Edit Profile (opens in new tab) Ford, Neville J. Co-Author Distance Author ID: ford.neville-j Published as: Ford, Neville J.; Ford, N. J.; Ford, Neville more...less External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 95 Publications since 1988, including 2 Books 3 Contributions as Editor Reviewing Activity: 251 Reviews Co-Authors: 57 Co-Authors with 94 Joint Publications 1,326 Co-Co-Authors all top 5 Co-Authors 0 single-authored 17 Lima, Pedro Miguel 16 Lumb, Patricia M. 14 Baker, Christopher Thomas Hale 11 Diethelm, Kai 11 Yan, Yubin 9 Rebelo, Magda S. 8 Teodoro, M. Filomena 7 Diogo, Teresa 6 Edwards, John T. 6 Ford, Judith M. 5 Morgado, Maria Luísa 4 Ferrás, Luís Lima 4 Norton, Stewart J. 4 Wulf, Volker 4 Xiao, Jingyu 3 Freed, Alan David 3 Roberts, Jason A. 3 Rodrigues, Maria Manuela 3 Simpson, A. Charles 2 Bocharov, Gennady A. 2 Connolly, Joseph A. 2 Filiz, Ali 2 Malique, Md. Abdul 2 Nóbrega, João M. 2 Pal, Kamal 2 Paul, Christopher A. H. 2 Rihan, Fathalla A. 2 Tang, Arsalang 2 Thomas, Sophy M. 2 Tian, Hongjiong 2 Willé, David R. 1 Chen, Ke 1 Ekaka-A, Enu-Obari N. 1 Fermo, Luisa 1 Ferreira, José Manuel 1 Frischmuth, Kurt 1 Jackiewicz, Zdzislaw 1 Khan, Monzorul 1 Li, Zhiqiang 1 Luchko, Yurii F. 1 McKinley, Gareth H. 1 Moayyed, H. 1 Morgado, Luisa 1 Pedas, Arvet 1 Pinelas, Sandra 1 Savostyanov, Dmitry V. 1 Sequeira, Adélia 1 Valtchev, Svilen S. 1 Verduyn Lunel, Sjoerd M. 1 Vieira, Nelson 1 Vikerpuur, Mikk 1 Weilbeer, Marc 1 Woodroffe, Mark 1 Xu, Yuesheng 1 Yang, Yan 1 Zamarashkin, Nikolai L. 1 Zhao, Jingjun all top 5 Serials 23 Journal of Computational and Applied Mathematics 8 Fractional Calculus & Applied Analysis 7 Applied Numerical Mathematics 4 Applied Mathematics and Computation 4 Numerical Algorithms 4 Computational Methods in Applied Mathematics 3 Journal of Integral Equations and Applications 2 BIT 2 Boletim da Sociedade Portuguesa de Matemática 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 Communications on Pure and Applied Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Rostocker Mathematisches Kolloquium 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Greek Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Parallel Algorithms and Applications 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Stochastics and Dynamics 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 International Journal of Numerical Analysis and Modeling 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 Fractional Differential Calculus all top 5 Fields 84 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 33 Integral equations (45-XX) 17 Real functions (26-XX) 12 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 4,381 times in 2,985 Documents Cited by ▼ Year ▼ A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049 Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 940 2002 Analysis of fractional differential equations. Zbl 1014.34003 Diethelm, Kai; Ford, Neville J. 721 2002 Detailed error analysis for a fractional Adams method. Zbl 1055.65098 Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 435 2004 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352 Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 265 2005 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070 Diethelm, Kai; Ford, Neville J. 151 2004 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067 Diethelm, K.; Ford, N. J. 137 2002 Numerical analysis for distributed-order differential equations. Zbl 1159.65103 Diethelm, Kai; Ford, Neville J. 133 2009 A finite element method for time fractional partial differential equations. Zbl 1273.65142 Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 125 2011 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062 Ford, Neville J.; Simpson, A. Charles 110 2001 An analysis of the modified \(L1\) scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070 Yan, Yubin; Khan, Monzorul; Ford, Neville J. 105 2018 The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048 Edwards, John T.; Ford, Neville J.; Simpson, A. Charles 90 2002 Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214 Morgado, M. L.; Ford, N. J.; Lima, P. M. 88 2013 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550 Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 78 2006 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173 Yan, Yubin; Pal, Kamal; Ford, Neville J. 60 2014 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197 Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 60 2014 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098 Ford, Neville J.; Morgado, M. Luísa 56 2011 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124 Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 54 2013 Distributed order equations as boundary value problems. Zbl 1268.45005 Ford, N. J.; Morgado, M. L. 46 2012 Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198 Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J. 41 2017 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130 Ford, N. J.; Morgado, M. L.; Rebelo, M. 39 2015 Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065 Wulf, Volker; Ford, Neville J. 38 2000 An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102 Ford, Neville J.; Yan, Yubin 37 2017 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066 Ford, Neville J.; Connolly, Joseph A. 36 2009 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115 Ford, Neville J.; Connolly, Joseph A. 32 2006 