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Professor John Miller

Fellow Emeritus (Pure & Applied Mathematics)

 John.Miller@tcd.ie

 


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, Notes: [Export Date: 6 February 2017], Conference Paper, PUBLISHED  DOI  URL
Miller J.J.H, Elementary tutorial on numerical methods for singular perturbation problems, Springer Proceedings in Mathematics and Statistics, 2016, 172, 2016, pp3 - 24, Notes: [Export Date: 9 February 2017], Conference Paper, PUBLISHED  DOI  URL
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, Notes: [Export Date: 9 February 2017], Conference Paper, PUBLISHED  DOI  URL
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, Notes: [Export Date: 9 February 2017], Conference Paper, PUBLISHED  DOI  URL
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-, Journal Article, PUBLISHED  DOI
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 , Journal Article, PUBLISHED  DOI
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, Notes: [Export Date: 9 February 2017], Conference Paper, PUBLISHED  DOI  URL
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, Notes: [Cited By :1 Export Date: 9 February 2017], Conference Paper, PUBLISHED  DOI  URL
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-, Journal Article, PUBLISHED  DOI
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, Notes: [Cited By :1 Export Date: 9 February 2017], Journal Article, PUBLISHED  URL
  

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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 , Conference Paper, PUBLISHED
Miller, J.J.H., New tools in computational fluid dynamics for aerospace engineering, Global Aerospace Technology, Business Briefing, World Markets Series, 2000, p70-72 , Journal Article, PUBLISHED

  

Research Interests

Description Of Research Interests

Design, modelling, testing and development of wave energy converters (WECs) to generate electric power from ocean waves.