Applications (SIMAX), 31 (3), pp. 942-969.

Freitag, M. A. and Morton, K. W., 2007. The Preissmann box scheme and its modification for transcritical flows. International Journal for Numerical Methods in Engineering, 70 (7), pp. 791-811.

Conference or Workshop Items

Freitag, M. and Spence, A., 2009. The calculation of the distance to instability by the computation of a Jordan block. In: Workshop on Linear and Nonlinear Eigenproblems for PDEs, 2009-08-10. Zurich: European Mathematical Society, pp. 274-275. (Oberwolfach Reports; 37/2009)

Thesis

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