Edit Profile (opens in new tab) Ford, Neville J. Compute Distance To: Compute Author ID: ford.neville-j Published as: Ford, Neville J.; Ford, N. J.; Ford, Neville more...less External Links: ORCID Documents Indexed: 94 Publications since 1988, including 2 Books 3 Contributions as Editor Reviewing Activity: 238 Reviews Co-Authors: 54 Co-Authors with 93 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, Luis L. 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 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 Pinelas, Sandra 1 Savostyanov, Dmitry V. 1 Sequeira, Adélia 1 Valtchev, Svilen S. 1 Verduyn Lunel, Sjoerd M. 1 Vieira, Nelson 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 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 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 Fractional Differential Calculus all top 5 Fields 82 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 33 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 Open 82 Publications have been cited 3,263 times in 2,195 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. 673 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 547 2002 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 340 2004 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 214 2005 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 112 2004 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 108 2002 A finite element method for time fractional partial differential equations. Zbl 1273.65142Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 87 2011 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 86 2009 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062Ford, Neville J.; Simpson, A. Charles 86 2001 The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048Edwards, John T.; Ford, Neville J.; Simpson, A. Charles 75 2002 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 64 2006 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. 60 2018 Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214Morgado, M. L.; Ford, N. J.; Lima, P. M. 59 2013 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098Ford, Neville J.; Morgado, M. Luísa 46 2011 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 40 2013 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173Yan, Yubin; Pal, Kamal; Ford, Neville J. 39 2014 Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065Wulf, Volker; Ford, Neville J. 37 2000 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 36 2014 Distributed order equations as boundary value problems. Zbl 1268.45005Ford, N. J.; Morgado, M. L. 29 2012 Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111Baker, Christopher T. H.; Ford, Neville J. 28 1992 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066Ford, Neville J.; Connolly, Joseph A. 28 2009 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 27 1999 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115Ford, Neville J.; Connolly, Joseph A. 27 2006 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 26 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. 24 2015 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 22 2012 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 22 2001 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. 21 2017 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 20 2013 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 18 2013 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076Ford, N. J.; Morgado, M. L.; Rebelo, M. 16 2015 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 15 2017 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035Ford, Neville J.; Lumb, Patricia M. 14 2009 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173Ford, Neville J.; Pal, Kamal; Yan, Yubin 13 2015 Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137Ford, Neville J.; Baker, Christopher T. H. 13 1996 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097Yang, Yan; Yan, Yubin; Ford, Neville J. 12 2018 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 11 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 High order numerical methods for fractional terminal value problems. Zbl 1285.65049Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 9 2014 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 9 2009 Numerical analysis of a singular integral equation. Zbl 1082.65140Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M. 8 2005 Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154Ford, Neville J.; Xiao, Jingyu; Yan, Yubin 7 2012 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 7 2010 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088Frischmuth, Kurt; Ford, Neville J.; Edwards, John T. 7 1997 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 7 2018 Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097Baker, Christopher T. H.; Ford, Neville J. 6 1990 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 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. 6 2015 How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068Ford, Neville J.; Wulf, Volker 6 2000 Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J. 5 2004 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 5 2010 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 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 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 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 4 2014 Boundedness and stability of solutions to difference equations. Zbl 1002.39025Edwards, John T.; Ford, Neville J. 4 2002 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154Edwards, John T.; Ford, Neville J.; Roberts, Jason A. 3 2003 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091Wulf, Volker; Ford, Neville J. 3 1998 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 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 Numerical investigation of \(D\)-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063Ford, Neville J.; Norton, Stewart J. 3 2005 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117Baker, Christopher T. H.; Ford, Neville J. 2 1988 Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146Ford, Neville J.; Baker, Christopher T. H. 2 2000 Introducing formal methods: a less mathematical approach. Zbl 0850.68232Ford, Neville; Ford, Judith 2 1993 Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018Ford, J. M.; Ford, N. J.; Wheeler, J. 2 2004 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. 