Publications and Further Research Outputs
Peer-Reviewed Publications
Victor F, Miller J.J.H, Sigamani V, Convergence of the Crank-Nicolson method for a singularly perturbed parabolic reaction-diffusion system, Springer Proceedings in Mathematics and Statistics, 2016, 172, 2016, pp77 - 97
Shivaranjani N, Miller J.J.H, Sigamani V, A parameter uniform numerical method for an initial value problem for a system of singularly perturbed delay differential equations with discontinuous source terms, Springer Proceedings in Mathematics and Statistics, 2016, 172, 2016, pp135 - 150
Miller J.J.H, Elementary tutorial on numerical methods for singular perturbation problems, Springer Proceedings in Mathematics and Statistics, 2016, 172, 2016, pp3 - 24
Manikandan M, Miller J.J.H, Sigamani V, A parameter-uniform first order convergent numerical method for a semi-linear system of singularly perturbed second order delay differential equations, Springer Proceedings in Mathematics and Statistics, 2016, 172, 2016, pp151 - 165
R.Ishwariya, J.Princy Merlin, J.J.H.Miller, S.Valarmathi,, A parameter uniform almost first order convergent numerical method for a non-linear system of singularly perturbed differential equations, Biomath, 5, 2016, p1608111-
Manikandan Mariappan, John J. H. Miller and Valarmathi Sigamani, A parameter-uniform first order convergent numerical method for a system of singularly perturbed second order delay differential equations, Lecture Notes in Computational Science and Engineering, 108, 2015, p183-195
Nagarajan S, Narasimhan R, Miller J.J.H, Sigamani V, A parameter uniform method for an initial value problem for a system of singularly perturbed delay differential equations, Springer Proceedings in Mathematics and Statistics, 2014, 87, 2014, pp127 - 138
Manikandan M, Shivaranjani N, Miller J, Valarmathi S, A parameter-uniform numerical method for a boundary value problem for a singularly perturbed delay differential equation, Springer Proceedings in Mathematics and Statistics, 2014, 87, 2014, pp71 - 88
N.Shivaranjani, J.J.H.Miller and S.Valarmathi, Robust numerical solutions of two singularly perturbed problems in Mathematical biology, Biomath Communications, 2014, p1-13
Franklin V, Miller J.J.H, Valarmathi S, Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system, Mathematical Communications, 19, (3), 2014, p469 - 495
Paramasivam M, Miller J.J.H, Valarmathi S, Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms, International Journal of Numerical Analysis and Modeling, 11, (2), 2014, p385 - 399
N.Shivaranjani, J.J.H. Miller and S. Valarmathi, A parameter uniform almost first order convergent numerical method for a semi-linear system of singularly perturbed delay differential equations, Biomath, 33, 2014, p1411041-
Han H, Miller J.J.H, Tang M, A parameter-uniform tailored finite point method for singularly perturbed linear ode systems, Journal of Computational Mathematics, 31, (4), 2013, p422 - 438
V. Franklin, M. Paramasivam, J.J.H. Miller, S. Valarmathi, Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system, International J. Numerical Analysis and Modelin, 10, (1), 2013, p178-202
Paramasivam M, Miller J.J.H, Valarmathi S, Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diffusion type, Mathematical Communications, 18, (1), 2013, p271 - 295
Crane L.J, Miller J.J.H, A simple nonlinear model of a generic axisymmetric wave energy converter, Mathematical Communications, 17, (1), 2012, p303 - 312
Chah, E, Hok, V, Della-Chiesa, V, Miller, JJH, O'Mara SM & Reilly, RB. , Automated spike sorting algorithm based on Laplacian eigenmaps and k-means clustering, Journal of Neural Engineering, 8, 2011, p016006
Maragatha Meenakshi P, Valarmathi S, Miller J.J.H, Solving a partially singularly perturbed initial value problem on Shishkin meshes, Applied Mathematics and Computation, 215, (9), 2010, p3170 - 3180
S. Valarmathi,, J. J. H. Miller, A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems, International Journal of Numerical Analysis and Modeling, 7, (3), 2010, p535-548
Mathiyazhagan P, Sigamani V, Miller J.J.H, Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system, Mathematical Communications, 15, (2), 2010, p587 - 612
Miller J.J.H, Valarmathi S, A parameter-uniform finite difference method for a singularly perturbed initial value problem: A special case, LNCSE, 69, 2009, p267 - 276
