Kelmanson, M.A. and Tenwick, M.C., Error reduction in Gauss-Jacobi Nyström quadrature for Fredholm integral equations of the second kind, CMES, accepted to appear, 20pp., 2010.

Groh, C.M. and Kelmanson, M.A., Multiple-timescale asymptotic analysis of transient coating flows, Phys. Fluids, 21(9), 091702, 2009.

Kelmanson, M.A. and Tenwick, M.C., A modified orthogonal-polynomial Nyström method for Fredholm integral equations of the second kind, Proc. 7th UK Conference on Boundary-Integral Methods (Nottingham, UK), ISBN 978-0-9563221-0-4, 181-192, 2009.

Kelmanson, M.A., On inertial effects in the Moffatt-Pukhnachov coating-flow problem, J. Fluid Mech., 633, 327-354, 2009.

Kelmanson, M.A., Pseudo-three-timescale approximation of exponentially modulated free-surface waves, J. Fluid Mech., 625, 435-443, 2009.

Groh, C. M. and Kelmanson, M.A., Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind, J. Integral Equations and Applics., 20(4), 481-505, 2008.

Harvie, D., Kelmanson, M.A. and Knapp, D.G., A dynamical model of business-cycle asymmetries: extending Goodwin, Economic Issues, 12(1), 53-92, 2007.

Das, C., Read, D.J., Kelmanson, M.A. and McLeish, T.C.B., Dynamic scaling in entangled mean-field gelation polymers, Phys. Review E, 74, 011404/1-011404/11, 2006.

Das, C., Inkson, N.J., Read, D.J., Kelmanson, M.A. and McLeish, T.C.B., Computational linear rheology of general branch-on-branch polymers, J. Rheology, 50, 207-235, 2006.

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. & Summers, J.L., Finite element simulations of three-dimensional free-surface flow problems, J. Sci. Computing , 24, 147-162, 2005.

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. & Summers, J.L., Adaptive finite element simulation of three-dimensional surface-tension-dominated free-surface-flow problems, ANZIAM J., 46(E), C101-C114, 2005. (Invited paper from CTAC2004 - 12th Biennial Computational Techniques and Applications Conference, University of Melbourne, 2004.)

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. & Summers, J.L., Finite element simulation of three-dimensional free-surface-flow problems with dynamic contact lines, Int. J. Numer. Meth. Fluids, 47, 1353-1359, 2005.

Kelmanson, M.A., Hypersingular boundary integrals in cusped two-dimensional free-surface flows, J. Fluid Mech., 514, 313-325, 2004.

Hinch, E.J., Kelmanson, M.A. & Metcalfe, P.D., Shock-like free-surface perturbations in low-surface-tension, viscous, thin-film flow exterior to a rotating cylinder,  Proc. Roy. Soc. Lond. Ser. A, 460, 2975-2991, 2004.

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A., Summers, J.L. & Wilson, M.C.T., On the calculation of normals in free-surface flow problems, Commun. Num. Meth. Engng., 20(5), 343-351, 2003.

Hinch, E.J. & Kelmanson, M.A., On the decay and drift of free-surface perturbations in viscous thin-film flow exterior to a rotating cylinder,  Proc. Roy. Soc. Lond. Ser. A, 459, 1193-1213, 2003.

Peterson, R.C., Jimack, P.K. & Kelmanson, M.A., On the stability of viscous, free-surface flow supported by a rotating cylinder,  Proc. Roy. Soc. Lond. Ser. A, 457, 1427-1445, 2001.

Kelmanson, M.A., A rapid zonal solver for polyelliptic PDEs in domains with high aspect ratio, Math. Comp. Modelling, 31, 45-59, 2000.

Bateson, L.E., Kelmanson, M.A. & Knudsen, C., Solution of a non-linear transcendental eigenvalue equation via interval analysis, Comp. Math. Applic., 38(7/8), 133-142, 1999.

Peterson, R.C., Jimack, P.K. & Kelmanson, M.A., The solution of two-dimensional free-surface problems using automatic mesh generation, Int. J. Numer. Meth. Fluids, 31(5), 937-960, 1999. 