2 2017 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 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058Ford, Neville J.; Lumb, Patricia M. 1 2006 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 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 treatment of oscillatory functional differential equations. Zbl 1191.65083Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul 1 2010 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 Flexible parallelization of fast wavelet transforms. Zbl 1054.65132Ford, Judith M.; Chen, Ke; Ford, Neville J. 1 2003 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336Norton, Stewart J.; Ford, Neville J. 1 2006 Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061Baker, Christopher T. H.; Ford, Neville J. 1 2020 High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 07465789Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda 1 2021 Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008Ford, N. J.; Morgado, M. L. 1 2013 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 High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 07465789Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda 1 2021 Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061Baker, 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 1381.65070Yan, Yubin; Khan, Monzorul; Ford, Neville J. 60 2018 Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097Yang, Yan; Yan, Yubin; Ford, Neville J. 12 2018 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 7 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 26 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. 21 2017 Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089Li, Zhiqiang; Yan, Yubin; Ford, Neville J. 15 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. 2 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. 24 2015 A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076Ford, N. J.; Morgado, M. L.; Rebelo, M. 16 2015 An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173Ford, Neville J.; Pal, Kamal; Yan, Yubin 13 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. 6 2015 Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173Yan, Yubin; Pal, Kamal; Ford, Neville J. 39 2014 Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J. 36 2014 High order numerical methods for fractional terminal value problems. Zbl 1285.65049Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda 9 2014 On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L. 4 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. 59 2013 Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda 40 2013 A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson 20 2013 Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin 18 2013 Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082Ford, Neville J.; Morgado, M. Luísa 3 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 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. 29 2012 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 22 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 87 2011 Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098Ford, Neville J.; Morgado, M. Luísa 46 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 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 7 2010 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 Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu 5 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. 86 2009 Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066Ford, Neville J.; Connolly, Joseph A. 28 2009 Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035Ford, Neville J.; Lumb, Patricia M. 14 2009 New approach to the numerical solution of forward-backward equations. Zbl 1396.65103Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. 9 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 64 2006 Comparison of numerical methods for fractional differential equations. Zbl 1133.65115Ford, Neville J.; Connolly, Joseph A. 27 2006 Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen 11 2006 An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058Ford, Neville J.; Lumb, Patricia M. 1 2006 Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336Norton, Stewart J.; Ford, Neville J. 1 2006 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 214 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. 3 2005 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 340 2004 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 112 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. 3 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. 673 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 547 2002 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 108 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 75 2002 Boundedness and stability of solutions to difference equations. Zbl 1002.39025Edwards, John T.; Ford, Neville J. 4 2002 Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059Ford, Neville J.; Verduyn Lunel, Sjoerd M. 3 2002 Numerical approaches to delay equations with small solutions. Zbl 1030.65080Ford, Neville J.; Lumb, Patricia M. 3 2002 The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062Ford, Neville J.; Simpson, A. Charles 86 2001 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 22 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. 37 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. 2 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 27 1999 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 Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091Wulf, Volker; Ford, Neville J. 3 1998 Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088Frischmuth, 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 0858.65137Ford, Neville J.; Baker, Christopher T. H. 13 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. 