N. Pochai, S. Tangmanee, L. J. Crane, J. J. H. Miller., A Water Quality Computation in the Uniform Reservoir, Journal of Interdisciplinary Mathematics, 1292, (1), 2009, p19-28
Chatham R.D, Doyle M, Miller J.J, Rogers A.M, Skaggs R.D, Ward J.A, Algorithm performance for chessboard separation problems, Journal of Combinatorial Mathematics and Combinatorial Computing, 70, 2009, p127 - 142
Reyen S.S, Miller J.J, Wegman E.J, Separating a mixture of two normals with proportional covariances, Metrika, 70, (3), 2009, p297 - 314
N. Pochai, S. Tangmanee, L. J. Crane, J. J. H. Miller., A Finite Element Simulation of Water Quality Measurement in the Open Reservoir, Thai Journal of Mathematics , 7, (2), 2009, p77-94
P Lin, J J H Miller, G I Shishkin, Analytic and experimental studies of the errors in numerical methods for the valuation of options, Numerical Mathematics: Theory, Methods and Applications, 1, (2), 2008, p150-164
Pochai N, Tangmanee S, Crane L.J, Miller J.J.H, A water quality computation in the uniform channel, Journal of Interdisciplinary Mathematics, 11, (6), 2008, p803 - 814
Li Z.-C, Tsai H.-S, Wang S, Miller J.J.H, Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers, Computers and Mathematics with Applications, 55, (11), 2008, p2602 - 2622
N. Pochai, L. J. Crane, J. J. H. Miller, S.Tangmanee,, A Numerical Computation of Velocity and Water Elevation in One-dimensional Hydrodynamic Model, Proceedings in the International Conference on Engineering, Applied Sciences, and Technology, International Conference on Engineering, Applied Sciences, and Technology, King Mongkut's Institute of Technology Ladkabang, Thailand, 2007, 2007
Hemavathi S, Bhuvaneswari T, Valarmathi S, Miller J.J.H, A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations, Applied Mathematics and Computation, 191, (1), 2007, p1 - 11
Ansari A.R, Miller J.J.H, Shishkin G.I, A robust numerical method for flow through a pipe driven by an oscillating pressure gradient, International Journal for Numerical Methods in Fluids, 53, (3), 2007, p471 - 484
J. J. H. Miller, G. I. Shishkin, Robust numerical methods for the singularly perturbed Black-Scholes equation, Procs. Conf. Appl. Maths. & Sci. Comp, Conf. Appl. Maths. & Sci. Comp, Springer, 2005, pp95-105
Reyen S.S, Miller J.J, The moment of inertia and the linear discriminant function, Statistics and Probability Letters, 71, (1), 2005, p39 - 46
Butler J.S, Miller J.J.H, Shishkin G.I, A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer, International Journal of Computational Engineering Science, 5, (2), 2004, p387 - 402
Miller J.J.H, Shishkin G.I, Koren B, Shishkina L.P, Grid approximation of a singularly perturbed boundary value problem modelling heat transfer in the case of flow over a flat plate with suction of the boundary layer, Journal of Computational and Applied Mathematics, 166, (1), 2004, p221 - 232
Farrell P.A, Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient, Mathematical and Computer Modelling, 40, (11-12), 2004, p1375 - 1392
Farrell P.A, Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Singularly perturbed convection-diffusion problems with boundary and weak interior layers, Journal of Computational and Applied Mathematics, 166, (1), 2004, p133 - 151
Farrell P.A, Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Computing realistic Reynolds-uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl's problem, International Journal for Numerical Methods in Fluids, 43, (8), 2003, p895 - 902
Butler J.S, Miller J.J.H, Shishkin G.I, A Reynolds-uniform numerical method for Prandtl's boundary layer problem for flow past a wedge, International Journal for Numerical Methods in Fluids, 43, (8), 2003, p903 - 913
Farrell P.A, Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Numerical techniques for flow problems with singularities, International Journal for Numerical Methods in Fluids, 43, (8), 2003, p915 - 936
Miller J.J.H, Musgrave A.P, Shishkin G.I, A Reynolds-uniform numerical method for the Prandtl solution and its derivatives for stagnation line flow, International Journal for Numerical Methods in Fluids, 43, (8), 2003, p881 - 894
Farrell P.A, Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number, Applied Numerical Mathematics, 40, (1-2), 2002, p143 - 149
