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Baker, Christopher Thomas Hale

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Author ID: baker.christopher-t-h Recent zbMATH articles by "Baker, Christopher Thomas Hale"
Published as: Baker, Christopher T. H.; Baker, C. T. H.; Baker, Chr. T. H.; Baker, Christopher
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Documents Indexed: 102 Publications since 1964, including 4 Books
6 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 47 Co-Authors with 87 Joint Publications
797 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 1,406 times in 999 Documents Cited by Year
The numerical treatment of integral equations. Zbl 0373.65060
Baker, Christopher T. H.
172
1977
The deferred approach to the limit for eigenvalues of integral equations. Zbl 0217.53103
Baker, C. T. H.
101
1971
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
94
2005
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
91
2000
Modern numerical methods for ordinary differential equations. Zbl 0348.65064
82
1976
A perspective on the numerical treatment of Volterra equations. Zbl 0976.65121
Baker, Christopher T. H.
60
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.
47
1995
Stability regions in the numerical treatment of Volterra integral equations. Zbl 0409.65056
Baker, Christopher T. H.; Keech, Malcolm S.
44
1978
Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
40
2000
Retarded differential equations. Zbl 0970.65079
Baker, Christopher T. H.
36
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.
28
1992
Regions of stability in the numerical treatment of Volterra integro- differential equations. Zbl 0428.65066
Baker, Christopher T. H.; Makroglou, Athena; Short, Edward
28
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.
25
1998
The tracking of derivative discontinuities in systems of delay- differential equations. Zbl 0747.65054
Willé, David R.; Baker, Christopher T. H.
24
1992
Discontinuous solutions of neutral delay differential equations. Zbl 1105.34055
Baker, Christopher T. H.; Paul, Christopher A. H.
24
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.
22
1986
Qualitative behaviour of numerical approximations to Volterra integro-differential equations. Zbl 1059.65129
Song, Yihong; Baker, Christopher T. H.
20
2004
Perturbation theory for discrete Volterra equations. Zbl 1049.39010
Song, Yihong; Baker, Christopher T. H.
19
2003
Generalized Halanay inequalities for Volterra functional differential equations and discretized versions. Zbl 0958.45005
Baker, Christopher T. H.; Tang, Arsalang
18
2000
Differential algebraic equations with after-effect. Zbl 0996.65077
Baker, C. T. H.; Paul, C. A. H.; Tian, H.
16
2002
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
16
1997
Linearized stability analysis of discrete Volterra equations. Zbl 1055.39020
Song, Yihong; Baker, Christopher T. H.
14
2004
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.
14
1996
Perturbation of Volterra difference equations. Zbl 1049.39011
Song, Yihong; Baker, Christopher T. H.
14
2004
DELSOL – a numerical code for the solution of systems of delay- differential equations. Zbl 0747.65055
Willé, David R.; Baker, Christopher T. H.
13
1992
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.
13
2005
Rival approaches to mathematical modelling in immunology. Zbl 1119.92037
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
13
2007
Computing stability regions-Runge-Kutta methods for delay differential equations. Zbl 0805.65082
Baker, Christopher T. H.; Paul, Christopher A. H.
13
1994
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.
13
1996
Periodic solutions of discrete Volterra equations. Zbl 1043.39002
Baker, Christopher T. H.; Song, Yihong
13
2004
Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag. Zbl 1196.65108
Baker, Christopher T. H.
12
2010
Admissibility for discrete Volterra equations. Zbl 1107.39012
Song, Yihong; Baker, Christopher T. H.
12
2006
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.
12
1997
Numerical solution of Fredholm integral equations of first kind. Zbl 0127.08403
Baker, C. T. H.; Fox, L.; Mayers, D. F.; Wright, K.
12
1964
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.
10
1981
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.
10
2005
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
10
1991
Convergence and stability of quadrature methods applied to Volterra equations with delay. Zbl 0764.65082
Baker, C. T. H.; Derakhshan, M. S.
9
1993
Stepsize control and continuity consistency for state-dependent delay- differential equations. Zbl 0814.65081
Willé, David R.; Baker, Christopher T. H.
9
1994
On the nature of certain quadrature formulas and their errors. Zbl 0216.23101
Baker, C. T. H.
9
1969
Asymptotic expansions for integration formulas in one or more dimensions. Zbl 0221.65049
Baker, Christopher T. H.; Hodgson, Graham S.