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003 Diethelm, Kai; Ford, Neville J. 31 2012 Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111 Baker, Christopher T. H.; Ford, Neville J. 29 1992 Numerical solution methods for distributed order differential equations. Zbl 1032.65070 Diethelm, Kai; Ford, Neville J. 28 2001 The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations. Zbl 0941.65132 Ford, Neville J.; Wulf, Volker 27 1999 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132 Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 26 2013 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187 Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 24 2013 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076 Ford, N. J.; Morgado, M. L.; Rebelo, M. 23 2015 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089 Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 18 2017 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035 Ford, Neville J.; Lumb, Patricia M. 16 2009 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097 Yang, Yan; Yan, Yubin; Ford, Neville J. 16 2018 Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137 Ford, Neville J.; Baker, Christopher T. H. 14 1996 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173 Ford, Neville J.; Pal, Kamal; Yan, Yubin 14 2015 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117 Baker, Christopher T. H.; Ford, Neville J. 13 1988 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119 Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 13 2006 High order numerical methods for fractional terminal value problems. Zbl 1285.65049 Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 13 2014 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103 Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 11 2009 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009 Diethelm, Kai; Ford, Neville J. 11 2018 Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152 Baker, Christopher T. H.; Ford, Neville J. 10 1991 Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154 Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 10 2012 The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082 Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena 9 2010 Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084 Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 9 2010 Numerical analysis of a singular integral equation. Zbl 1082.65140 Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M. 8 2005 Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415 Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S. 8 2015 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088 Frischmuth, Kurt; Ford, Neville J.; Edwards, John T. 7 1997 How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068 Ford, Neville J.; Wulf, Volker 6 2000 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097 Baker, Christopher T. H.; Ford, Neville J. 6 1990 Nonlinear Volterra integro-differential equations – stability and numerical stability of \(\theta\)-methods. Zbl 0944.65150 Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A. 6 1998 Numerical approaches to delay equations with small solutions. Zbl 1030.65080 Ford, Neville J.; Lumb, Patricia M. 6 2002 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053 Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 6 2010 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027 Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 6 2014 Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286 Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M. 6 2018 Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053 Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J. 5 2004 Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054 Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 5 2010 Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082 Ford, Neville J.; Morgado, M. Luísa 5 2013 Boundedness and stability of solutions to difference equations. Zbl 1002.39025 Edwards, John T.; Ford, Neville J. 4 2002 Solution of a singular integral equation by a split-interval method. Zbl 1116.65129 Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M. 4 2007 Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409 Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P. 4 2008 High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 1543.65106 Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda 4 2021 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091 Wulf, Volker; Ford, Neville J. 3 1998 Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146 Ford, Neville J.; Baker, Christopher T. H. 3 2000 Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154 Edwards, John T.; Ford, Neville J.; Roberts, Jason A. 3 2003 Numerical investigation of \(D\)-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063 Ford, Neville J.; Norton, Stewart J. 3 2005 Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118 Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro 3 2007 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059 Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106 Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M. 3 2013 Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061 Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin 3 2011 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096 Baker, Christopher T. H.; Ford, Neville J. 2 1993 Introducing formal