J. J. H. Miller, J.S. Butler, G I Shishkin, A Reynolds-uniform numerical method for Prandtl's boundary layer problem for flow past a plate with mass transfer, Recent Advances in Computational Science & Engineering, Procs. Intl. Conf. on Sci. & Eng. Comp., IC-SEC, Singapore 3-5 Dec, 2002, pp733-737
Miller J.J.H, Musgrave A.P, Shishkin G.I, A robust layer-resolving numerical method for plane stagnation point flow, 1988, 2001, 594 - 601
A robust layer-resolving numerical method for a free convection problem in, editor(s)A.A. Ashour, A.-S.F. Obada , Mathematics in the 21st century, World Scientific,, 2001, pp189-198 , [J. J. H. Miller,J.Étienne, G.I. Shishkin]
MacMullen H, Miller J.J.H, O'Riordan E, Shishkin G.I, A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers, Journal of Computational and Applied Mathematics, 130, (1-2), 2001, p231 - 244
Gahan B, Miller J.J, Shishkin G.I, Reynoldsâ"uniform numerical method for prandtlâ s problem with suctionâ"blowing based on blasiusâ approach, 1988, 2001, 304 - 315
Clavero C, Miller J.J.H, O'Riordan E, Shishkin G.I, Numerical experiments for advection-diffusion problems in a channel with a 180° bend, Applied Mathematics and Computation, 118, (2-3), 2001, p223 - 246
Miller J, Working wire, making history, Springs, 40, (2), 2001, p31 - 32
J. J. H. Miller, P.A. Farrell, E. O'Riordan, G.I. Shishkin, A parameter-uniform fitted mesh method for quasilinear differential equations with boundary layers, Computational Methods in Applied Mathematics, 1, (2), 2001, p154-172
Shishkin G.I, Farrell P.A, Hegarty A.F, Miller J.J.H, Oâ Riordan E, On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate, 1988, 2001, 723 - 731
A parameter robust numerical method for a system of singularly perturbed ordinary differential equation in, editor(s)L.G. Vulkov, J.J.H. Miller, G.I. Shishkin , Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, New York., Nova Science Publishers, 2000, pp219-224. , [Miller, J.J.H.S. Matthews, E. O'Riordan, G.I. Shishkin]
Schwarz iterative method for convection-diffusion problems with boundary layers in, editor(s)L.G. Vulkov, J.J.H. Miller, G.I. Shishkin , Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, New York., Nova Science Publishers, 2000, pp213-218 , [Miller, J.J.H., H. MacMullen E. O'Riordan, G.I. Shishkin]
Miller J.J.H, O'Riordan E, Shishkin G.I, Wang S, Parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer, Applied Numerical Mathematics, 35, (4), 2000, p323 - 337
Singularly perturbed differential equations with discontinuous source terms in, editor(s)L.G. Vulkov, J.J.H. Miller, G.I. Shishkin , Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, New York., Nova Science Publishers, 2000, pp23-31 , [Miller, J.J.H., P Farrell, E O'Riordan, G I Shishkin]
On a fitted operator technique for singular perturbation equations in, editor(s)A.A. Samarskii, L. G. Vulkov, P. N. Vabishchevich , Finite Difference methods: Theory and Applications, Institute of Mathematics and Informatics, Vilnius, 1999, 71-78 , [Miller, J.J.H, P.A. Farrell, A.Hegarty, E. O'Riordan, G. I. Shishkin]
Miller J.J.H, Schilders W.H.A, Wang S, Application of finite element methods to the simulation of semiconductor devices, Reports on Progress in Physics, 62, (3), 1999, p277 - 353
Miller, J.J.H. E. O'Riordan, G.I. Shishkin, L.P. Shishkina, Fitted mesh methods for problems with parabolic boundary layers, Math. Proc. Roy. Irish Acad, 98A, (2), 1998, 173-190
Miller, J.J.H. & E. O'Riordan, G.I. Shishkin, Fitted numerical methods for four simple convection-diffusion problems, Procs. 2nd Asian Maths. Conf., Procs. 2nd Asian Maths. Conf., 1995, edited by S. Tangmanee & E. Schultz , 1998, pp444-448
Clavero C, Miller J.J.H, O'Riordan E, Shishkin G.I, An accurate numerical solution of a two dimensional heat transfer problem with a parabolic boundary layer, Journal of Computational Mathematics, 16, (1), 1998, p27 - 39
Farrell P.A, Miller J.J.H, O'Riordan E, Shishkin G.I, On the non-existence of ε-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems, Mathematics of Computation, 67, (222), 1998, p603 - 617
Crane L.J, Gilchrist M.D, Miller J.J.H, Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate, Computational Mechanics, 19, (6), 1997, p533 - 537
