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## Baker, Christopher T. H.

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 Author ID: baker.christopher-t-h Published as: Baker, Christopher T. H.; Baker, C. T. H.; Baker, Christopher; Baker, Chr. T. H.; Baker, C.
 Documents Indexed: 109 Publications since 1964, including 9 Books
all top 5

#### Co-Authors

 21 single-authored 14 Ford, Neville J. 13 Paul, Christopher A. H. 11 Bocharov, Gennady A. 10 Song, Yihong 8 Rihan, Fathalla A. 7 van der Houwen, Pieter J. 7 Willé, David R. 6 Derakhshan, Mir S. 5 Tang, Arsalang 5 Wolkenfelt, Paul H. M. 4 Buckwar, Evelyn 3 Amini, Siamak 3 Keech, Malcolm S. 2 Agyingi, Ephraim O. 2 Filiz, Ali 2 Ford, Judith M. 2 Lumb, Patricia M. 2 Monegato, Giovanni 2 Pryce, John D. 2 Vanden Berghe, Guido 2 Wilkinson, Joan C. 1 Andrew, Sarah M. 1 Anselone, Philip M. 1 Arndt, Herbert 1 Burrage, Kevin 1 Diogo, Teresa 1 Dowson, Nicholas 1 Fox, Leslie 1 Hodgson, Graham S. 1 Jackiewicz, Zdzislaw 1 Junt, T. 1 Kolmanovskii, Vladimir Borisovich 1 Krebs, P. R. 1 Lima, Pedro Miguel 1 Ludewig, Burkhard 1 Makroglou, Athena 1 Mayers, David F. 1 Miller, Geoffrey F. 1 Ni, Jingsong 1 Parmuzin, Eugene I. 1 Parmuzin, Evgeny I. 1 Phillips, Chris 1 Radcliffe, P. A. 1 Riddell, I. J. 1 Roberts, Jason A. 1 Sequeira, Adélia 1 Sharp, Philip W. 1 Short, Edward 1 Sommeijer, Ben P.
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#### Serials

 17 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 7 SIAM Journal on Numerical Analysis 5 IMA Journal of Numerical Analysis 5 Journal of Integral Equations and Applications 4 Journal of Difference Equations and Applications 3 Mathematics and Computers in Simulation 3 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Integral Equations 2 Journal of the Egyptian Mathematical Society 2 Advances in Computational Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 ACM Transactions on Mathematical Software 1 The Computer Journal. Section A / Section B 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Bulletin of the Greek Mathematical Society 1 Dynamic Systems and Applications 1 New Zealand Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Combinatorial Designs 1 Annals of Numerical Mathematics 1 Computer Mathematics and its Applications 1 Nonlinear Studies 1 Journal of Theoretical Medicine 1 LMS Journal of Computation and Mathematics 1 Stochastics and Dynamics 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Journal of Theoretical Biology 1 Monographs In Numerical Analysis
all top 5

#### Fields

 82 Numerical analysis (65-XX) 52 Integral equations (45-XX) 38 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 8 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-XX) 5 Approximations and expansions (41-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

87 Publications have been cited 1,229 times in 917 Documents Cited by Year
The numerical treatment of integral equations. Zbl 0373.65060
Baker, Christopher T. H.
1977
The deferred approach to the limit for eigenvalues of integral equations. Zbl 0217.53103
Baker, C. T. H.
1971
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
2000
Exponential stability in $$p$$-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations. Zbl 1081.65011
Baker, Christopher T. H.; Buckwar, Evelyn
2005
A perspective on the numerical treatment of Volterra equations. Zbl 0976.65121
Baker, Christopher T. H.
2000
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
1995
Stability regions in the numerical treatment of Volterra integral equations. Zbl 0409.65056
Baker, Christopher T. H.; Keech, Malcolm S.
1978
Retarded differential equations. Zbl 0970.65079
Baker, Christopher T. H.
2000
Continuous $$\Theta$$-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
2000
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.
1992
Regions of stability in the numerical treatment of Volterra integro- differential equations. Zbl 0428.65066
Baker, Christopher T. H.; Makroglou, Athena; Short, Edward
1979
Modelling and analysis of time-lags in some basic patterns of cell proliferation. Zbl 0908.92026
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.; Rihan, F. A.