9
1971
Stability barriers to the construction of \(\{\rho,\sigma\}\)-reducible and fractional quadrature rules. Zbl 0652.65014
Baker, C. T. H.; Derakhshan, M. S.
8
1988
Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0824.65055
Baker, Christopher T. H.; Paul, Christopher A. H.
8
1993
Runge-Kutta formulae applied to Volterra functional equations with a fixed delay. Zbl 0678.65096
Arndt, H.; Baker, C. T. H.
7
1988
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.
7
1980
Pitfalls in parameter estimation for delay differential equations. Zbl 0867.65032
Baker, Christopher T. H.; Paul, Christopher A. H.
7
1997
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097
Baker, Christopher T. H.; Ford, Neville J.
6
1990
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.
6
1983
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
6
2005
Discrete Volterra operators, fixed point theorems and their application. Zbl 1034.39001
Baker, Christopher T. H.; Song, Yihong
6
2003
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
5
2004
Stability analysis of certain Runge-Kutta procedures for Volterra integral equations. Zbl 0407.65054
Baker, Christopher T. H.; Keech, Malcolm S.
5
1978
Numerical analysis of Volterra functional and integral equations. Zbl 0881.65140
Baker, Christopher T. H.
5
1997
Stability of grazing systems with infinite delays. Zbl 1017.92505
Baker, Christopher T. H.; Tang, Arsalang
5
1998
Computational aspects of time-lag models of Marchuk type that arise in immunology. Zbl 1081.65071
Baker, C. T. H.; Bocharov, G. A.
5
2005
Analysis via integral equations of an identification problem for delay differential equations. Zbl 1080.65121
Baker, Christopher T. H.; Parmuzin, Evgeny I.
5
2004
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.
5
1998
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
4
1988
Some aspects of causal and neutral equations used in modelling. Zbl 1163.93005
Baker, Christopher T. H.; Bocharov, Gennady; Parmuzin, Eugene; Rihan, Fathalla
4
2009
Periodic solutions of non-linear discrete Volterra equations with finite memory. Zbl 1193.45030
Baker, Christopher T. H.; Song, Yihong
4
2010
FFT techniques in the numerical solution of convolution equations. Zbl 0629.65143
Baker, C. T. H.; Derakhshan, M. S.
4
1987
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
4
1982
Identification of the initial function for nonlinear delay differential equations. Zbl 1088.34067
Baker, C. T. H.; Parmuzin, E. I.
3
2005
Analysis of numerical methods for second kind Volterra equations by imbedding techniques. Zbl 0451.65098
Wolkenfelt, P. H. M.; van der Houwen, P. J.; Baker, Chr. T. H.
3
1981
Neutral delay differential equations in the modelling of cell growth. Zbl 1167.93003
Baker, Christopher T. H.; Bocharov, Gennady A.; Rihan, Fathalla A.
3
2008
Stability analysis of Runge-Kutta methods applied to a basic Volterra integral equation. Zbl 0488.65069
Baker, Christopher T. H.; Wilkinson, Joan C.
3
1981
On the propagation of derivative discontinuities in Volterra retarded integro-differential equations. Zbl 0977.45003
Baker, Christopher T. H.; Willé, David R.
3
2000
R-K formulae applied to Volterra equations with delay. Zbl 0716.65121
Baker, Christopher T. H.; Derakhshan, Mir S.
3
1990
Identification of the initial function for discretized delay differential equations. Zbl 1072.65109
Baker, C. T. H.; Parmuzin, E. I.
2
2005
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2
2000
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
2
1988
On integral equation formulations of a class of evolutionary equations with time-lag. Zbl 1135.45002
Baker, Christopher T. H.; Lumb, Patricia M.
2
2006
An introduction to the numerical treatment of Volterra and Abel-type integral equations. Zbl 0501.65061
Baker, Christopher T. H.
2
1982
Error bounds for some Chebyshev methods of approximation and integration. Zbl 0217.21302
Baker, C. T. H.; Radcliffe, P. A.
2
1970
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096
Baker, Christopher T. H.; Ford, Neville J.
2
1993
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.
2
1981
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.
2
2013
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
2
2006
The state of the art in the numerical treatment of integral equations. Zbl 0615.65137
Baker, Christopher T. H.
1
1987
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.
1
1982
Initial function estimation for scalar neutral delay differential equations. Zbl 1172.34052
Baker, C. T. H.; Parmuzin, E. I.