Farrell P.A, Miller J.J.H, O'Riordan E, Shishkin G.I, A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation, SIAM Journal on Numerical Analysis, 33, (3), 1996, p1135 - 1149
Clavero C, Lisbona F, Miller J.J.H, Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem, Journal of Computational and Applied Mathematics, 59, (2), 1995, p155 - 171
Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Numerical results for advection-dominated heat transfer in a moving fluid with a non-slip boundary condition, International Journal of Numerical Methods for Heat & Fluid Flow, 5, (2), 1995, p131 - 140
Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Special Meshes for Finite Difference Approximations to an Advection-Diffusion Equation with Parabolic Layers, Journal of Computational Physics, 117, (1), 1995, p47 - 54
Hegarty A.F, Miller J.J.H, O'riordan E, Shishkin G.I, On a novel mesh for the regular boundary layers arising in advectionâ dominated transport in two dimensions, Communications in Numerical Methods in Engineering, 11, (5), 1995, p435 - 441
Miller J.J.H, O'riordan E, Shishkin G.I, On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems, IMA Journal of Numerical Analysis, 15, (1), 1995, p89 - 99
Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number, East-West Journal of Numerical Mathematics, 2, (1), 1994, p65 - 74
Miller, J.J.H. & A.F. Hegarty, E. O'Riordan, G.I. Shishkin, On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers, Notes on Numerical Fluid Mechanics, Procs. 9th GAMM-Seminar Kiel, Jan 22-24 1993, 46, 1994, pp167-176
L.J. Crane, P.B. Deasy, E.M. Kenny, J.J.H. Miller, Erosion of an infinite cylinder, Z. Angew. Math. Mech., 74, 1994, p633 - 635
Hegarty A.F, Miller J.J.H, O'Riordan E, Shishkin G.I, Use of centralâ difference operators for solution of singularly perturbed problems, Communications in Numerical Methods in Engineering, 10, (4), 1994, p297 - 302
Miller J.J.H, Wang S, A new non-conforming petrov-galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem, IMA Journal of Numerical Analysis, 14, (2), 1994, p257 - 276
Miller J.J.H, Wang S, An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems, Journal of Computational Physics, 115, (1), 1994, p56 - 64
Miller, J.J.H. & Y. Akyildiz, S. Markov, E. Popova, Computational tools for interpolations and curve fitting under uncertainties, Proc. of the 2nd Hellenic European Conf. on Mathematics and Informatics, 2nd Hellenic European Conf. on Mathematics and Informatics, Hermis '94, 22-24 September, 1994, pp659-666
Miller J.J.H, Wang S, Tetrahedral mixed finite element method for the stationary semiconductor continuity equations, SIAM Journal on Numerical Analysis, 31, (1), 1994, p196 - 216
Miller J.J.H, Wang S, On the implementation of a 3-D semiconductor device simulator on distributed-memory MIMD/SIMD machines, Parallel Computing, 20, (10-11), 1994, p1689 - 1691
Miller, J.J.H. & Wang, S., An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations, Modélisation Mathématique et Analyse Numérique, M2AN, 28, (2), 1994, p123-140
J.J.H. MIller & E. O'Riordan, E.A. Petrenko, G.I. Shishkin, Special finite difference methods for calculating heat fields in solid bodies with rapidly changing surface temperature, Applications of Computational Methods for Boundary and Interior Layers, 1993, p108-123
Miller, J.J.H. & L.J. Crane, P.B. Deasy, E.M. Kenny, The numerical solution of a moving boundary problem in two dimensions with applications to drug delivery systems, Modelling in Mechanics, 7, (2), 1993, p124-132
Miller, J.J.H. & A.F. Hegarty, E. O'Riordan, G.I. Shishkin, Key to the computation of the transfer of a substance by convection-diffusion in a laminar fluid, Applications of Computational Methods for Boundary and Interior Layers, 1993, p94-107
Lee M.W, Hutchinson D.R, Dillon W.P, Miller J.J, Agena W.F, Swift B.A, Method of estimating the amount of in situ gas hydrates in deep marine sediments, Marine and Petroleum Geology, 10, (5), 1993, p493 - 506
Miller, J.J.H. & Wang, S., An -uniformly convergent finite box method for a singularly perturbed advection-diffusion equation, Contributions in Numerical Mathematics, World Scientific Series in Applicable Analysis, 2, 1993, p271-284
The numerical solution of a moving boundary problem in two dimensions with applications to drug delivery systems, 24, 2, (1993), 124 - 132p, Eamonn Kenny, [eds.]