1998
The tracking of derivative discontinuities in systems of delay- differential equations. Zbl 0747.65054
Willé, David R.; Baker, Christopher T. H.
1992
Discontinuous solutions of neutral delay differential equations. Zbl 1105.34055
Baker, Christopher T. H.; Paul, Christopher A. H.
2006
On the stability of predictor-corrector methods for parabolic equations with delay. Zbl 0623.65094
van der Houwen, P. J.; Sommeijer, B. P.; Baker, Christopher T. H.
1986
Perturbation theory for discrete Volterra equations. Zbl 1049.39010
Song, Yihong; Baker, Christopher T. H.
2003
Qualitative behaviour of numerical approximations to Volterra integro-differential equations. Zbl 1059.65129
Song, Yihong; Baker, Christopher T. H.
2004
Stability analysis of continuous implicit Runge-Kutta methods for Volterra integro-differential systems with unbounded delays. Zbl 0878.65122
Baker, Christopher T. H.; Tang, Arsalang
1997
Differential algebraic equations with after-effect. Zbl 0996.65077
Baker, C. T. H.; Paul, C. A. H.; Tian, H.
2002
Generalized Halanay inequalities for Volterra functional differential equations and discretized versions. Zbl 0958.45005
Baker, Christopher T. H.; Tang, Arsalang
2000
Perturbation of Volterra difference equations. Zbl 1049.39011
Song, Yihong; Baker, Christopher T. H.
2004
Periodic solutions of discrete Volterra equations. Zbl 1043.39002
Baker, Christopher T. H.; Song, Yihong
2004
Linearized stability analysis of discrete Volterra equations. Zbl 1055.39020
Song, Yihong; Baker, Christopher T. H.
2004
Computational modelling with functional differential equations: identification, selection, and sensitivity. Zbl 1069.65082
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.; Rihan, F. A.
2005
Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations. Zbl 0904.92022
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.
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.
1996
Admissibility for discrete Volterra equations. Zbl 1107.39012
Song, Yihong; Baker, Christopher T. H.
2006
Rival approaches to mathematical modelling in immunology. Zbl 1119.92037
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
2007
Numerical solution of Fredholm integral equations of first kind. Zbl 0127.08403
Baker, C. T. H.; Fox, L.; Mayers, D. F.; Wright, K.
1964
Computing stability regions-Runge-Kutta methods for delay differential equations. Zbl 0805.65082
Baker, Christopher T. H.; Paul, Christopher A. H.
1994
A global convergence theorem for a class of parallel continuous explicit Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0855.65081
Baker, Christopher T. H.; Paul, Christopher A. H.
1996
DELSOL – a numerical code for the solution of systems of delay- differential equations. Zbl 0747.65055
Willé, David R.; Baker, Christopher T. H.
1992
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
1991
Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag. Zbl 1196.65108
Baker, Christopher T. H.
2010
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second-kind Volterra integral equations. Zbl 0465.65071
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
1981
On the nature of certain quadrature formulas and their errors. Zbl 0216.23101
Baker, C. T. H.
1969
Computational approaches to parameter estimation and model selection in immunology. Zbl 1072.92020
Baker, C. T. H.; Bocharov, G. A.; Ford, J. M.; Lumb, P. M.; Norton, S. J.; Paul, C. A. H.; Junt, T.; Krebs, P.; Ludewig, B.
2005
Stepsize control and continuity consistency for state-dependent delay- differential equations. Zbl 0814.65081
Willé, David R.; Baker, Christopher T. H.
1994
Stability barriers to the construction of $$\{\rho,\sigma\}$$-reducible and fractional quadrature rules. Zbl 0652.65014
Baker, C. T. H.; Derakhshan, M. S.
1988
Asymptotic expansions for integration formulas in one or more dimensions. Zbl 0221.65049
Baker, Christopher T. H.; Hodgson, Graham S.
1971
Structure of recurrence relations in the study of stability in the numerical treatment of Volterra integral and integro-differential equations. Zbl 0448.65083
Baker, Christopher T. H.