methods: a less mathematical approach. Zbl 0850.68232 Ford, Neville; Ford, Judith 2 1993 Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018 Ford, J. M.; Ford, N. J.; Wheeler, J. 2 2004 Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083 Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul 2 2010 Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078 Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 2 2014 Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019 Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M. 2 2017 Flexible parallelization of fast wavelet transforms. Zbl 1054.65132 Ford, Judith M.; Chen, Ke; Ford, Neville J. 1 2003 Theory and numerics for multi-term periodic delay differential equations: small solutions and their detection. Zbl 1178.34096 Ford, Neville J.; Lumb, Patricia M. 1 2007 Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061 Baker, Christopher T. H.; Ford, Neville J. 1 2020 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058 Ford, Neville J.; Lumb, Patricia M. 1 2006 Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133 Baker, C. T. H.; Bocharov, G. A.; Filiz, A.; Ford, N. J.; Paul, C. A. H.; Rihan, F. A.; Tang, A.; Thomas, R. M.; Tian, H.; Willé, D. R. 1 2001 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336 Norton, Stewart J.; Ford, Neville J. 1 2006 Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008 Ford, N. J.; Morgado, M. L. 1 2013 High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 1543.65106 Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda 4 2021 Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061 Baker, Christopher T. H.; Ford, Neville J. 1 2020 An analysis of the modified \(L1\) scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070 Yan, Yubin; Khan, Monzorul; Ford, Neville J. 105 2018 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097 Yang, Yan; Yan, Yubin; Ford, Neville J. 16 2018 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009 Diethelm, Kai; Ford, Neville J. 11 2018 Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286 Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M. 6 2018 Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198 Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J. 41 2017 An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102 Ford, Neville J.; Yan, Yubin 37 2017 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089 Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 18 2017 Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019 Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M. 2 2017 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130 Ford, N. J.; Morgado, M. L.; Rebelo, M. 39 2015 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076 Ford, N. J.; Morgado, M. L.; Rebelo, M. 23 2015 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173 Ford, Neville J.; Pal, Kamal; Yan, Yubin 14 2015 Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415 Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S. 8 2015 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173 Yan, Yubin; Pal, Kamal; Ford, Neville J. 60 2014 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197 Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 60 2014 High order numerical methods for fractional terminal value problems. Zbl 1285.65049 Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 13 2014 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027 Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 6 2014 Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078 Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 2 2014 Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214 Morgado, M. L.; Ford, N. J.; Lima, P. M. 88 2013 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124 Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 54 2013 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132 Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 26 2013 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187 Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 24 2013 Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082 Ford, Neville J.; Morgado, M. Luísa 5 2013 Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106 Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M. 3 2013 Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008 Ford, N. J.; Morgado, M. L. 1 2013 Distributed order equations as boundary value problems. Zbl 1268.45005 Ford, N. J.; Morgado, M. L. 46 2012 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003 Diethelm, Kai; Ford, Neville J. 31 2012 Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154 Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 10 2012 A finite element method for time fractional partial differential equations. Zbl 1273.65142 Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 125 2011 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098 Ford, Neville J.; Morgado, M. Luísa 56 2011 Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061 Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin 3 2011 The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082 Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena 9 2010 Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084 Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 9 2010 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053 Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 6 