Fitzsimons C.J, Liu F, Miller J.J.H, A second-order L-stable time discretisation of the semiconductor device equations, Journal of Computational and Applied Mathematics, 42, (2), 1992, p175 - 186
Miller, J.J.H. & B.Y. Guo, Iterative and finite difference methods for solving a system of nonlinear elliptic equations, Journal of Applied Sciences, 10, (1), 1992, p1-24
J.J.H. MIller & A. Hegarty, E. O'Riordan, G.I. Shishkin, Numerical results for a convection-diffusion problem with a non-slip condition, BAIL VI Procs., 6th International Conf on Boundary and Interior Layers, Front Range Press, Colorado, 1992, pp67-68
Miller, J.J.H. & B.Y. Guo, Iterative and Petrov-Galerkin methods for solving a system of one-dimensional nonlinear elliptic equations, Mathematics of Computation, 58, (198), 1992, p531-547
Liu F, Miller J.J.H, Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations, Journal of Computational and Applied Mathematics, 44, (1), 1992, p77 - 94
Miller, J.J.H. & G.I. Shishkin, On the construction of uniformly convergent finite difference schemes for singularly perturbed problems for a quasilinear elliptic equation, Computational Methods for Boundary and Interior Layers in Several Dimensions, 1991, p103-118
Miller J.J, Lee M.W, Von Huene R, An analysis of a seismic reflection from the base of a gas hydrate zone, offshore Peru, American Association of Petroleum Geologists Bulletin, 75, (5), 1991, p910 - 924
Miller, J.J.H. & B.Y. Guo, Iterative and Petrov-Galerkin methods for a nonlinear two-point boundary value problems with application to semiconductor devices, Numerical Methods for Partial Differential Equations, 1991, p23-34
Miller, J.J.H. & Wang, S., A triangular mixed finite element method for the stationary semiconductor device equation, Modélisation Mathématique et Analyse Numérique, M2AN, 25, (4), 1991, p441-463
Miller, J.J.H. & Wang, S., An exponentially fitted finite element method for a stationary convection - diffusion problem, Computational Methods for Boundary and Interior Layers in Several Dimensions, 1991, 119-137
Miller, J.J.H. & E. Mullarkey, E. O'Riordan, G.I. Shishkin, A triangular mixed finite element method for the stationary semiconductor device equation, C. R. Acad. Sci. Paris, t 312, ( Série I), 1991, p643-648.
Miller, J.J.H. & Wang, S., A mixed finite element method with tetrahedral elements for the semiconductor continuity equations, ISNM, 93, 1990, p257-266
Fitzsimons C.J, Miller J.J.H, Wang S, Wu C.H, Hexahedral finite elements for the stationary semiconductor device equations, Computer Methods in Applied Mechanics and Engineering, 84, (1), 1990, p43 - 57
Miller, J.J.H. & Wang, S., An -uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions, Bulletin of the Greek Mathematical Society, 31, 1990, p91-101.