28 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. 6 1990 Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117Baker, Christopher T. H.; Ford, Neville J. 2 1988 all cited Publications top 5 cited Publications all top 5 Cited by 2,845 Authors 64 Băleanu, Dumitru I. 48 Ford, Neville J. 34 Dehghan Takht Fooladi, Mehdi 30 Li, Changpin 30 Liu, Fawang 29 Gómez-Aguilar, José Francisco 26 Yan, Yubin 25 Daftardar-Gejji, Varsha 24 Momani, Shaher M. 23 Abbaszadeh, Mostafa 21 Benchohra, Mouffak 21 Turner, Ian William 20 Ahmad, Bashir 20 Garrappa, Roberto 19 Zeng, Fanhai 18 Deng, Weihua 18 Wang, Hong 17 Bhalekar, Sachin 17 Li, Hong 17 Liu, Yang 16 Danca, Marius-Florin 16 Nieto Roig, Juan Jose 16 Zheng, Xiangcheng 15 Karniadakis, George Em 15 Machado, José António Tenreiro 15 Ntouyas, Sotiris K. 14 Atangana, Abdon 14 Chen, Yangquan 14 Diethelm, Kai 14 Javidi, Mohammad 13 Agarwal, Ravi P. 12 Abbas, Said 12 Baker, Christopher Thomas Hale 12 Bhrawy, Ali Hassan 12 Pedas, Arvet 12 Zhang, Chengjian 11 Jiang, Xiaoyun 11 Kumar, Sachin 11 Lima, Pedro Miguel 11 Tamme, Enn 11 Tavazoei, Mohammad Saleh 11 Zaky, Mahmoud A. 10 Al-saedi, Ahmed Eid Salem 10 Huang, Chengming 10 Mohebbi, Akbar 10 Odibat, Zaid M. 10 Owolabi, Kolade Matthew 10 Salahshour, Soheil 10 Sun, Zhizhong 10 Torres, Delfim Fernando Marado 10 Yu, Yongguang 9 Burrage, Kevin 9 Cao, Jinde 9 Haeri, Mohammad 9 Jin, Bangti 9 Popolizio, Marina 9 Rebelo, Magda S. 9 Saadatmandi, Abbas 9 Trujillo, Juan J. 9 Yin, Baoli 9 Zayernouri, Mohsen 9 Zhao, Jingjun 9 Zhou, Zhi 8 Abbasbandy, Saeid 8 Atanackovic, Teodor M. 8 Ding, Xiaohua 8 Doungmo Goufo, Emile Franc 8 El-Sayed, Ahmed Mohamed Ahmed 8 Ghanbari, Behzad 8 Lumb, Patricia M. 8 Shah, Kamal 8 Sun, Hongguang 8 Wei, LeiLei 8 Wu, Guocheng 8 Xu, Chuanju 8 Xu, Yang 7 Aghababa, Mohammad Pourmahmood 7 Ahmadian, Ali 7 Anh, Vo V. 7 Cafagna, Donato 7 Escobar-Jiménez, Ricardo Fabricio 7 Gao, Guanghua 7 Grassi, Giuseppe 7 Hashim, Ishak 7 Jia, Jinhong 7 Kheiri, Hossein 7 Kumar, Sunil 7 Liu, Chongxin 7 Liu, Xiao Jun 7 Lu, Shujuan 7 Ordokhani, Yadollah 7 Pham, Viet-Thanh 7 Saha Ray, Santanu 7 Wang, Zhen 7 Wu, Xiangjun 7 Xu, Wei 7 Yang, Lixin 7 Yüzbaşı, Şuayip 7 Zeng, Caibin 7 Zhang, Chunrui ...and 2,745 more Authors all top 5 Cited in 281 Serials 117 Chaos, Solitons and Fractals 116 Journal of Computational and Applied Mathematics 100 Applied Mathematics and Computation 97 Computers & Mathematics with Applications 96 Nonlinear Dynamics 88 Fractional Calculus & Applied Analysis 88 Advances in Difference Equations 79 Applied Numerical Mathematics 63 Communications in Nonlinear Science and Numerical Simulation 54 Abstract and Applied Analysis 48 Journal of Scientific Computing 44 Journal of Computational Physics 43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Numerical Algorithms 37 Applied Mathematical Modelling 37 Mathematical Problems in Engineering 31 International Journal of Computer Mathematics 31 Computational and Applied Mathematics 30 Mathematics and Computers in Simulation 26 Discrete Dynamics in Nature and Society 22 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. 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Series S 6 Asian Journal of Control 6 S\(\vec{\text{e}}\)MA Journal 6 Journal of Function Spaces 6 Computational Methods for Differential Equations 6 Open Mathematics 6 Communications on Applied Mathematics and Computation 5 Physica D 5 Computational Mechanics 5 Mathematical and Computer Modelling 5 Journal of Difference Equations and Applications 5 Nonlinear Analysis. Hybrid Systems 5 Advances in Differential Equations and Control Processes 5 Journal of Applied Analysis and Computation 5 Mathematical Sciences 4 Acta Mechanica 4 Automatica 4 Numerical Methods for Partial Differential Equations 4 Journal of the Egyptian Mathematical Society 4 Filomat 4 Journal of Inverse and Ill-Posed Problems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Frontiers of Mathematics in China 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 International Journal of Modern Physics B 3 International Journal of Control 3 Reports on Mathematical Physics 3 Mathematics of Computation 3 Numerische Mathematik 3 Results in Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Neural Networks 3 Taiwanese Journal of Mathematics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Theoretical and Applied Finance 3 The ANZIAM Journal 3 Nonlinear Analysis. Real World Applications 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série ...and 181 more Serials all top 5 Cited in 43 Fields 1,150 Ordinary differential equations (34-XX) 1,096 Numerical analysis (65-XX) 554 Partial differential equations (35-XX) 548 Real functions (26-XX) 260 Integral equations (45-XX) 202 Biology and other natural sciences (92-XX) 184 Systems theory; control (93-XX) 175 Dynamical systems and ergodic theory (37-XX) 101 Operator theory (47-XX) 66 Special functions (33-XX) 55 Probability theory and stochastic processes (60-XX) 54 Fluid mechanics (76-XX) 45 Mechanics of deformable solids (74-XX) 43 Difference and functional equations (39-XX) 42 Approximations and expansions (41-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 36 Information and communication theory, circuits (94-XX) 31 Integral transforms, operational calculus (44-XX) 31 Statistical mechanics, structure of matter (82-XX) 29 Mechanics of particles and systems (70-XX) 21 Computer science (68-XX) 19 Operations research, mathematical programming (90-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 12 Optics, electromagnetic theory (78-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Functions of a complex variable (30-XX) 9 Quantum theory (81-XX) 8 Functional analysis (46-XX) 8 Geophysics (86-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Sequences, series, summability (40-XX) 2 Combinatorics (05-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 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year