Edit Profile Ford, Neville J. Compute Distance To: Compute Author ID: ford.neville-j Published as: Ford, N. J.; Ford, Neville; Ford, Neville J. External Links: ORCID Documents Indexed: 96 Publications since 1988, including 3 Books Reviewing Activity: 227 Reviews all top 5 Co-Authors 0 single-authored 17 Lima, Pedro Miguel 16 Lumb, Patricia M. 14 Baker, Christopher T. H. 11 Diethelm, Kai 11 Morgado, Maria Luísa 11 Yan, Yubin 8 Rebelo, Magda S. 8 Teodoro, M. Filomena 7 Diogo, Teresa 6 Edwards, John T. 6 Ford, Judith M. 4 Norton, Stewart J. 4 Wulf, Volker 4 Xiao, Jingyu 3 Ferrás, Luis L. 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 Morgado, Luisa 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, Huawei 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 Pinelas, Sandra 1 Savostyanov, Dmitry V. 1 Sequeira, Adélia 1 Thomas, R. M. C. 1 Thomas, Richard M. 1 Valtchev, Svilen S. 1 Verduyn Lunel, Sjoerd M. 1 Vieira, Nelson 1 Weilbeer, Marc 1 Wheeler, James T. 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 7 Applied Numerical Mathematics 7 Fractional Calculus & Applied Analysis 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 Frontiers of Mathematics in China 1 Fractional Differential Calculus all top 5 Fields 81 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 32 Integral equations (45-XX) 15 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 80 Publications have been cited 2,718 times in 1,764 Documents Cited by ▼ Year ▼ A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 549 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 451 2002 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 284 2004 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 192 2005 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 99 2004 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 95 2002 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062Ford, Neville J.; Simpson, A. Charles 77 2001 A finite element method for time fractional partial differential equations. Zbl 1273.65142Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 71 2011 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 69 2009 The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048Edwards, John T.; Ford, Neville J.; Simpson, A. Charles 68 2002 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 54 2006 Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214Morgado, M. L.; Ford, N. J.; Lima, P. M. 45 2013 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098Ford, Neville J.; Morgado, M. Luísa 41 2011 Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065Wulf, Volker; Ford, Neville J. 36 2000 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 30 2014 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173Yan, Yubin; Pal, Kamal; Ford, Neville J. 30 2014 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 30 2013 The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations. Zbl 0941.65132Ford, Neville J.; Wulf, Volker 29 1999 An analysis of the modified \(L1\) scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070Yan, Yubin; Khan, Monzorul; Ford, Neville J. 27 2018 Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111Baker, Christopher T. H.; Ford, Neville J. 27 1992 Distributed order equations as boundary value problems. Zbl 1268.45005Ford, N. J.; Morgado, M. L. 24 2012 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066Ford, Neville J.; Connolly, Joseph A. 24 2009 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130Ford, N. J.; Morgado, M. L.; Rebelo, M. 21 2015 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115Ford, Neville J.; Connolly, Joseph A. 21 2006 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 16 2013 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 16 2001 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 15 2012 An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102Ford, Neville J.; Yan, Yubin 14 2017 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 14 2013 Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J. 13 2017 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173Ford, Neville J.; Pal, Kamal; Yan, Yubin 12 2015 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035Ford, Neville J.; Lumb, Patricia M. 12 2009 Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137Ford, Neville J.; Baker, Christopher T. H. 12 1996 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 10 2017 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076Ford, N. J.; Morgado, M. L.; Rebelo, M. 10 2015 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 10 2006 Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152Baker, Christopher T. H.; Ford, Neville J. 10 1991 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117Baker, Christopher T. H.; Ford, Neville J. 9 1988 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 8 2009 Numerical analysis of a singular integral equation. Zbl 1082.65140Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M. 8 2005 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097Yang, Yan; Yan, Yubin; Ford, Neville