2010 Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054 Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 5 2010 Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083 Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul 2 2010 Numerical analysis for distributed-order differential equations. Zbl 1159.65103 Diethelm, Kai; Ford, Neville J. 133 2009 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066 Ford, Neville J.; Connolly, Joseph A. 36 2009 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035 Ford, Neville J.; Lumb, Patricia M. 16 2009 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103 Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 11 2009 Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409 Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P. 4 2008 Solution of a singular integral equation by a split-interval method. Zbl 1116.65129 Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M. 4 2007 Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118 Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro 3 2007 Theory and numerics for multi-term periodic delay differential equations: small solutions and their detection. Zbl 1178.34096 Ford, Neville J.; Lumb, Patricia M. 1 2007 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550 Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 78 2006 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115 Ford, Neville J.; Connolly, Joseph A. 32 2006 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119 Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 13 2006 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058 Ford, Neville J.; Lumb, Patricia M. 1 2006 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336 Norton, Stewart J.; Ford, Neville J. 1 2006 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352 Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 265 2005 Numerical analysis of a singular integral equation. Zbl 1082.65140 Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M. 8 2005 Numerical investigation of \(D\)-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063 Ford, Neville J.; Norton, Stewart J. 3 2005 Detailed error analysis for a fractional Adams method. Zbl 1055.65098 Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 435 2004 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070 Diethelm, Kai; Ford, Neville J. 151 2004 Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053 Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J. 5 2004 Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018 Ford, J. M.; Ford, N. J.; Wheeler, J. 2 2004 Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154 Edwards, John T.; Ford, Neville J.; Roberts, Jason A. 3 2003 Flexible parallelization of fast wavelet transforms. Zbl 1054.65132 Ford, Judith M.; Chen, Ke; Ford, Neville J. 1 2003 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049 Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 940 2002 Analysis of fractional differential equations. Zbl 1014.34003 Diethelm, Kai; Ford, Neville J. 721 2002 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067 Diethelm, K.; Ford, N. J. 137 2002 The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048 Edwards, John T.; Ford, Neville J.; Simpson, A. Charles 90 2002 Numerical approaches to delay equations with small solutions. Zbl 1030.65080 Ford, Neville J.; Lumb, Patricia M. 6 2002 Boundedness and stability of solutions to difference equations. Zbl 1002.39025 Edwards, John T.; Ford, Neville J. 4 2002 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059 Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062 Ford, Neville J.; Simpson, A. Charles 110 2001 Numerical solution methods for distributed order differential equations. Zbl 1032.65070 Diethelm, Kai; Ford, Neville J. 28 2001 Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133 Baker, C. T. H.; Bocharov, G. A.; Filiz, A.; Ford, N. J.; Paul, C. A. H.; Rihan, F. A.; Tang, A.; Thomas, R. M.; Tian, H.; Willé, D. R. 1 2001 Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065 Wulf, Volker; Ford, Neville J. 38 2000 How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068 Ford, Neville J.; Wulf, Volker 6 2000 Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146 Ford, Neville J.; Baker, Christopher T. H. 3 2000 The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations. Zbl 0941.65132 Ford, Neville J.; Wulf, Volker 27 1999 Nonlinear Volterra integro-differential equations – stability and numerical stability of \(\theta\)-methods. Zbl 0944.65150 Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A. 6 1998 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091 Wulf, Volker; Ford, Neville J. 3 1998 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088 Frischmuth, Kurt; Ford, Neville J.; Edwards, John T. 7 1997 Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137 Ford, Neville J.; Baker, Christopher T. H. 14 1996 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096 Baker, Christopher T. H.; Ford, Neville J. 2 1993 Introducing formal methods: a less mathematical approach. Zbl 0850.68232 Ford, Neville; Ford, Judith 2 1993 Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111 Baker, Christopher T. H.; Ford, Neville J. 29 1992 Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152 Baker, Christopher T. H.; Ford, Neville J. 10 1991 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097 Baker, Christopher