Note that some of my early publications appear under my maiden name
Dixon.
Refereed papers
- Franco, N. B., McKee, S., and Dixon, J. A. (1983).
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A numerical solution of Lighthill's equation for the surface
temperature distribution of a projectile.
Mat. Aplic. Comp. 2, 257-271.
- Dixon, J. A. and McKee S. (1984).
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Repeated integral inequalities.
IMA J. Numer. Anal. 4, 99-107.
- Dixon, J. A. and McKee S. (1985).
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A unified approach to convergence analysis for discretization
methods for Volterra equations. IMA J. Numer. Anal. 5, 41-57.
- Dixon, J. A. (1985).
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On the order of the error in discretization methods for weakly
singular second kind Volterra equations with non-smooth
solutions. IMA J. Numer. Anal. 25, 624-634.
- Dixon, J. A., McKee, S., and Jeltsch, R. (1986).
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Convergence analysis of discretization methods for nonlinear
first kind Volterra integral equations.
Numerische Math. 49 67-80.
- Dixon, J. A. (1986).
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Generalized reducible quadrature methods for Volterra integral and
integro-differential equations.
J. Comput. Appl. Math. 16, 27-42.
- Dixon, J. A. and McKee, S. (1987).
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Weakly singular discrete Gronwall inequalities.
ZAMM 66, 535-544.
- Dixon, J. A. (1987).
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A nonlinear weakly singular Volterra integral equation arising from
a reaction-diffusion study in a small cell.
J. Comput. Appl. Math. 18, 289-305.
- Dixon, J. A. and McKee, S. (1988).
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On the exact order of convergence of discrete methods for Volterra-type
equations.
IMA J. Numer. Anal. 8, 511-515.
- Scott, J. A. (1988).
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A finite element model of heat transport in the human eye.
Physics in Medicine and Biology 33, 227-241.
- Scott, J. A. (1988).
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The computation of temperature rises in the human eye induced by
infra-red radiation. Physics in Medicine and Biology 33, 243-257.
- Duff, I. S., Reid, J. K., and Scott, J. A. (1989).
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The use of profile algorithms with a frontal code.
Inter. J. Numer. Meth. Engng., 28, 2555-2568.
- Duff, I. S., Gould, N. I. M., Reid, J. K., Scott, J. A.,
and Turner, K. (1991).
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The factorization of sparse symmetric indefinite equations.
IMA J. Numer. Anal. 11, 181-204.
- Duff, I. S. and Scott, J. A. (1993).
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Computing selected eigenvalues of sparse unsymmetric matrices using subspace
iteration.
ACM Trans. Math. Software 19, 137-159.
- Scott, J. A. (1995).
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An Arnoldi code for computing selected eigenvalues of sparse
real unsymmetric matrices.
ACM Trans. Math. Software 21, 423-475.
- Jones, S., Jumarhon, B., McKee, S., and Scott, J. A. (1996).
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A mathematical model of a biosensor.
J. Engng. Math., 30, 321-337.
- Duff, I. S. and Scott, J. A. (1996).
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The design of a new frontal code for solving sparse unsymmetric systems.
ACM Trans. Math. Softw., 22, 30-45.
- Scott, J. A. (1996).
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Element resequencing for use with a multiple front solver.
Inter. J. Numer. Meth. Engng., 39, 3999-4020.
- Gould, N. I. M. and Scott, J. A. (1998).
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On approximate inverse preconditioners.
SIAM Journal on Scientific Computing 19,
605-625.
- Cliffe, K. A., Duff, I. S. and Scott, J. A. (1998).
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Performance issues for frontal schemes on a cache-based high performance
computer.
Inter. J. Numer. Meth. Engng., 40, 127-143.
- Scott, J. A. (1999).
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On ordering elements for a frontal solver.
Communications in Numerical Methods in Engineering,
15, 309-323.
- Reid, J. K. and Scott, J. A. (1999).
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Ordering symmetric sparse matrices for small wavefront and profile.
Inter. J. Numer. Meth. Engng., 45, 1737-1755.
- Scott, J. A. (1999).
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A new row ordering strategy for frontal solvers.
Numer. Lin. Alg. Applics, 6, 1-23.
- Duff, I. S. and Scott, J. A. (1999).
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A frontal code for the solution of sparse positive-definite symmetric
systems arising from finite-element applications.
ACM Trans. Math. Softw., 25 404-424.
- Scott, J. A. (2000).
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Row ordering for frontal solvers in chemical process engineering.
Computers in Chemical Engineering, 24, 1865-1880.
- Scott, J. A. (2001).
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A parallel frontal solver for finite element applications.
Inter. J. Numer. Meth. Engng., 50, 1131-1144.
- Reid, J. K. and Scott, J. A. (2001).
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Reversing the row order for the row-by-row frontal solver.
Numer. Lin. Alg. Applics, 8, 1-6.
- Scott, J. A. (2001).
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Two-stage ordering for unsymmetric parallel row-by-row frontal
solvers.
Computers in Chemical Engineering, 25, 323-332.
- Scott, J. A. (2001).
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The design of a portable parallel frontal solver
for chemical process engineering problems.
Computers in Chemical Engineering, 25, 1699-1709.
- Hu, Y. K. and Scott, J. A. (2001).
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A multilevel algorithm for wavefront reduction.
