Items by Freitag, Melina A
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Freitag, M. A., 2008. The Impact of Multiplication Operators on the Ill-Posedness of Inverse Problems. Germany: VDM Verlag.
Freitag, M. and Spence, A., 2009. The calculation of the distance to instability by the computation of a Jordan block. In: Linear and Nonlinear Eigenproblems for PDEs. Zurich: European Mathematical Society, pp. 274-275. (Oberwolfach Reports; 37/2009)
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.
Freitag, M. A., Nichols, N. K. and Budd, C. J., 2013. Forthcoming. Resolution of sharp fronts in the presence of model error in variational data assimilation. Quarterly Journal of the Royal Meteorological Society
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 Spence, A., 2008. Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves. Linear Algebra and its Applications, 428 (8-9), pp. 2049-2060.
Freitag, M. A. and Spence, A., 2008. A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems. IMA Journal of Numerical Analysis, 28 (3), pp. 522-551.
Freitag, M. and Spence, A., 2007. Convergence of inexact inverse iteration with application to preconditioned iterative solves. BIT Numerical Mathematics, 47 (1), pp. 27-44.
Freitag, M. and Spence, A., 2007. Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. Electronic Transactions on Numerical Analysis, 28, pp. 40-67.
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.
Freitag, M. A. and Hofmann, B., 2005. Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems. Journal of Inverse and Ill-posed Problems, 13 (2), pp. 123-148.
Freitag, M., 2007. Inner-outer Iterative Methods for Eigenvalue Problems - Convergence and Preconditioning. Thesis (Doctor of Philosophy (PhD)). University of Bath.