1980
Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0824.65055
Baker, Christopher T. H.; Paul, Christopher A. H.
1993
Convergence and stability of quadrature methods applied to Volterra equations with delay. Zbl 0764.65082
Baker, C. T. H.; Derakhshan, M. S.
1993
Pitfalls in parameter estimation for delay differential equations. Zbl 0867.65032
Baker, Christopher T. H.; Paul, Christopher A. H.
1997
Runge-Kutta formulae applied to Volterra functional equations with a fixed delay. Zbl 0678.65096
Arndt, H.; Baker, C. T. H.
1988
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.
1990
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0502.65078
Amini, Siamak; Baker, Christopher T. H.; van der Houwen, Pieter J.; Wolkenfelt, Paul H. M.
1983
Discrete Volterra operators, fixed point theorems and their application. Zbl 1034.39001
Baker, Christopher T. H.; Song, Yihong
2003
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.
1998
Numerical analysis of Volterra functional and integral equations. Zbl 0881.65140
Baker, Christopher T. H.
1997
Stability analysis of certain Runge-Kutta procedures for Volterra integral equations. Zbl 0407.65054
Baker, Christopher T. H.; Keech, Malcolm S.
1978
Computational aspects of time-lag models of Marchuk type that arise in immunology. Zbl 1081.65071
Baker, C. T. H.; Bocharov, G. A.
2005
On Halanay-type analysis of exponential stability for the $$\theta$$-Maruyama method for stochastic delay differential equations. Zbl 1081.65012
Baker, Christopher T. H.; Buckwar, Evelyn
2005
Analysis via integral equations of an identification problem for delay differential equations. Zbl 1080.65121
Baker, Christopher T. H.; Parmuzin, Evgeny I.
2004
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
2004
FFT techniques in the numerical solution of convolution equations. Zbl 0629.65143
Baker, C. T. H.; Derakhshan, M. S.
1987
Disjoint Skolem sequences and related disjoint structures. Zbl 0818.05009
Baker, C.; Shalaby, N.
1993
Some aspects of causal and neutral equations used in modelling. Zbl 1163.93005
Baker, Christopher T. H.; Bocharov, Gennady; Parmuzin, Eugene; Rihan, Fathalla
2009
Periodic solutions of non-linear discrete Volterra equations with finite memory. Zbl 1193.45030
Baker, Christopher T. H.; Song, Yihong
2010
Treatment of integral equations by numerical methods. Based on the Proceedings of a Symposium held in Durham from 19-29 July, 1982, organized under the auspices of the London Mathematical Society. (Dedicated to Leslie Fox, Professor of Numerical Analysis and Fellow of Balliol College, University of Oxford). Zbl 0499.00015
Baker, Christopher T. H. (ed.); Miller, Geoffrey F. (ed.)
1982
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
1988
Stability of grazing systems with infinite delays. Zbl 1017.92505
Baker, Christopher T. H.; Tang, Arsalang
1998
Neutral delay differential equations in the modelling of cell growth. Zbl 1167.93003
Baker, Christopher T. H.; Bocharov, Gennady A.; Rihan, Fathalla A.
2008
R-K formulae applied to Volterra equations with delay. Zbl 0716.65121
Baker, Christopher T. H.; Derakhshan, Mir S.
1990
Stability analysis of Runge-Kutta methods applied to a basic Volterra integral equation. Zbl 0488.65069
Baker, Christopher T. H.; Wilkinson, Joan C.
1981
Identification of the initial function for nonlinear delay differential equations. Zbl 1088.34067
Baker, C. T. H.; Parmuzin, E. I.
2005
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2000
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
1988
On integral equation formulations of a class of evolutionary equations with time-lag. Zbl 1135.45002
Baker, Christopher T. H.; Lumb, Patricia M.
2006
Sense from sensitivity and variation of parameters. Zbl 1089.65056
Baker, C. T. H.; Agyingi, E. O.; Parmuzin, E. I.; Rihan, F. A.; Song, Yihong
2006
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0459.65091
Amini, S.; Baker, C. T. H.; van der Houwen, P. J.; Wolkenfelt, P. H. M.