1
2008
Numerical integration in the treatment of integral equations. Zbl 0427.65092
Baker, Christopher T. H.
1
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.
1
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.
1
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.
1
2001
The numerical solution of nonlinear problems. Zbl 0484.65002
1
1981
Propositions on the robustness of multistep formulae. Zbl 0884.65136
Baker, Christopher T. H.
1
1996
Non-negative convergent solutions of discrete Volterra equations. Zbl 1220.39003
Song, Yihong; Ni, Jingsong; Baker, Christopher T. H.
1
2011
Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061
Baker, Christopher T. H.; Ford, Neville J.
1
2020
Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061
Baker, Christopher T. H.; Ford, Neville J.
1
2020
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.
2
2013
Non-negative convergent solutions of discrete Volterra equations. Zbl 1220.39003
Song, Yihong; Ni, Jingsong; Baker, Christopher T. H.
1
2011
Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag. Zbl 1196.65108
Baker, Christopher T. H.
12
2010
Periodic solutions of non-linear discrete Volterra equations with finite memory. Zbl 1193.45030
Baker, Christopher T. H.; Song, Yihong
4
2010
Some aspects of causal and neutral equations used in modelling. Zbl 1163.93005
Baker, Christopher T. H.; Bocharov, Gennady; Parmuzin, Eugene; Rihan, Fathalla
4
2009
Neutral delay differential equations in the modelling of cell growth. Zbl 1167.93003
Baker, Christopher T. H.; Bocharov, Gennady A.; Rihan, Fathalla A.
3
2008
Initial function estimation for scalar neutral delay differential equations. Zbl 1172.34052
Baker, C. T. H.; Parmuzin, E. I.
1
2008
Rival approaches to mathematical modelling in immunology. Zbl 1119.92037
Andrew, Sarah M.; Baker, Christopher T. H.; Bocharov, Gennady A.
13
2007
Discontinuous solutions of neutral delay differential equations. Zbl 1105.34055
Baker, Christopher T. H.; Paul, Christopher A. H.
24
2006
Admissibility for discrete Volterra equations. Zbl 1107.39012
Song, Yihong; Baker, Christopher T. H.
12
2006
On integral equation formulations of a class of evolutionary equations with time-lag. Zbl 1135.45002
Baker, Christopher T. H.; Lumb, Patricia M.
2
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
2
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
94
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.
13
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.
10
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
6
2005
Computational aspects of time-lag models of Marchuk type that arise in immunology. Zbl 1081.65071
Baker, C. T. H.; Bocharov, G. A.
5
2005
Identification of the initial function for nonlinear delay differential equations. Zbl 1088.34067
Baker, C. T. H.; Parmuzin, E. I.
3
2005
Identification of the initial function for discretized delay differential equations. Zbl 1072.65109
Baker, C. T. H.; Parmuzin, E. I.
2
2005
Qualitative behaviour of numerical approximations to Volterra integro-differential equations. Zbl 1059.65129
Song, Yihong; Baker, Christopher T. H.
20
2004
Linearized stability analysis of discrete Volterra equations. Zbl 1055.39020
Song, Yihong; Baker, Christopher T. H.
14
2004
Perturbation of Volterra difference equations. Zbl 1049.39011
Song, Yihong; Baker, Christopher T. H.
14
2004
Periodic solutions of discrete Volterra equations. Zbl 1043.39002
Baker, Christopher T. H.; Song, Yihong
13
2004
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
5
2004
Analysis via integral equations of an identification problem for delay differential equations. Zbl 1080.65121
Baker, Christopher T. H.; Parmuzin, Evgeny I.
5
2004
Perturbation theory for discrete Volterra equations. Zbl 1049.39010
Song, Yihong; Baker, Christopher T. H.
19
2003
Discrete Volterra operators, fixed point theorems and their application. Zbl 1034.39001
Baker, Christopher T. H.; Song, Yihong
6
2003
Differential algebraic equations with after-effect. Zbl 0996.65077
Baker, C. T. H.; Paul, C. A. H.; Tian, H.
16
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.
1
2001
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
91
2000
A perspective on the numerical treatment of Volterra equations. Zbl 0976.65121
Baker, Christopher T. H.
60
2000
Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
40
2000
Retarded differential equations. Zbl 0970.65079
Baker, Christopher T. H.
36
2000
Generalized Halanay inequalities for Volterra functional differential equations and discretized versions. Zbl 0958.45005
Baker, Christopher T. H.; Tang, Arsalang
18
2000
On the propagation of derivative discontinuities in Volterra retarded integro-differential equations. Zbl 0977.45003
Baker, Christopher T. H.; Willé, David R.