Kelmanson, M.A. & Maunder, S.B., Modelling high-velocity impact phenomena with unstructured dynamically-adaptive Eulerian meshes, J. Mech. Phys. Solids, 47(4), 731-762, 1999. 

Kelmanson, M.A., A rapid boundary-element method for modelling viscous flow within asymptotically-thin gaps, Trans. ASME J. Trib., 120(4), 710-715, 1998. 

Peterson, R.C., Jimack, P.K. & Kelmanson, M.A., Automatic generation of finite-element meshes for evolving gas-liquid interfaces with arbitrary geometry, Numerical Methods in Fluid Dynamics, 6, (ICFD 1998, Oxford, U.K.), Oxford University Press, 467-473, 1998.

Decorps, S.A.M. & Kelmanson, M.A., A zonal boundary-element method for analysing heat exchangers with thin extended surfaces, Comp. Math. Applic., 33(8), 103-107, 1997. 

Kelmanson, M.A., Truncation errors in a 2-D hyperbolic PDE integration scheme, Math. Engng. Ind., 6(3), 171-183, 1997. 

Kelmanson, M.A., A fast BEM for steady 2-D viscous flow in thin-gap-bearing geometries, Proc. 1st UK Conference on Boundary-Integral Methods (Leeds, UK), ISBN 0 85316 179 8, 152-163, 1997. 

Lonsdale, B., Bloor, M.I.G. & Kelmanson, M.A., An iterative integral-equation method for 6th-order inhomogeneous PDEs., Proc. 11th International Conference on Boundary Element Technology (Hawaii), Computational Mechanics Publications, Section 8, 369-378, 1996. 

Kelmanson, M.A. & Lonsdale, B., Eddy genesis in the double-lid-driven cavity, Q. Jl. Mech. Appl. Math., 49(4), 635-655, 1996. 

Kelmanson, M.A., Theoretical and experimental analyses of the maximum-supportable fluid load on a rotating cylinder, J. Engng. Math., 29(3), 271-285, 1995. 

Kelmanson, M.A. & Lonsdale, B., Annihilation of boundary singularities via suitable Green's functions, Comp. Math. Applic., 29(4), 1-7, 1995. 

Hansen, E.B. & Kelmanson, M.A., Steady, viscous, free-surface flow on a rotating cylinder, J. Fluid Mech., 272, 91-107, 1994. 

Kelmanson, M.A., Theoretical and numerical investigations of steady, viscous, free-surface flow, Appl. Math. Lett., 7(2), 81-85, 1994. 

Hansen, E.B. & Kelmanson, M.A., An integral-equation justification of the boundary conditions of the driven-cavity problem, Computers and Fluids, 23(1), 225-240, 1994. 

Kelmanson, M.A., Error analysis of a 2-D Eulerian impact code, Defence Research Agency Working Paper D/ER1/9/4/2062/142/RARDE/6, 65pp., 1993.

Kelmanson, M.A., Maunder, S.B. & Cheng, S.Y., A Mathematica-based CAL matrix-theory tutor for scientists and engineers, Association for Learning Technology Journal, 1(2), 27-39, 1993.

Kelmanson, M.A., Unstructured rectangular adaptive-mesh generation for 2-D conservative schemes, Appl. Math. Lett., 6(2), 17-22, 1993.

Kelmanson, M.A., Implementation details of a 2-D Eulerian mesh preprocessor, Defence Research Agency Working Paper D/ER1/9/4/2062/142/RARDE/5, 48pp., 1992.

Hansen, E.B. & Kelmanson, M.A., Integral-equation analysis of the driven-cavity boundary singularity, Appl. Math. Lett., 5(3), 15-19, 1992.

Kelmanson, M.A., A menu-driven preprocessor for unstructured rectangular-mesh generation in adaptive 2-D Eulerian impact codes, Defence Research Agency Working Paper D/ER1/9/4/2062/142/RARDE/4, 44pp., 1991.

Kelmanson, M.A., Dynamically-adaptive rectangular meshes, Defence Research Agency Working Paper D/ER1/9/4/2062/142/RARDE/3, 29pp., 1991.