1981
An introduction to the numerical treatment of Volterra and Abel-type integral equations. Zbl 0501.65061
Baker, Christopher T. H.
1982
Error bounds for some Chebyshev methods of approximation and integration. Zbl 0217.21302
Baker, C. T. H.; Radcliffe, P. A.
1970
Identification of the initial function for discretized delay differential equations. Zbl 1072.65109
Baker, C. T. H.; Parmuzin, E. I.
2005
On the propagation of derivative discontinuities in Volterra retarded integro-differential equations. Zbl 0977.45003
Baker, Christopher T. H.; Willé, David R.
2000
Non-negative convergent solutions of discrete Volterra equations. Zbl 1220.39003
Song, Yihong; Ni, Jingsong; Baker, Christopher T. H.
2011
Propositions on the robustness of multistep formulae. Zbl 0884.65136
Baker, Christopher T. H.
1996
Derivation of variation of parameters formulas for non-linear Volterra equations, using a method of embedding. Zbl 1285.45003
Agyingi, Ephraim O.; Baker, Christopher T. H.
2013
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.
1993
The state of the art in the numerical treatment of integral equations. Zbl 0615.65137
Baker, Christopher T. H.
1987
Initial function estimation for scalar neutral delay differential equations. Zbl 1172.34052
Baker, C. T. H.; Parmuzin, E. I.
2008
Numerical integration in the treatment of integral equations. Zbl 0427.65092
Baker, Christopher T. H.
1979
Runge-Kutta methods with error estimates for Volterra integral equations of the second kind. Zbl 0438.65108
Baker, Chr. T. H.; Riddell, I. J.; Keech, M. S.; Amini, S.
1980
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second kind Volterra integral equations. Zbl 0443.65098
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
1980
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.
2001
The numerical solution of nonlinear problems. Zbl 0484.65002
Baker, Christopher T. H. (ed.); Phillips, Chris (ed.)
1981
On the construction of stability polynomials for modified R-K methods for Volterra integro-differential equations. Zbl 0523.65087
Baker, Christopher T. H.; Wilkinson, Joan C.
1982
Derivation of variation of parameters formulas for non-linear Volterra equations, using a method of embedding. Zbl 1285.45003
Agyingi, Ephraim O.; Baker, Christopher T. H.
2013
Non-negative convergent solutions of discrete Volterra equations. Zbl 1220.39003
Song, Yihong; Ni, Jingsong; Baker, Christopher T. H.
2011
Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag. Zbl 1196.65108
Baker, Christopher T. H.
2010
Periodic solutions of non-linear discrete Volterra equations with finite memory. Zbl 1193.45030
Baker, Christopher T. H.; Song, Yihong
2010
Some aspects of causal and neutral equations used in modelling. Zbl 1163.93005
Baker, Christopher T. H.; Bocharov, Gennady; Parmuzin, Eugene; Rihan, Fathalla
2009
Neutral delay differential equations in the modelling of cell growth. Zbl 1167.93003
Baker, Christopher T. H.; Bocharov, Gennady A.; Rihan, Fathalla A.
2008
Initial function estimation for scalar neutral delay differential equations. Zbl 1172.34052
Baker, C. T. H.; Parmuzin, E. I.
2008
Rival approaches to mathematical modelling in immunology. Zbl 1119.92037
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
2007
Discontinuous solutions of neutral delay differential equations. Zbl 1105.34055
Baker, Christopher T. H.; Paul, Christopher A. H.
2006
Admissibility for discrete Volterra equations. Zbl 1107.39012
Song, Yihong; Baker, Christopher T. H.
2006
On integral equation formulations of a class of evolutionary equations with time-lag. Zbl 1135.45002
Baker, Christopher T. H.; Lumb, Patricia M.
2006
Sense from sensitivity and variation of parameters. Zbl 1089.65056
Baker, C. T. H.; Agyingi, E. O.; Parmuzin, E. I.; Rihan, F. A.; Song, Yihong
2006
Exponential stability in $$p$$-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations. Zbl 1081.65011
Baker, Christopher T. H.; Buckwar, Evelyn
2005
Computational modelling with functional differential equations: identification, selection, and sensitivity. Zbl 1069.65082
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.; Rihan, F. A.