3
2000
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2
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.
25
1998
Stability of grazing systems with infinite delays. Zbl 1017.92505
Baker, Christopher T. H.; Tang, Arsalang
5
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.
5
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
16
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.
12
1997
Pitfalls in parameter estimation for delay differential equations. Zbl 0867.65032
Baker, Christopher T. H.; Paul, Christopher A. H.
7
1997
Numerical analysis of Volterra functional and integral equations. Zbl 0881.65140
Baker, Christopher T. H.
5
1997
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.
14
1996
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.
13
1996
Propositions on the robustness of multistep formulae. Zbl 0884.65136
Baker, Christopher T. H.
1
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.
47
1995
Computing stability regions-Runge-Kutta methods for delay differential equations. Zbl 0805.65082
Baker, Christopher T. H.; Paul, Christopher A. H.
13
1994
Stepsize control and continuity consistency for state-dependent delay- differential equations. Zbl 0814.65081
Willé, David R.; Baker, Christopher T. H.
9
1994
Convergence and stability of quadrature methods applied to Volterra equations with delay. Zbl 0764.65082
Baker, C. T. H.; Derakhshan, M. S.
9
1993
Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations. Zbl 0824.65055
Baker, Christopher T. H.; Paul, Christopher A. H.
8
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.
2
1993
Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111
Baker, Christopher T. H.; Ford, Neville J.
28
1992
The tracking of derivative discontinuities in systems of delay- differential equations. Zbl 0747.65054
Willé, David R.; Baker, Christopher T. H.
24
1992
DELSOL – a numerical code for the solution of systems of delay- differential equations. Zbl 0747.65055
Willé, David R.; Baker, Christopher T. H.
13
1992
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
10
1991
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097
Baker, Christopher T. H.; Ford, Neville J.
6
1990
R-K formulae applied to Volterra equations with delay. Zbl 0716.65121
Baker, Christopher T. H.; Derakhshan, Mir S.
3
1990
Stability barriers to the construction of \(\{\rho,\sigma\}\)-reducible and fractional quadrature rules. Zbl 0652.65014
Baker, C. T. H.; Derakhshan, M. S.
8
1988
Runge-Kutta formulae applied to Volterra functional equations with a fixed delay. Zbl 0678.65096
Arndt, H.; Baker, C. T. H.
7
1988
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
4
1988
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
2
1988
FFT techniques in the numerical solution of convolution equations. Zbl 0629.65143
Baker, C. T. H.; Derakhshan, M. S.
4
1987
The state of the art in the numerical treatment of integral equations. Zbl 0615.65137
Baker, Christopher T. H.
1
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.
22
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.
6
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
4
1982
An introduction to the numerical treatment of Volterra and Abel-type integral equations. Zbl 0501.65061
Baker, Christopher T. H.
2
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.
1
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.
10
1981
Analysis of numerical methods for second kind Volterra equations by imbedding techniques. Zbl 0451.65098
Wolkenfelt, P. H. M.; van der Houwen, P. J.; Baker, Chr. T. H.
3
1981
Stability analysis of Runge-Kutta methods applied to a basic Volterra integral equation. Zbl 0488.65069
Baker, Christopher T. H.; Wilkinson, Joan C.
3
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.
2
1981
The numerical solution of nonlinear problems. Zbl 0484.65002
1
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.
7
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.
1
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.
1
1980
Regions of stability in the numerical treatment of Volterra integro- differential equations. Zbl 0428.65066
Baker, Christopher T. H.; Makroglou, Athena; Short, Edward
28
1979
Numerical integration in the treatment of integral equations. Zbl 0427.65092
Baker, Christopher T. H.
1
1979
Stability regions in the numerical treatment of Volterra integral equations. Zbl 0409.65056
Baker, Christopher T. H.; Keech, Malcolm S.
44
1978
Stability analysis of certain Runge-Kutta procedures for Volterra integral equations. Zbl 0407.65054
Baker, Christopher T. H.; Keech, Malcolm S.
5
1978
The numerical treatment of integral equations. Zbl 0373.65060
Baker, Christopher T. H.
172
1977
Modern numerical methods for ordinary differential equations. Zbl 0348.65064
82
1976
The deferred approach to the limit for eigenvalues of integral equations. Zbl 0217.53103
Baker, C. T. H.