Bilinski C.A, Marmiroli N, Miller J.J, Apomixis in Saccharomyces cerevisiae and other eukaryotic micro-organisms., Advances in microbial physiology, 30, 1989, p23 - 52
Miller, J.J.H. & Wang, S. & Wu C.H., Mixed finite element methods for semiconductor device equations, Modelling & Simulation of Systems , 1989, 385-387
Miller, J.J.H. & Wang, S., A Petrov-Galerkin mixed finite element method with triangular elements for the semiconductor device equations, Numerical & Applied Mathematics, 1989, p677-679
Miller, J.J.H., Mixed finite element methods for the semiconductor device equations , ISNM, 86, 1988, p349-356.
Miller, J.J.H. & Boglaev, I.P., Petrov-Galerkin and Green's function methods for nonlinear boundary value problems with applications to semiconductor devices, Proc. Roy. Irish Acad, 88A, (2), 1988, p153-168
J.J.H. MIller & S. Wang, C.H. Wu, A mixed finite element method for the stationary semiconductor , Engineering Computations, 5, (4), 1988, p285-288
Miller, J.J.H., On the discretisation of the semiconductor device equations in the two dimensional case, Computational Mathematics II, Second International Conference on Computational Mathematics, University of Benin, Benin City, Nigeria, 29-31 January 1986, Boole Press, Dublin, 1987, pp49-51
Miller J.J.H, On a Petrov-Galerkin method for the electrical and thermal behaviour of semiconductor devices in two dimensions, Mathematics and Computers in Simulation, 29, (5), 1987, p367 - 372
Miller J.J.H, Some Numerical Techniques for the Solution of Problems Related to Semiconductor Devices, Proceedings of the International Symposium of Numerical Analysis, Numerical Approximation of Partial Differential Equations, Madrid, September 17-19, 1987, pp69-81
Miller J.J, Wegman E.J, Vector function estimation using splines, Journal of Statistical Planning and Inference, 17, (C), 1987, p173 - 180
Miller J.J.H, On the inclusion of the recombination term in discretizations of the semiconductor device equations, Mathematics and Computers in Simulation, 28, (1), 1986, p1 - 11
Miller J.J.H, Optimal uniform difference schemes for linear initial-value problems, Computers and Mathematics with Applications, 12, (5-6 PART 2), 1986, p1209 - 1215
Fitzsimons C, Miller J.J.H, O'riordan E, Petrovâ"Galerkin finite element methods with a hinged test space for singularly perturbed problems, International Journal for Numerical Methods in Engineering, 21, (10), 1985, p1803 - 1812
Miller, J.J.H., The rise of information technology and its significance for mathematics, Computers and Mathematics in the Modern Society, Proc. of Workshop, Benin City, Nigeria, October 31-November1, Macmillan Nigeria Publishers, 1985, pp10-16
Miller J.J.H, A new treatment of the recombination term in the current continuity equations of semiconductor device models, Engineering Computations, 2, (1), 1985, p71 - 73
Miller, J.J.H., On the design of numerical methods for modelling semiconductor devices, Computational Mathematics I, First International Conference on Computational Mathematics, Benin City, Nigeria, 2-4 November, Boole Press, 1985, pp19-24
Miller, J.J.H. & Sloan, A.A., Large numbers on small computers, Proc. IFIP and TC2 Working Conference on PDE Software: Modules, Interfaces and Systems, Working Conference on PDE Software: Modules, Interfaces and Systems, 22-26 August, 1984, pp365-372
Miller, J.J.H., A correction term for the Scharfetter-Gummel finite difference scheme, BAIL III Procs., Working Conference on PDE3rd International Conf. on Boundary and Interior Layers, Dublin, Boole Press, 1984, pp256-258
Bilinski C.A, Miller J.J, Girvitz S.C, Events associated with restoration by zinc of meiosis in apomictic Saccharomyces cerevisiae, Journal of Bacteriology, 155, (3), 1983, p1178 - 1184
Miller, J.J.H. & O'Riordan, E., Hinged finite element methods for two point boundary value problems with a singular perturbation, Numerical Methods in Continuum Mechanics, 14 , (2 ), 1983, p142-154.