J. 7 2018 Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 7 2012 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097Baker, Christopher T. H.; Ford, Neville J. 7 1990 High order numerical methods for fractional terminal value problems. Zbl 1285.65049Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 6 2014 Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 6 2010 The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena 6 2010 How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068Ford, Neville J.; Wulf, Volker 6 2000 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091Wulf, Volker; Ford, Neville J. 6 1998 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088Frischmuth, Kurt; Ford, Neville J.; Edwards, John T. 6 1997 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 5 2018 Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S. 5 2015 Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J. 5 2004 Nonlinear Volterra integro-differential equations – stability and numerical stability of \(\theta\)-methods. Zbl 0944.65150Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A. 5 1998 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 4 2010 Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P. 4 2008 Solution of a singular integral equation by a split-interval method. Zbl 1116.65129Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M. 4 2007 Boundedness and stability of solutions to difference equations. Zbl 1002.39025Edwards, John T.; Ford, Neville J. 4 2002 Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M. 3 2013 Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082Ford, Neville J.; Morgado, M. Luísa 3 2013 Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 3 2010 Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro 3 2007 Numerical approaches to delay equations with small solutions. Zbl 1030.65080Ford, Neville J.; Lumb, Patricia M. 3 2002 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146Ford, Neville J.; Baker, Christopher T. H. 3 2000 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 2 2014 Numerical investigation of \(D\)-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063Ford, Neville J.; Norton, Stewart J. 2 2005 Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018Ford, J. M.; Ford, N. J.; Wheeler, J. 2 2004 Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154Edwards, John T.; Ford, Neville J.; Roberts, Jason A. 2 2003 Introducing formal methods: a less mathematical approach. Zbl 0850.68232Ford, Neville; Ford, Judith 2 1993 Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M. 1 2018 Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M. 1 2017 Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 1 2014 Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008Ford, N. J.; Morgado, M. L. 1 2013 Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin 1 2011 Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul 1 2010 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336Norton, Stewart J.; Ford, Neville J. 1 2006 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058Ford, Neville J.; Lumb, Patricia M. 1 2006 Flexible parallelization of fast wavelet transforms. Zbl 1054.65132Ford, Judith M.; Chen, Ke; Ford, Neville J. 1 2003 Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133Baker, 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 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096Baker, Christopher T. H.; Ford, Neville J. 1 1993 An analysis of the modified \(L1\) scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070Yan, Yubin; Khan, Monzorul; Ford, Neville J. 27 2018 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097Yang, Yan; Yan, Yubin; Ford, Neville J. 7 2018 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 5 2018 Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M. 1 2018 An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102Ford, Neville J.; Yan, Yubin 14 2017 Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J. 13 2017 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 10 2017 Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M. 1 2017 An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130Ford, N. J.; Morgado, M. L.; Rebelo, M. 21 2015 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173Ford, Neville J.; Pal, Kamal; Yan, Yubin 12 2015 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076Ford, N. J.; Morgado, M. L.; Rebelo, M. 10 2015 Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S. 5 2015 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 30 2014 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173Yan, Yubin; Pal, Kamal; Ford, Neville J. 30 2014 High order numerical methods for fractional terminal value problems. Zbl 1285.65049Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 6 2014 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 2 2014 Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 1 2014 Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214Morgado, M. L.; Ford, N. J.; Lima, P. M. 45 2013 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 30 2013 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 16 2013 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 14 2013 Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M. 3 2013 Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082Ford, Neville J.; Morgado, M. Luísa 3 2013 Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008Ford, N. J.; Morgado, M. L. 1 2013 Distributed order equations as boundary value problems. Zbl 1268.45005Ford, N. J.; Morgado, M. L. 24 2012 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 15 2012 Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 7 2012 A finite element method for time fractional partial differential equations. Zbl 1273.65142Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 71 2011 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098Ford, Neville J.; Morgado, M. Luísa 41 2011 Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin 1 2011 Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 6 2010 The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena 6 2010 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 4 2010 Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M. 3 2010 Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul 1 2010 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 69 2009 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066Ford, Neville J.; Connolly, Joseph A. 24 2009 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035Ford, Neville J.; Lumb, Patricia M. 12 2009 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 8 2009 Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P. 4 2008 Solution of a singular integral equation by a split-interval method. Zbl 1116.65129Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M. 4 2007 Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro 3 2007 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 54 2006 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115Ford, Neville J.; Connolly, Joseph A. 21 2006 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 10 2006 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336Norton, Stewart J.; Ford, Neville J. 1 2006 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058Ford, Neville J.; Lumb, Patricia M. 1 2006 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 192 2005 Numerical analysis of a singular integral equation. Zbl 1082.65140Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M. 8 2005 Numerical investigation of \(D\)-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063Ford, Neville J.; Norton, Stewart J. 2 2005 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 284 2004 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 99 2004 Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J. 5 2004 Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018Ford, J. M.; Ford, N. J.; Wheeler, J. 2 2004 Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154Edwards, John T.; Ford, Neville J.; Roberts, Jason A. 2 2003 Flexible parallelization of fast wavelet transforms. Zbl 1054.65132Ford, Judith M.; Chen, Ke; Ford, Neville J. 1 2003 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 549 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 451 2002 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 95 2002 The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048Edwards, John T.; Ford, Neville J.; Simpson, A. Charles 68 2002 Boundedness and stability of solutions to difference equations. Zbl 1002.39025Edwards, John T.; Ford, Neville J. 4 2002 Numerical approaches to delay equations with small solutions. Zbl 1030.65080Ford, Neville J.; Lumb, Patricia M. 3 2002 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062Ford, Neville J.; Simpson, A. Charles 77 2001 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 16 2001 Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133Baker, 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 0946.65065Wulf, Volker; Ford, Neville J. 36 2000 How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068Ford, Neville J.; Wulf, Volker 6 2000 Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146Ford, 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 0941.65132Ford, Neville J.; Wulf, Volker 29 1999 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091Wulf, Volker; Ford, Neville J. 6 1998 Nonlinear Volterra integro-differential equations – stability and numerical stability of \(\theta\)-methods. Zbl 0944.65150Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A. 5 1998 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088Frischmuth, Kurt; Ford, Neville J.; Edwards, John T. 6 1997 Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137Ford, Neville J.; Baker, Christopher T. H. 12 1996 Introducing formal methods: a less mathematical approach. Zbl 0850.68232Ford, Neville; Ford, Judith 2 1993 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096Baker, Christopher