T. H.; Ford, Neville J. 6 1990 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117 Baker, Christopher T. H.; Ford, Neville J. 13 1988 all cited Publications top 5 cited Publications all top 5 Cited by 3,888 Authors 80 Băleanu, Dumitru I. 51 Ford, Neville J. 39 Li, Changpin 38 Dehghan Takht Fooladi, Mehdi 36 Gómez-Aguilar, José Francisco 35 Liu, Fawang 34 Yan, Yubin 28 Momani, Shaher M. 26 Ahmad, Bashir 25 Abbaszadeh, Mostafa 25 Daftardar-Gejji, Varsha 25 Li, Hong 25 Liu, Yang 24 Zheng, Xiangcheng 23 Deng, Weihua 23 Garrappa, Roberto 22 Turner, Ian William 22 Zeng, Fanhai 21 Benchohra, Mouffak 21 Wang, Hong 20 Danca, Marius-Florin 20 Machado, José António Tenreiro 19 Karniadakis, George Em 19 Nieto Roig, Juan Jose 18 Atangana, Abdon 18 Diethelm, Kai 18 Ntouyas, Sotiris K. 18 Odibat, Zaid M. 18 Pedas, Arvet 17 Cao, Jinde 17 Javidi, Mohammad 17 Zaky, Mahmoud A. 16 Agarwal, Ravi P. 16 Al-saedi, Ahmed Eid Salem 16 Chen, Yangquan 15 Bhalekar, Sachin 15 Kumar, Sunil 15 Wu, Guocheng 14 Yu, Yongguang 13 Baker, Christopher Thomas Hale 13 Bhrawy, Ali Hassan 13 Huang, Chengming 13 Jiang, Xiaoyun 13 Ordokhani, Yadollah 13 Owolabi, Kolade Matthew 13 Rebelo, Magda S. 13 Salahshour, Soheil 13 Tavazoei, Mohammad Saleh 12 Abbas, Said 12 Kumar, Sachin 12 Sun, Zhizhong 12 Tamme, Enn 12 Xu, Chuanju 12 Yin, Baoli 12 Zhang, Chengjian 12 Zhang, Zhimin 12 Zhao, Jingjun 11 Abbasbandy, Saeid 11 Haeri, Mohammad 11 Lima, Pedro Miguel 11 Matouk, Ahmed Ezzat 11 Saadatmandi, Abbas 11 Xu, Wei 11 Xu, Yang 11 Zayernouri, Mohsen 10 Ahmadian, Ali 10 Burrage, Kevin 10 Doungmo Goufo, Emile Franc 10 Jin, Bangti 10 Mohebbi, Akbar 10 Shah, Kamal 10 Singh, Vineet Kumar 10 Torres, Delfim Fernando Marado 10 Trujillo, Juan J. 10 Xu, Da 10 Yüzbaşı, Şuayip 10 Zhang, Jiwei 10 Zhou, Zhi 9 Baishya, Chandrali 9 Ding, Xiaohua 9 El-Sayed, Ahmed Mohamed Ahmed 9 Govindaraj, Venkatesan 9 Hashim, Ishak 9 Hendy, Ahmed S. 9 Lenka, Bichitra Kumar 9 Lu, Shujuan 9 Popolizio, Marina 9 Raja, Muhammad Asif Zahoor 9 Roul, Pradip 9 Sun, Hongguang 9 ur Rehman, Mujeeb 9 Vikerpuur, Mikk 9 Yang, Lixin 9 Zhou, Yong 9 Zhu, Yuanguo 8 Abdeljawad, Thabet 8 Abdo, Mohammed Salem 8 Atanackovic, Teodor M. 8 Cao, Wanrong 8 Chen, Guanrong ...and 3,788 more Authors all top 5 Cited in 343 Serials 135 Journal of Computational and Applied Mathematics 133 Chaos, Solitons and Fractals 121 Mathematical Methods in the Applied Sciences 113 Computers & Mathematics with Applications 112 Communications in Nonlinear Science and Numerical Simulation 110 Fractional Calculus & Applied Analysis 107 Applied Mathematics and Computation 102 Nonlinear Dynamics 100 Advances in Difference Equations 91 Applied Numerical Mathematics 66 Journal of Scientific Computing 59 Mathematics and Computers in Simulation 54 Abstract and Applied Analysis 51 Computational and Applied Mathematics 48 Numerical Algorithms 47 Applied Mathematical Modelling 47 International Journal of Computer Mathematics 46 Journal of Computational Physics 45 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 40 Mathematical Problems in Engineering 32 Numerical Methods for Partial Differential Equations 30 Journal of Applied Mathematics and Computing 28 Discrete Dynamics in Nature and Society 27 Fractals 25 Physica A 25 Applied Mathematics Letters 25 Chaos 22 Journal of Mathematical Analysis and Applications 21 International Journal of Applied and Computational Mathematics 20 Nonlinear Analysis. 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Principles and Applications of Systems and Integration 6 Communications on Applied Mathematics and Computation 5 International Journal of Modern Physics B 5 Computer Physics Communications 5 Computational Mechanics 5 Mathematical and Computer Modelling 5 Journal of Difference Equations and Applications 5 Mathematical Modelling and Analysis 5 Quantitative Finance 5 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 5 Nonlinear Analysis. Hybrid Systems 5 Numerical Mathematics: Theory, Methods and Applications 5 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 4 Acta Mechanica 4 Reports on Mathematical Physics 4 Automatica ...and 243 more Serials all top 5 Cited in 46 Fields 1,565 Ordinary differential equations (34-XX) 1,496 Numerical analysis (65-XX) 831 Partial differential equations (35-XX) 800 Real functions (26-XX) 333 Biology and other natural sciences (92-XX) 324 Integral equations (45-XX) 254 Systems theory; control (93-XX) 225 Dynamical systems and ergodic theory (37-XX) 136 Operator theory (47-XX) 100 Special functions (33-XX) 82 Probability theory and stochastic processes (60-XX) 69 Fluid mechanics (76-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 54 Mechanics of deformable solids (74-XX) 53 Approximations and expansions (41-XX) 52 Integral transforms, operational calculus (44-XX) 50 Difference and functional equations (39-XX) 46 Statistical mechanics, structure of matter (82-XX) 46 Information and communication theory, circuits (94-XX) 41 Computer science (68-XX) 29 Mechanics of particles and systems (70-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 25 Operations research, mathematical programming (90-XX) 14 Optics, electromagnetic theory (78-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Geophysics (86-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Quantum theory (81-XX) 9 Measure and integration (28-XX) 8 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 6 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year