Miller, J.J.H., Some finite difference schemes for a singular perturbation problem, Constructive Function Theory, Proc. of the Int. Conf. on Constructive Function Theory, 30 May - 4 June , 1980, pp399-402
Miller J.J, Maximum Likelihood Estimation of Variance Componentsâ"A Monte Carlo Study, Journal of Statistical Computation and Simulation, 8, (3-4), 1979, p175 - 190
On the convergence uniformly in , of difference schemes for a two point boundary singular perturbation problem in, editor(s)J.J.H. Miller, P.W. Hemker. , Numerical Analysis of Singular Perturbation Problems, Academic Press, 1978, pp467-474 , [Miller, J.J.H.]
Miller, J.J.H., Sufficient conditions for the convergence, uniformly in , of a three point difference scheme for a singular perturbation problem, Lecture Notes in Mathematics, Numerical Treatment of Differential Equations in Applications, 11-17 December , 679, Springer Verlag, 1977, pp85-91
Miller, J.J.H. & Banach, S, A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative, Proceedings of the 5th Semester: Mathematical Models and Numerical Methods, International Mathematical Center, Warsaw, 3, Banach Center Publications , 1977, pp143-146
Miller, J.J.H., Construction of a FEM for a singularly perturbed problem in 2 dimensions, Proceedings of the Conference: Numerische Behandlung von Differential-gleichungen, insbesondere mit der Methode der finiten Elemente, 31, Birkhauser Verlag, 1976, pp165-169.
Creedon D.M, Miller J.J.H, The stability properties of q-step backward difference schemes, BIT, 15, (3), 1975, p244 - 249
Miller, J.J.H., On the type of a polynomial f when f*(0)f - f(0)f* is a monomial, Computers and Mathematics with Applications , 1, 1975, p299-306
Miller, J.J.H., On the type of a polynomial relative to a line - a special case, Proceedings of the Conference Numerische Methoden bei Optimierungsaufgaben, Proceedings of the Conference Numerische Methoden bei Optimierungsaufgaben, 23, Birkhäuser Verlag, 1974, pp101-112
Miller, J.J.H., Practical algorithms for finding the type of a polynomial, Studies in Numerical Analysis, 1974, p253-264.
MIller, J.J.H. & Simms D.J., On the coefficients of an asymptotic expansion of spherical functions on symmetric spaces, Proc. Amer. Math. Soc., 37, 1973, p448-452
MIller, J.J.H. & Simms D.J., On the differential equation for spherical functions on certain symmetric spaces, Proc. Roy. Irish Acad, 73A, 1973, p19-24
MIller, J.J.H., On the stability of differential equations, S.I.A.M. J. Control., 1972, p639-648
MIller, J.J.H. & D.P. McCarthy, The refinement and implementation of an algorithm , S.I.A.M. J. Control. / Seminaires Analyse Numerique, 1972, pVI, 1-9.
Miller, J.J.H., On weak stability, stability and the type of a polynomial, Lecture NOtes in Mathematics, . Conference on Application of Numerical Analysis, Springer Verlag, 1971, pp316-320.
Miller J.J.H, On the location of zeros of certain classes of polynomials with applications to numerical analysis, IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 8, (3), 1971, p397 - 406
MIller, J.J.H. and D.J. Simms, A difference equation satisfied by the functions of Harish-Chandra, Amer. J. Math, 92, 1970, p362-367
MIller, J.J.H. and D.J. Simms, Radial limits of the rational functions of Harish-Chandra, Proc. Roy. Irish Acad, 68, 1969, p41-47
MIller, J.J.H. , The construction of unbalanced difference operators for parabolic initial-boundary value Problems, S.I.A.M. J. on Numer. Anal., 6, 1969, p476-479
MIller, J.J.H. , On the resolvent of a linear operator associated with a well-posed Cauchy problem, Math. Comp, 20, 1968, p541-548
Miller J.J.H, On power-bounded operators and operators satisfying a resolvent condition, Numerische Mathematik, 10, (5), 1967, p389 - 396
MIller, J.J.H. and Gilbert Strang, Matrix theorems for partial differential and difference equations, Math. Scand, 18, 1966, p113-133.
Non-Peer-Reviewed Publications
N. Pochai, S. Tangmanee, L. J. Crane, J. J. H. Miller., A Mathematical Model of Water Pollution Control Using the Finite Element Method, PAMM, 2006, pp755-756
Miller, J.J.H., New tools in computational fluid dynamics for aerospace engineering, Global Aerospace Technology, Business Briefing, World Markets Series, 2000, p70-72