T. H.; Ford, Neville J. 1 1993 Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111Baker, Christopher T. H.; Ford, Neville J. 27 1992 Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152Baker, Christopher T. H.; Ford, Neville J. 10 1991 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097Baker, Christopher T. H.; Ford, Neville J. 7 1990 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117Baker, Christopher T. H.; Ford, Neville J. 9 1988 all cited Publications top 5 cited Publications all top 5 Cited by 2,454 Authors 52 Băleanu, Dumitru I. 48 Ford, Neville J. 32 Dehghan Takht Fooladi, Mehdi 30 Li, Changpin 26 Liu, Fawang 25 Daftardar-Gejji, Varsha 22 Abbaszadeh, Mostafa 22 Momani, Shaher M. 22 Yan, Yubin 19 Benchohra, Mouffak 19 Gómez-Aguilar, José Francisco 19 Turner, Ian William 18 Ahmad, Bashir 18 Deng, Weihua 18 Garrappa, Roberto 17 Zeng, Fanhai 16 Bhalekar, Sachin 15 Karniadakis, George Em 15 Machado, José António Tenreiro 15 Nieto Roig, Juan Jose 15 Ntouyas, Sotiris K. 14 Danca, Marius-Florin 14 Diethelm, Kai 13 Agarwal, Ravi P. 13 Atangana, Abdon 13 Baker, Christopher T. H. 13 Chen, Yangquan 12 Abbas, Said 12 Bhrawy, Ali Hassan 12 Morgado, Maria Luísa 12 Pedas, Arvet 11 Li, Hong 11 Lima, Pedro Miguel 11 Liu, Yang 11 Sun, Zhizhong 11 Tamme, Enn 11 Zhang, Chengjian 10 Al-saedi, Ahmed Eid Salem 10 Javidi, Mohammad 10 Mohebbi, Akbar 10 Odibat, Zaid M. 10 Salahshour, Soheil 10 Tavazoei, Mohammad Saleh 10 Zaky, Mahmoud A. 9 Burrage, Kevin 9 Haeri, Mohammad 9 Huang, Chengming 9 Rebelo, Magda S. 9 Trujillo, Juan J. 8 Atanackovic, Teodor M. 8 Ding, Xiaohua 8 El-Sayed, Ahmed Mohamed Ahmed 8 Jin, Bangti 8 Lumb, Patricia M. 8 Torres, Delfim Fernando Marado 8 Wang, Hong 8 Yu, Yongguang 8 Zhou, Zhi 7 Abbasbandy, Saeid 7 Ahmadian, Ali 7 Anh, Vo V. 7 Cafagna, Donato 7 Gao, Guanghua 7 Grassi, Giuseppe 7 Hashim, Ishak 7 Liu, Chongxin 7 Liu, Mingzhu 7 Liu, Xiao Jun 7 Pham, Viet-Thanh 7 Popolizio, Marina 7 Saadatmandi, Abbas 7 Sun, Hongguang 7 Wang, Zhen 7 Wei, LeiLei 7 Wu, Xiangjun 7 Yang, Lixin 7 Zayernouri, Mohsen 7 Zeng, Caibin 7 Zhang, Chunrui 7 Zhang, Zhimin 7 Zhao, Jingjun 7 Zheng, Baodong 7 Zheng, Xiangcheng 6 Aghababa, Mohammad Pourmahmood 6 Almeida, Ricardo 6 Cao, Jinde 6 Cao, Wanrong 6 Chen, Wen 6 Ding, Xiaoli 6 El-Saka, Hala A. A. 6 Escobar-Jiménez, Ricardo Fabricio 6 Goodrich, Christopher S. 6 Han, Zhenlai 6 Hong, Ling 6 Jiang, Xiaoyun 6 Jiang, Yaolin 6 Li, Lei 6 Luchko, Yurii F. 6 Ouahab, Abdelghani 6 Petras, Ivo ...and 2,354 more Authors all top 5 Cited in 238 Serials 111 Journal of Computational and Applied Mathematics 95 Nonlinear Dynamics 88 Applied Mathematics and Computation 87 Computers & Mathematics with Applications 77 Fractional Calculus & Applied Analysis 72 Chaos, Solitons and Fractals 68 Advances in Difference Equations 64 Applied Numerical Mathematics 57 Communications in Nonlinear Science and Numerical Simulation 53 Abstract and Applied Analysis 43 Journal of Computational Physics 40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Applied Mathematical Modelling 34 Mathematical Problems in Engineering 33 Numerical Algorithms 32 Journal of Scientific Computing 23 Discrete Dynamics in Nature and Society 22 Journal of Mathematical Analysis and Applications 22 Computational and Applied Mathematics 20 Nonlinear Analysis. 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(English Edition) 3 Neural Networks 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Tbilisi Mathematical Journal 3 Symmetry 3 Journal of Applied Analysis and Computation 3 Mathematical Sciences 3 Journal of Function Spaces 2 Applicable Analysis 2 Computers and Fluids 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Inverse Problems 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Biosciences 2 Mathematics of Computation 2 Circuits, Systems, and Signal Processing ...and 138 more Serials all top 5 Cited in 43 Fields 953 Ordinary differential equations (34-XX) 869 Numerical analysis (65-XX) 424 Partial differential equations (35-XX) 417 Real functions (26-XX) 222 Integral equations (45-XX) 157 Systems theory; control (93-XX) 155 Dynamical systems and ergodic theory (37-XX) 142 Biology and other natural sciences (92-XX) 74 Operator theory (47-XX) 57 Special functions (33-XX) 44 Probability theory and stochastic processes (60-XX) 38 Fluid mechanics (76-XX) 36 Difference and functional equations (39-XX) 35 Mechanics of deformable solids (74-XX) 34 Information and communication theory, circuits (94-XX) 33 Approximations and expansions (41-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Mechanics of particles and systems (70-XX) 23 Integral transforms, operational calculus (44-XX) 22 Statistical mechanics, structure of matter (82-XX) 17 Computer science (68-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Optics, electromagnetic theory (78-XX) 11 Operations research, mathematical programming (90-XX) 8 Quantum theory (81-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Measure and integration (28-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year