2005
Computational approaches to parameter estimation and model selection in immunology. Zbl 1072.92020
Baker, C. T. H.; Bocharov, G. A.; Ford, J. M.; Lumb, P. M.; Norton, S. J.; Paul, C. A. H.; Junt, T.; Krebs, P.; Ludewig, B.
2005
Computational aspects of time-lag models of Marchuk type that arise in immunology. Zbl 1081.65071
Baker, C. T. H.; Bocharov, G. A.
2005
On Halanay-type analysis of exponential stability for the $$\theta$$-Maruyama method for stochastic delay differential equations. Zbl 1081.65012
Baker, Christopher T. H.; Buckwar, Evelyn
2005
Identification of the initial function for nonlinear delay differential equations. Zbl 1088.34067
Baker, C. T. H.; Parmuzin, E. I.
2005
Identification of the initial function for discretized delay differential equations. Zbl 1072.65109
Baker, C. T. H.; Parmuzin, E. I.
2005
Qualitative behaviour of numerical approximations to Volterra integro-differential equations. Zbl 1059.65129
Song, Yihong; Baker, Christopher T. H.
2004
Perturbation of Volterra difference equations. Zbl 1049.39011
Song, Yihong; Baker, Christopher T. H.
2004
Periodic solutions of discrete Volterra equations. Zbl 1043.39002
Baker, Christopher T. H.; Song, Yihong
2004
Linearized stability analysis of discrete Volterra equations. Zbl 1055.39020
Song, Yihong; Baker, Christopher T. H.
2004
Analysis via integral equations of an identification problem for delay differential equations. Zbl 1080.65121
Baker, Christopher T. H.; Parmuzin, Evgeny I.
2004
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
2004
Perturbation theory for discrete Volterra equations. Zbl 1049.39010
Song, Yihong; Baker, Christopher T. H.
2003
Discrete Volterra operators, fixed point theorems and their application. Zbl 1034.39001
Baker, Christopher T. H.; Song, Yihong
2003
Differential algebraic equations with after-effect. Zbl 0996.65077
Baker, C. T. H.; Paul, C. A. H.; Tian, H.
2002
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.
2001
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
2000
A perspective on the numerical treatment of Volterra equations. Zbl 0976.65121
Baker, Christopher T. H.
2000
Retarded differential equations. Zbl 0970.65079
Baker, Christopher T. H.
2000
Continuous $$\Theta$$-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
2000
Generalized Halanay inequalities for Volterra functional differential equations and discretized versions. Zbl 0958.45005
Baker, Christopher T. H.; Tang, Arsalang
2000
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2000
On the propagation of derivative discontinuities in Volterra retarded integro-differential equations. Zbl 0977.45003
Baker, Christopher T. H.; Willé, David R.
2000
Modelling and analysis of time-lags in some basic patterns of cell proliferation. Zbl 0908.92026
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.; Rihan, F. A.
1998
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.
1998
Stability of grazing systems with infinite delays. Zbl 1017.92505
Baker, Christopher T. H.; Tang, Arsalang
1998
Stability analysis of continuous implicit Runge-Kutta methods for Volterra integro-differential systems with unbounded delays. Zbl 0878.65122
Baker, Christopher T. H.; Tang, Arsalang
1997
Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations. Zbl 0904.92022
Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.
1997
Pitfalls in parameter estimation for delay differential equations. Zbl 0867.65032
Baker, Christopher T. H.; Paul, Christopher A. H.
1997
Numerical analysis of Volterra functional and integral equations. Zbl 0881.65140
Baker, Christopher T. H.
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.
1996
A global convergence theorem for a class of parallel continuous explicit Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0855.65081
Baker, Christopher T. H.; Paul, Christopher A. H.
1996
Propositions on the robustness of multistep formulae. Zbl 0884.65136
Baker, Christopher T. H.
1996
Issues in the numerical solution of evolutionary delay differential equations. Zbl 0832.65064
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.
