Items by Spence, Alastair
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2012
Elman, H. C., Meerbergen, K., Spence, A. and Wu, M., 2012. Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. SIAM Journal on Scientific Computing, 34 (3), A1584-A1606.
2011
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.
2010
Meerbergen, K. and Spence, A., 2010. Inverse iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large-scale problems. SIAM Journal On Matrix Analysis and Applications (SIMAX), 31 (4), pp. 1982-1999.
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.
2009
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)
Robbé, M., Sadkane, M. and Spence, A., 2009. Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems. SIAM Journal On Matrix Analysis and Applications (SIMAX), 31 (1), pp. 92-113.
2008
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.
2007
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.
Spence, A., 2007. Is the transcript from the overlapping region of two converging genes part of either gene? BMC Systems Biology, 1 (Suppl), 11-.
2006
Berns-Muller, J. and Spence, A., 2006. Shift for nonsymmetric generalised eigenvalue problems. SIAM Journal On Matrix Analysis and Applications (SIMAX), 28 (4), pp. 1069-1082.
Berns-Müller, J., Graham, I. G. and Spence, A., 2006. Inexact inverse iteration for symmetric matrices. Linear Algebra and its Applications, 416 (2-3), pp. 389-413.
Mitchell, S., Morton, K. and Spence, A., 2006. Analysis of box schemes for reactive flow problems. SIAM Journal on Scientific Computing, 27 (4), pp. 1202-1225.
2005
Spence, A. and Poulton, C., 2005. Photonic band structure calculations using nonlinear eigenvalue techniques. Journal of Computational Physics, 204 (1), pp. 65-81.
Spence, A. and Poulton, C., 2005. Photonic band structure calculations using nonlinear eigenvalue techniques. Journal of Computational Physics, 204, 65--81.
2004
Peterson, M. E., Eisenthal, R., Danson, M. J., Spence, A. and Daniel, R. M., 2004. A new intrinsic thermal parameter for enzymes reveals true temperature optima. Journal of Biological Chemistry, 279, 20717--20722.
2003
Spence, A. and Poulton, C. G., 2003. Inverse Iteration for Nonlinear Eigenvalue Problems in Electromagnetic Scattering. In: Movchan, A. B., ed. IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003-12-01, Dordrecht.
Graham, I. G., Spence, A. and Vainikko, E., 2003. Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Concurrency and Computation-Practice & Experience, 15 (11-12), pp. 1151-1168.
2002
Spence, A., 2002. Eigenvalue and Parameter Estimation at Hopf Bifurcation. In: Estep, D. and Tavener, S. J., eds. Collected Lectures on the Preservation of Stability under discretization, 2002-01-01, Philadelphia.
Graham, I. G., Spence, A. and Vainikko, E., 2002. Parallel iterative methods for Navier-Stokes equations and application to stability assessment. In: Euro-Par 2002 Parallel Processing, Proceedings. Vol. 2400. , pp. 705-714. (Lecture Notes in Computer Science)