SIAM J. Scientific Computing, 23, 1352-1375.
- Reid, J. K. and Scott, J. A. (2002).
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Implementing Hager's exchange methods for matrix profile reduction.
ACM Trans. Math. Softw., 28, 1-15.
- Scott, J. A. (2003).
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Parallel frontal solvers for large sparse linear systems.
ACM Trans. Math. Softw. 29, 395-417.
- Duff, I. S. and Scott, J. A. (2004).
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A parallel direct solver for large sparse highly unsymmetric
linear systems.
ACM Trans. Math. Softw., 30, 95-117.
- Gould, N. I. M. and Scott, J. A. (2004).
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A numerical evaluation of HSL packages for the direct
solution of large sparse, symmetric linear systems of equations.
ACM Trans. Math. Softw., 30, 300-325.
- Hu, Y. and Scott, J. A. (2005).
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Ordering techniques for singly bordered block diagonal
forms for unsymmetric parallel sparse direct solvers.
Numer. Lin. Alg. Applics, 12, 877-894.
- Duff, I. S. and Scott, J. A. (2005).
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Stabilized bordered block diagonal forms for parallel sparse solvers.
Parallel Computing, 31, 275-289.
- Scott, J. A. (2006).
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A frontal solver for the 21st century.
Commun. Numer. Meth. Engng, 22, 1015-1029 (published online April 2006).
- Reid, J. K. and Scott, J. A. (2006).
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Reducing the total bandwidth of a sparse unsymmetric matrix.
SIAM J. Matrix Analysis and Applications, 28, 805-821.
- Gould, N. I. M. and Hu, Y. and Scott, J. A. (2006).
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A numerical evaluation of sparse direct symmetric
solvers for the solution of large sparse, symmetric
linear systems of equations.
ACM Trans. Math. Softw., 33, Article 10, 32 pages.
- Hu, Y. and Scott, J. A. (2007).
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Experiences of sparse direct symmetric solvers.
ACM Trans. Math. Softw., Article 18, 28 pages.
- Reid, J. K. and Scott, J. A. (2009).
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An efficient out-of-core multifrontal solver
for large-scale unsymmetric element problems.
Inter. J. Numer. Meth. Engng, 77, 901-921.
- Reid, J. K. and Scott, J. A. (2009).
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HSL_OF01, a virtual memory system in Fortran.
ACM Trans. Math. Softw., 36, Article 5, 12 pages.
- Reid, J. K. and Scott, J. A. (2009).
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An out-of-core sparse Cholesky solver.
ACM Trans. Math. Softw., 36, Article 9, 36 pages.
- Dollar, H. S. and Scott, J. A. (2010).
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A note on fast approximate minimum degree orderings for matrices
with some dense rows. Numer. Lin. Alg. Applics., 17,
43-55.
- Hogg, J. D. and Scott, J. A. (2010).
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A fast and robust mixed precision solver for the solution
of sparse symmetric linear systems.
ACM Trans. Math. Softw., 37, Article 17, 24 pages.
- Scott, J. A. (2010).
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Scaling and pivoting in an out-of-core sparse direct solver.
ACM Trans. Math. Softw., 37, Article 19, 23 pages.
- Boyle, J., Mihajlovic, M. D. and Scott, J. A. (2010).
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HSL_MI20: an efficient AMG preconditioner for finite element
problems in 3D
Inter. J. Numer. Meth. Engng, 82, 64-98.
Articles in Edited Proceedings
- Dixon J. A. (1985).
-
A unified analysis of discretization methods for Volterra-type
equations. Constructive Methods for the Practical Treatment
of Integral Equations, editors G. Hammerlin and K. H. Hoffman,
Birkhauser Verlag, 244-255.
- Duff, I. S. and Scott, J. A. (1992).
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Computing selected eigenvalues of sparse unsymmetric matrices.
ERCIM Workshop Report ERCIM-92-W002, 53-59.
- Duff, I. S. and Scott, J. A. (1994).
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The use of multiple fronts in Gaussian elimination.
Proceedings of the Fifth SIAM Conference on Applied Linear
Algebra, editor J. Lewis, SIAM Press, 567-571.
- Duff, I. S. and Scott, J. A. (1998).
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A comparison of frontal software with other Harwell Subroutine Library
sparse direct solvers.
High Performance Solution to Structured
Matrix Problems, editors Arbenz, Paprzycki, Sameh, and Sarin.
- Duff, I. S. and Scott, J. A. (1999).
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MA62 - A frontal code for sparse positive-definite symmetric
systems from finite-element applications.
Innovative Computational Methods for Structural Mechanics,
editors M. Papadrakakis and B.H.V. Topping.
- Scott, J. A. (2000).
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Sparse direct methods: an introduction.
Electronic Structure and Physical Propoerties of Solids
editor H. Dreysee. Springer Verlag Lecture Notes in Physics.
- Scott, J. A. Hu, Y. and Gould, N. I. M. (2005).
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An evaluation of sparse direct
symmetric solvers: an introduction and preliminary findings.
PARA 2004 Conference Proceedings, Springer
Lecture Notes in Computer Science.
- Reid, J. K. and Scott, J. A. (2007).
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The design of a new out-of-core multifrontal solver.
PARA 2006 Conference Proceedings, Springer
Lecture Notes in Computer Science.