1995
Computing stability regions-Runge-Kutta methods for delay differential equations. Zbl 0805.65082
Baker, Christopher T. H.; Paul, Christopher A. H.
1994
Stepsize control and continuity consistency for state-dependent delay- differential equations. Zbl 0814.65081
Willé, David R.; Baker, Christopher T. H.
1994
Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0824.65055
Baker, Christopher T. H.; Paul, Christopher A. H.
1993
Convergence and stability of quadrature methods applied to Volterra equations with delay. Zbl 0764.65082
Baker, C. T. H.; Derakhshan, M. S.
1993
Disjoint Skolem sequences and related disjoint structures. Zbl 0818.05009
Baker, C.; Shalaby, N.
1993
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.
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.
1992
The tracking of derivative discontinuities in systems of delay- differential equations. Zbl 0747.65054
Willé, David R.; Baker, Christopher T. H.
1992
DELSOL – a numerical code for the solution of systems of delay- differential equations. Zbl 0747.65055
Willé, David R.; Baker, Christopher T. H.
1992
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
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.
1990
R-K formulae applied to Volterra equations with delay. Zbl 0716.65121
Baker, Christopher T. H.; Derakhshan, Mir S.
1990
Stability barriers to the construction of $$\{\rho,\sigma\}$$-reducible and fractional quadrature rules. Zbl 0652.65014
Baker, C. T. H.; Derakhshan, M. S.
1988
Runge-Kutta formulae applied to Volterra functional equations with a fixed delay. Zbl 0678.65096
Arndt, H.; Baker, C. T. H.
1988
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
1988
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
1988
FFT techniques in the numerical solution of convolution equations. Zbl 0629.65143
Baker, C. T. H.; Derakhshan, M. S.
1987
The state of the art in the numerical treatment of integral equations. Zbl 0615.65137
Baker, Christopher T. H.
1987
On the stability of predictor-corrector methods for parabolic equations with delay. Zbl 0623.65094
van der Houwen, P. J.; Sommeijer, B. P.; Baker, Christopher T. H.
1986
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0502.65078
Amini, Siamak; Baker, Christopher T. H.; van der Houwen, Pieter J.; Wolkenfelt, Paul H. M.
1983
Treatment of integral equations by numerical methods. Based on the Proceedings of a Symposium held in Durham from 19-29 July, 1982, organized under the auspices of the London Mathematical Society. (Dedicated to Leslie Fox, Professor of Numerical Analysis and Fellow of Balliol College, University of Oxford). Zbl 0499.00015
Baker, Christopher T. H.; Miller, Geoffrey F.
1982
An introduction to the numerical treatment of Volterra and Abel-type integral equations. Zbl 0501.65061
Baker, Christopher T. H.
1982
On the construction of stability polynomials for modified R-K methods for Volterra integro-differential equations. Zbl 0523.65087
Baker, Christopher T. H.; Wilkinson, Joan C.
1982
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second-kind Volterra integral equations. Zbl 0465.65071
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
1981
Stability analysis of Runge-Kutta methods applied to a basic Volterra integral equation. Zbl 0488.65069
Baker, Christopher T. H.; Wilkinson, Joan C.
1981
Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels. Zbl 0459.65091
Amini, S.; Baker, C. T. H.; van der Houwen, P. J.; Wolkenfelt, P. H. M.
1981
The numerical solution of nonlinear problems. Zbl 0484.65002
Baker, Christopher T. H.; Phillips, Chris
1981
Structure of recurrence relations in the study of stability in the numerical treatment of Volterra integral and integro-differential equations. Zbl 0448.65083
Baker, Christopher T. H.
1980
Runge-Kutta methods with error estimates for Volterra integral equations of the second kind. Zbl 0438.65108
Baker, Chr. T. H.; Riddell, I. J.; Keech, M. S.; Amini, S.
1980
Convergence and stability analysis for modified Runge-Kutta methods in the numerical treatment of second kind Volterra integral equations. Zbl 0443.65098
van der Houwen, P. J.; Wolkenfelt, P. H. M.; Baker, C. T. H.
