Mathematics

Prof John Carroll

Prof John Carroll
Name:Prof John Carroll
Phone Number8917
Department:Mathematics
Room:X139
E-Mail Address:
Work Area:Head of School
HomepagePersonal Homepage

Research Interests:


Mathematics, Numerical Analysis, Ordinary differential equations, Partial differential equations, Finite difference methods, Adaptive schemes


Selected Peer Reviewed Journals


  • J Carroll, S Stewart. 1996. A comparison of some adaptive space mesh solvers for the numerical solution of parabolic partial differential equations. Computers And Mathematics With Applications, 31,, pp97-115.
  • J Carroll. 1994. On the implementation of a matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems. Annals Of Numerical Mathematics, 1,, pp377-383.
  • J Carroll. 1994. Present and future information linkage between industry and applied mathematics. ILIAM 10: Information Linkgage between Industry and Applied Mathematics,
  • J Carroll. 1993. A matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems. Computers And Mathematics With Applications, 26,, pp57-64.
  • J Carroll. 1993. A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension. Journal Of Computational And Applied Mathematics, 46,, pp327-343.
  • J Carroll. 1992. Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems. Computers And Mathematics With Applications, 24,, pp105-116.
  • J Carroll. 1992. The role of computer software in Numerical Analysis teaching. SIGNUM Newslettr,
  • J Carroll. 1991. Mathematics as an Industrial Tool. Technology Ireland,, pp29-31.
  • J Carroll. 1989. A Composite Integration Scheme for the Numerical Solution of Systems of Ordinary Differential Equations. Journal Of Computational And Applied Mathematics, 25,, pp1-13.
  • J Carroll. 1989. The Numerical Analysis of Semiconductor Devices. Ims Bulletin, 23,, pp22-37.
  • J Carroll. 1989. ILIAM VIII. Proceedings of the Eight Seminar on Information Linkage between Industy and Applied Mathematics,
  • J Carroll. 1988. ILIAM V. Proceedings of the Fifth Seminar on Information Linkage between Industry and Applied Mathematics,
  • J Carroll. 1986. Exponentially fitted one-step methods for the numberical solution of the scalar Riccati Equation. Journal Of Computational And Applied Mathematics, 16,, pp9-25.
  • J Carroll. 1986. An exponentially fitted scheme for initial-value problems involving second-order differential equations. Boole Press, Bail IV: Boundary & Interior Layers - Computational & Asymptotic Methods,
  • J Carroll. 1986. An exponentially fitted scheme for initial-value problems involving second-order differential equations. Boole Press, BAIL IV: Boundary & Interior Layers - Computational and Asymptotic Methods,
  • J Carroll. 1984. A uniformly convergent exponentially fitted DIRK scheme, in Boundary and Interior Layers - Computational and Asymptotic Methods. Boole Press, Proceedings of the BAIL III Conference, JJH Miller (ed.), Boole Press, Dublin.,
  • J Carroll. 1984. A one-dimensional numerical model of the npn transistor under arbitrary conditions in Numerical Analysis of Semiconductor Devices and Integrated Circuits. Boole Press, Proceedings of the NASECODE IV Conference,
  • J Carroll. 1983. Exponentially fitted one-step methods for the numerical integration of some stiff initial value problems. Ph.D. thesis, TCD, Dublin.,
  • J Carroll. 1982. On the implementation of exponentially fitted one-step methods for the numerical integration of still linear initial value problems, in Computational and Asymptotic Methods for Boundary and Interior Layers. Boole Press, Proceedings of the BAIL II Conference, JJH Miller (ed), Boole Press, Dublin.,
  • J Carroll. 1980. Completely exponentially fitted finite difference schemes for some singular perturbation problems. MSc Thesis, TCD.,
  • J Carroll, JJH Miller. 1980. Completely exponentially fitted finite difference schemes for some singular perturbation problems, in boundary and Interior Layers - Computational and Asymptotic Methods. Boole Press, Proceedings of the BAIL 1 Conference, JJH Miller (ed), Boole Press, Dublin,

Conferences:


  • J Carroll, Teaching large classes of mixed ability, UMTC '93: 19th Undergraduate Teaching Conference, - , *
  • J Carroll, S Stewart, Summary test results for some adaptive space mesh solvers in the numerical solution of parabolic partial differential equations. , ICIAM "Numerical Analysis, Scientific Computing, Computer Science", ZAMM: Zeitschrift fuer Angewandte Mathematik und Mechanik, Akademie Verlag, Berlin 1996, - , Hamburg