[1] JSC Prentice, Optical generation rate of electron-hole pairs in multilayer
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1 Publications and Conferences (as of 13 July 2015) Dr JSC Prentice Papers published [1] JSC Prentice, Optical generation rate of electron-hole pairs in multilayer thin-film photovoltaic cells, Journal of Physics D: Applied Physics, 32 (1999) [2] JSC Prentice, The effect of surface states at the SnO 2 /p-a-si:h interface, Journal of Non-Crystalline Solids, 262 (2000) [3] JSC Prentice, Computer simulation of the effect of phosphorous doping of the i-layer in a thin-film a-si:h p-i-n solar cell, Solar Energy Materials & Solar Cells, 61 (2000) [4] JSC Prentice, Current-voltage curve asymmetry in a-si:h solar cells, Solar Energy Materials & Solar Cells, 64 (2000) [5] JSC Prentice, Effect of gap state parameters in intrinsic a-si:h, Journal of Non-Crystalline Solids, 278 (2000) [6] JSC Prentice, Coherent, partially coherent and incoherent light absorption in thin-film multilayer structures, Journal of Physics D: Applied Physics, 33 (2000) [7] JSC Prentice, Sensitivity of solutions to Poisson s equation to boundary values in p-type a-si:h thin films, Semiconductor Science and Technology, 16 (2001)
2 [8] JSC Prentice, Limiting carrier effect in a-si:h solar cells, Solar Energy Materials & Solar Cells, 69 (2001) 9-16 [9] JSC Prentice, Spectral response of a-si:h p-i-n solar cells, Solar Energy Materials & Solar Cells, 69 (2001) [10] JSC Prentice, Optimal optical generation profiles in a-si:h p-i-n solar cells, Solar Energy Materials & Solar Cells, 71 (2002) [11] JSC Prentice, Effect of interface states at the SnO 2 /p-a-si:h interface in an a-si:h solar cell, Solar Energy Materials & Solar Cells, 71 (2002) [12] JSC Prentice, Incorporation of the first derivative of the objective function into the linear training of a radial basis function neural network for approximation via strict interpolation, ICNAAM 2005 Extended Abstracts, Wiley-VCH, Weinheim (2005) [13] JSC Prentice, Comments on numerically improved Gauss-Legendre quadrature, Applied Mathematics and Computation, 174 (2006) [14] JSC Prentice, The RKGL method for the numerical solution of initialvalue problems, Journal of Computational and Applied Mathematics, 213 (2008) [15] JSC Prentice, Local error control in the RK5GL3 method, International Journal of Computational and Mathematical Sciences, 2, 3 (2008)
3 [16] JSC Prentice, Error propagation in the RK5GL3 method, International Journal of Computational and Mathematical Sciences, 2, 3 (2008) [17] JSC Prentice, General error propagation in the RKrGLm method, Journal of Computational and Applied Mathematics, 228 (2009) [18] JSC Prentice, Improving the efficiency of Runge-Kutta reintegration by means of the RKGL algorithm, in Advanced Technologies, edited by K. Jayanthakumaran, published by InTech, 2009 (ISBN: ) [19] JSC Prentice, The RK1GL2X3 method for initial value problems in ordinary differential equations, World Academy of Science, Engineering and Technology, 61 (2010) [20] JSC Prentice, The (RK2GL2)GL2 method for initial-value problems, Far East Journal of Applied Mathematics, 40, 2 (2010) [21] JSC Prentice, The RKrGLmXn method for initial-value problems, Far East Journal of Applied Mathematics, 46, 1 (2010) [22] JSC Prentice, First-principles derivation of a third-order method for solving a two-dimensional nonlinear system, Journal of Mathematics Research, 2, 4 (2010) [23] JSC Prentice, A general algorithm for local error control in the RKrGLm method, in Numerical Simulations - Applications, Examples and Theory, edited by L. Angermann, published by InTech, 2011 (ISBN: )
4 [24] JSC Prentice, Truncation and roundoff errors in three-point approximations of first and second derivatives, Applied Mathematics and Computation, 217 (2011) [25] JSC Prentice, The nature of the nodes, weights and degree of precision in Gaussian quadrature rules, International Journal of Mathematical Education in Science and Technology, 42, 1 (2011) [26] JSC Prentice, Strict interpolation of a smooth function and its first derivative using a linearly-trained radial basis function neural network, Journal of Mathematics Research, 3, 1 (2011) [27] JSC Prentice, Amplification and suppression of roundoff error in Runge- Kutta methods, International Journal of Mathematical Education in Science and Technology, 42, 3 (2011) [28] JSC Prentice, Stepwise global error control in an explicit Runge-Kutta method using local extrapolation with high-order selective quenching, Journal of Mathematics Research, 3, 2 (2011) [29] JSC Prentice, Composite Gauss-Legendre quadrature with error control, International Journal of Mathematical Education in Science and Technology, 42, 4 (2011) ; corrigendum, International Journal of Mathematical Education in Science and Technology, 42, 5 (2011) [30] JSC Prentice, Range and Domain Partitioning in Piecewise Polynomial Approximation, Studies in Mathematical Sciences, 2, 2 (2011) 67-77