Kelmanson, M.A., On the solution structure of a non-linear transcendental eigenvalue equation, Dynamics and Stability of Systems, 4(3/4), 245-257, 1989.

Kelmanson, M.A., BEM solution of Oseen flow past a circular cylinder, Proc. 1st European Boundary Element Meeting (Brussels, Belgium), D.B.M., sprl., 2.39-2.49, 1989.

Kelmanson, M.A., Direct BEM solution of low-Reynolds number 2-D flows in infinite viscous media, Proc. 10th International Conference on Boundary Elements (Perth, Western Australia), Computational Mechanics Publications, 3, 141-151, 1988.

Kelmanson, M.A., On a bounded solution to a pair of coupled non-linear ordinary differential equations, Dynamics and Stability of Systems, 3(3/4), 147-157, 1988.

Kelmanson, M.A., A direct boundary-integral-equation formulation for the Oseen flow past a two-dimensional cylinder of arbitrary cross-section, Acta Mech., 68}, 99-119, 1987.

Ingham, D.B. & Kelmanson, M.A., A note on the comparison between BIE and FD techniques for solving elliptic BVPs with boundary singularities, Comm. Appl. Num. Meth., 2, 189-193, 1986.

Kelmanson, M.A., A consistency analysis for the numerical solution of boundary-integral equations, Appl. Num. Math., 1(5), 381-393, 1985.

Dunnett, S.J., Ingham, D.B., & Kelmanson, M.A., Boundary-integral-equation analysis of blunt-body sampling, Proc. 7th International Conference on Boundary Elements (Lake Como, Italy), Springer Verlag, 1, I/23-I/34, 1985.

Hildyard, M.L., Ingham, D.B., Heggs, P.J. & Kelmanson, M.A., Integral-equation analysis of viscous flow through a fibrous filter, Proc. 7th International Conference on Boundary Elements (Lake Como, Italy), Springer Verlag, 2, IX/81-IX/94, 1985.

Kelmanson, M.A., An asymptotic integral-equation method for the study of heat transfer in long, thin domains, Num. Heat Transfer, 8(2), 245-254, 1984.

Kelmanson, M.A., Solution of non-linear elliptic equations with boundary singularities by an integral-equation method, J. Comput. Phys., 56(2), 244-258, 1984.

Kelmanson, M.A., Boundary-integral-equation solution of slow flow in arbitrarily-shaped bearings, Trans. ASME J. Trib., 106(2), 260-264, 1984.

Ingham, D.B. & Kelmanson, M.A., (book) Boundary-Integral-Equation Analyses of Singular, Potential and Biharmonic Problems, Lecture Notes in Engineering, 7,pp.173+iv, (ed. C A Brebbia and S A Orszag), Springer Verlag, 1984.

Kelmanson, M.A., Boundary-Integral-Equation Analyses of Singular, Potential and Biharmonic Problems, PhD Thesis, Department of Applied Mathematics, University of Leeds, 1983.

Kelmanson, M.A., Integral-equation solution of viscous flows with free surfaces, J. Eng. Math., 17(4), 329-343, 1983.

Kelmanson, M.A., Modified-integral-equation solution of viscous flows near sharp corners, Comput. Fluids, 11(4), 307-324, 1983.

Ingham, D.B. & Kelmanson, M.A., Solution of non-linear elliptic equations with boundary singularities by an integral-equation method, Proc. 5th International Conference on Boundary Element Methods in Engineering (Hiroshima, Japan), Springer Verlag, 61-71, 1983.

Ingham, D.B. & Kelmanson, M.A., A boundary-integral-equation method for the study of slow flow within bearing geometries, Proc. 5th International Conference on Boundary Element Methods in Engineering (Hiroshima, Japan), Springer Verlag, 311-321, 1983.

Kelmanson, M.A., An integral-equation method for the solution of singular slow-flow problems, J. Comput. Phys., 51(1), 139-158, 1983.

Ingham, D.B. & Kelmanson, M.A., Modified-integral-equation solution of steady viscous flow in a bifurcating channel, Proc. 4th International Conference on Boundary Element Methods in Engineering (Southampton, U.K.), Springer Verlag, 218-230, 1982.