1980
Regions of stability in the numerical treatment of Volterra integro- differential equations. Zbl 0428.65066
Baker, Christopher T. H.; Makroglou, Athena; Short, Edward
1979
Numerical integration in the treatment of integral equations. Zbl 0427.65092
Baker, Christopher T. H.
1979
Stability regions in the numerical treatment of Volterra integral equations. Zbl 0409.65056
Baker, Christopher T. H.; Keech, Malcolm S.
1978
Stability analysis of certain Runge-Kutta procedures for Volterra integral equations. Zbl 0407.65054
Baker, Christopher T. H.; Keech, Malcolm S.
1978
The numerical treatment of integral equations. Zbl 0373.65060
Baker, Christopher T. H.
1977
The deferred approach to the limit for eigenvalues of integral equations. Zbl 0217.53103
Baker, C. T. H.
1971
Asymptotic expansions for integration formulas in one or more dimensions. Zbl 0221.65049
Baker, Christopher T. H.; Hodgson, Graham S.
1971
Error bounds for some Chebyshev methods of approximation and integration. Zbl 0217.21302
Baker, C. T. H.; Radcliffe, P. A.
1970
On the nature of certain quadrature formulas and their errors. Zbl 0216.23101
Baker, C. T. H.
1969
Numerical solution of Fredholm integral equations of first kind. Zbl 0127.08403
Baker, C. T. H.; Fox, L.; Mayers, D. F.; Wright, K.
1964
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#### Cited by 1,135 Authors

 37 Baker, Christopher T. H. 23 Zhang, Chengjian 19 Huang, Chengming 17 Mao, Xuerong 16 Gan, Siqing 14 Song, Yihong 13 Vecchio, Antonia 12 Brunner, Hermann 12 Ford, Neville J. 12 Li, Shoufu 12 Wang, Wansheng 11 Bocharov, Gennady A. 11 Buckwar, Evelyn 11 Maleknejad, Khosrow 11 Selvadurai, A. Patrick S. 11 Wu, Fuke 10 Jackiewicz, Zdzislaw 10 Russo, Elvira 9 Guglielmi, Nicola 8 Abdi, Ali 8 Bellen, Alfredo 8 Luzyanina, Tatyana 8 Messina, Eleonora 8 Paul, Christopher A. H. 8 Roose, Dirk 7 Deng, Feiqi 7 Hojjati, Gholamreza 7 Liu, Linna 7 Wen, Liping 6 Crisci, Maria Rosaria 6 Golberg, Michael A. 6 Guo, Qian 6 Gyori, Istvan 6 Han, Guoqiang 6 Kulkarni, Rekha P. 6 Migda, Małgorzata 6 Rihan, Fathalla A. 6 Winkler, Renate 5 Cao, Wanrong 5 Hu, Liangjian 5 Liu, Mingzhu 5 Lu, Chun 5 Mao, Wei 5 Marchenko, Vladimir M. 5 Rane, Akshay S. 5 Vermiglio, Rossana 5 Yu, Yuexin 4 Appleby, John A. D. 4 Benchohra, Mouffak 4 Berenguer, María Isabel 4 Bianca, Carlo 4 Cahlon, Baruch 4 Carletti, Margherita 4 Dehghan Takht Fooladi, Mehdi 4 Ding, Xiaohua 4 Gan, Fah-Fatt 4 Gu, Chuanqing 4 Hosseini, Seyyed Ahmad 4 Hu, Guangda 4 Li, Qiyong 4 Makroglou, Athena 4 Mennouni, Abdelaziz 4 Milošević, Marija 4 Pham Huu Anh Ngoc 4 Rashed, M. T. 4 Reynolds, David W. 4 Schmeidel, Ewa L. 4 Singh, Brij Mohan 4 Tian, Hongjiong 4 Vandewalle, Stefan G. 4 Willé, David R. 4 Xiao, Aiguo 4 Zennaro, Marino 4 Zhou, Shaobo 3 Bakke, Vernon L. 3 Berezansky, Leonid M. 3 Boucekkine, Raouf 3 Calzada, Maria E. 3 Chen, Hao 3 Cong, Yuhao 3 Cuevas, Claudio 3 de Hoog, Frank Robert 3 Derakhshan, Mir S. 3 Derili, Hesamoddin 3 Edwards, John T. 3 Engelborghs, Koen 3 Enright, Wayne H. 3 Famelis, Ioannis Th. 3 Fan, Zhencheng 3 Fazeli, Somayyeh 3 Ford, Judith M. 3 Frankel, Jay I. 3 Gámez, Domingo 3 Guerrini, Luca 3 Hà Phi 3 Hansen, Per Christian 3 Higham, Desmond J. 3 Hu, Lin 3 Hu, Peng 3 Idels, Lev V. ...and 1,035 more Authors
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#### Cited in 182 Serials