5 [31] JSC Prentice, Stepsize selection in explicit Runge-Kutta methods for moderately stiff problems, Applied Mathematics (p-issn: , e- ISSN: ), 2, 6 (2011) [32] JSC Prentice, Absolute and relative error control in composite interpolatory quadrature: the CIRQUE algorithm, Journal of Mathematics Research, 3, 3 (2011) [33] JSC Prentice, Numerical approximation of the Fermi-Dirac integral of order ½ by means of composite Gauss-Legendre quadrature, International Journal of Numerical Methods and Applications, 5, 1 (2011) [34] JSC Prentice, Relative Error Control in Bivariate Interpolatory Cubature, arxiv.org (Cornell University Library), 2011, 14p, [arxiv: ] [35] JSC Prentice, Runge-Kutta Methods: Local error control does not imply global error control, Journal of Pure and Applied Mathematics: Advances and Applications, 6, 1 (2011) 71-84; also at [arxiv: ] [36] JSC Prentice, Relative Global Error Control in the RKQ Algorithm for Systems of Ordinary Differential Equations, Journal of Mathematics Research, 3, 4 (2011) [37] JSC Prentice, Nyström Methods in the RKQ Algorithm for Initial-value Problems, arxiv.org (Cornell University Library), 2011, 7p, [arxiv: ]
6 [38] JSC Prentice, Global Error Control in the Runge-Kutta Solution of a Hamiltonian System, arxiv.org (Cornell University Library), 2011, 12p, [arxiv: ] [39] JSC Prentice, Relative Error Control in Finite-Difference Solutions of Two-Point Boundary-Value Problems, Applied Mathematical Sciences, 6, 19 (2012) [40] JSC Prentice, Relative and Absolute Error Control in a Finite-Difference Method Solution of Poisson's Equation, International Journal of Mathematical Education in Science and Technology, 43, 5 (2012) [41] JSC Prentice, Global Error Control in a Lotka-Volterra System using the RKQ Algorithm, Journal of Mathematical and Computational Science, 2, 2 (2012) [42] JSC Prentice, Efficiency of the RKQ Algorithm, Applied Mathematical Sciences, 6, 52 (2012) [43] JSC Prentice, Global Error and Stepsize Selection in Moderately Stiff Problems, Applied Mathematical Sciences, 6, 52 (2012) [44] JSC Prentice, Error-induced Stiffness in the Runge-Kutta Solution of a Lotka-Volterra System, Applied Mathematical Sciences, 6, 52 (2012) [45] JSC Prentice, Event Location and Global Error in Runge-Kutta Methods, Applied Mathematical Sciences, 6, 64 (2012)
7 [46] JSC Prentice, The Relative Efficiency of Quenching and Reintegration for Global Error Control in Runge-Kutta Methods, Journal of Mathematical and Computational Science, 2, 4 (2012) [47] JSC Prentice, Numerical Differentiation - A General Purpose Algorithm, International Journal of Mathematical Education in Science and Technology, 44, 1 (2013) [48] JSC Prentice, Error in Runge-Kutta Methods, International Journal of Mathematical Education in Science and Technology, 44, 3 (2013) [49] JSC Prentice, False Convergence in the Nonlinear Shooting Method, Journal of Mathematical and Computational Science, 5, 4 (2015)
8 Conference presentations [1] The development of a one-dimensional simulation of thin film photovoltaic devices and an investigation into the properties of a-si:h solar cells, Poster exhibit, SAIP99 (South African Institute of Physics), University of Port Elizabeth, South Africa, [2] Incorporation of a Gauss-Legendre multistep into a classical explicit Runge- Kutta method, Lecture, NA05 (Biennial Conference on Numerical Analysis), University of Dundee, Dundee, Scotland, [3] Incorporation of the first derivative of the objective function into the linear training of a radial basis function neural network for approximation via strict interpolation, Lecture, ICNAAM 2005 (International Conference on Numerical Analysis and Applied Mathematics), Rhodes, Greece, [4] Properties of numerically improved Gauss-Legendre quadrature, Lecture, ICCAM 2006 (International Conference on Computational and Applied Mathematics), Leuven, Belgium, [5] Local error control in the RK5GL3 method, Lecture, AMNA2008 (WCSET2008), Paris, France, [6] Error propagation in the RK5GL3 method, Lecture, AMNA2008 (WCSET2008), Paris, France, [7] Stability regions of RKGL and related methods, Lecture, SANUM2009, University of Stellenbosch, South Africa, [8] The RK1GL2X3 method for initial value problems in ordinary differential equations, Lecture, ICMSS 2010, Cape Town, South Africa, 2010.
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