 130 Journal of Computational and Applied Mathematics 101 Applied Mathematics and Computation 55 Applied Numerical Mathematics 32 Numerische Mathematik 28 Computers & Mathematics with Applications 25 International Journal of Computer Mathematics 24 Journal of Integral Equations and Applications 18 Journal of Mathematical Analysis and Applications 18 BIT 17 Numerical Algorithms 17 Abstract and Applied Analysis 16 Mathematics of Computation 16 Journal of Difference Equations and Applications 12 Computing 12 Mathematical and Computer Modelling 12 Advances in Difference Equations 11 Numerical Functional Analysis and Optimization 11 Applied Mathematical Modelling 9 Calcolo 8 Journal of the Franklin Institute 8 Discrete Dynamics in Nature and Society 7 Journal of Engineering Mathematics 7 Mathematics and Computers in Simulation 7 Applied Mathematics Letters 7 Journal of Statistical Computation and Simulation 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal of Applied Mathematics and Computing 6 International Journal of Engineering Science 6 Journal of Computational Physics 6 Journal of Mathematical Biology 6 Applied Mathematics and Mechanics. (English Edition) 6 Stochastic Analysis and Applications 5 Mathematical Biosciences 5 Integral Equations and Operator Theory 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Applicandae Mathematicae 5 Journal of Scientific Computing 5 Communications in Statistics. Simulation and Computation 5 Mathematical Problems in Engineering 5 Nonlinear Analysis. Real World Applications 5 BIT. Nordisk Tidskrift for Informationsbehandling 5 Journal of Theoretical Biology 4 Statistics & Probability Letters 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 LMS Journal of Computation and Mathematics 4 Differential Equations 4 Frontiers of Mathematics in China 4 Mathematical Sciences 3 Computer Methods in Applied Mechanics and Engineering 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Economic Dynamics & Control 3 SIAM Journal on Scientific Computing 3 Journal of Inverse and Ill-Posed Problems 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Mediterranean Journal of Mathematics 3 Nonlinear Analysis. Hybrid Systems 3 Afrika Matematika 2 Acta Mechanica 2 Computer Physics Communications 2 International Journal of Control 2 Chaos, Solitons and Fractals 2 Aplikace Matematiky 2 Applied Mathematics and Optimization 2 Automatica 2 Journal of Differential Equations 2 Insurance Mathematics & Economics 2 Science in China. Series A 2 Journal of Dynamics and Differential Equations 2 International Journal of Robust and Nonlinear Control 2 Applied and Computational Harmonic Analysis 2 Turkish Journal of Mathematics 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Mathematical Population Studies 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 Chaos 2 Data Mining and Knowledge Discovery 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Mathematical Biosciences and Engineering 2 International Journal of Biomathematics 2 Journal of Applied Analysis and Computation 2 Journal of Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers and Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica ...and 82 more Serials
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#### Cited in 36 Fields

 638 Numerical analysis (65-XX) 358 Integral equations (45-XX) 261 Ordinary differential equations (34-XX) 165 Probability theory and stochastic processes (60-XX) 77 Biology and other natural sciences (92-XX) 56 Partial differential equations (35-XX) 51 Difference and functional equations (39-XX) 50 Systems theory; control (93-XX) 42 Operator theory (47-XX) 31 Mechanics of deformable solids (74-XX) 30 Statistics (62-XX) 17 Approximations and expansions (41-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Computer science (68-XX) 12 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Fluid mechanics (76-XX) 8 Operations research, mathematical programming (90-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)