101
1971
Asymptotic expansions for integration formulas in one or more dimensions. Zbl 0221.65049
Baker, Christopher T. H.; Hodgson, Graham S.
9
1971
Error bounds for some Chebyshev methods of approximation and integration. Zbl 0217.21302
Baker, C. T. H.; Radcliffe, P. A.
2
1970
On the nature of certain quadrature formulas and their errors. Zbl 0216.23101
Baker, C. T. H.
9
1969
Numerical solution of Fredholm integral equations of first kind. Zbl 0127.08403
Baker, C. T. H.; Fox, L.; Mayers, D. F.; Wright, K.
12
1964
all top 5

Cited by 1,243 Authors

37 Baker, Christopher Thomas Hale
24 Zhang, Chengjian
21 Huang, Chengming
17 Mao, Xuerong
16 Gan, Siqing
16 Vecchio, Antonia
14 Song, Yihong
14 Wang, Wansheng
12 Brunner, Hermann
12 Ford, Neville J.
12 Li, Shoufu
12 Russo, Elvira
11 Bocharov, Gennady A.
11 Buckwar, Evelyn
11 Maleknejad, Khosrow
11 Messina, Eleonora
11 Selvadurai, A. Patrick S.
11 Wu, Fuke
10 Jackiewicz, Zdzislaw
9 Abdi, Ali
9 Guglielmi, Nicola
8 Bellen, Alfredo
8 Deng, Feiqi
8 Hojjati, Gholamreza
8 Liu, Linna
8 Luzyanina, Tatyana
8 Paul, Christopher A. H.
8 Roose, Dirk
8 Wen, Liping
7 Guo, Qian
7 Han, Guoqiang
6 Crisci, Maria Rosaria
6 Ding, Xiaohua
6 Golberg, Michael A.
6 Gyori, Istvan
6 Kulkarni, Rekha P.
6 Liu, Mingzhu
6 Lu, Chun
6 Migda, Małgorzata
6 Rihan, Fathalla A.
6 Winkler, Renate
6 Xiao, Aiguo
6 Yuan, Haiyan
5 Appleby, John A. D.
5 Benchohra, Mouffak
5 Cao, Wanrong
5 Hosseini, Seyyed Ahmad
5 Hu, Liangjian
5 Mao, Wei
5 Marchenko, Vladimir M.
5 Pham Huu Anh Ngoc
5 Rane, Akshay S.
5 Tian, Hongjiong
5 Vermiglio, Rossana
5 Yu, Yuexin
5 Yuan, Chenggui
4 Amiraliyev, Gabil M.
4 Berenguer, María Isabel
4 Bianca, Carlo
4 Cahlon, Baruch
4 Carletti, Margherita
4 Dehghan Takht Fooladi, Mehdi
4 Fazeli, Somayyeh
4 Gan, Fah-Fatt
4 Gu, Chuanqing
4 Hu, Guangda
4 Hu, Lin
4 Huang, Jun
4 Li, Qiyong
4 Lin, Fu-Rong
4 Makroglou, Athena
4 Mennouni, Abdelaziz
4 Milošević, Marija
4 Parmuzin, Eugene I.
4 Rashed, M. T.
4 Reynolds, David W.
4 Schmeidel, Ewa L.
4 Singh, Brij Mohan
4 Vandewalle, Stefan G.
4 Willé, David R.
4 Yan, Xiaoqiang
4 Yi, Lijun
4 Zennaro, Marino
4 Zhou, Shaobo
3 Ahmadian, Davood
3 Allouch, Chafik
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.
...and 1,143 more Authors
all top 5

Cited in 200 Serials

133 Journal of Computational and Applied Mathematics
109 Applied Mathematics and Computation
60 Applied Numerical Mathematics
35 International Journal of Computer Mathematics
32 Numerische Mathematik
28 Computers & Mathematics with Applications
26 Journal of Integral Equations and Applications
19 Journal of Mathematical Analysis and Applications
19 Numerical Algorithms
18 BIT
17 Mathematics of Computation
17 Journal of Difference Equations and Applications
17 Abstract and Applied Analysis
13 Advances in Difference Equations
12 Computing
12 Mathematical and Computer Modelling
12 Applied Mathematical Modelling
11 Calcolo
11 Numerical Functional Analysis and Optimization
9 Mathematics and Computers in Simulation
9 Computational and Applied Mathematics
9 Discrete Dynamics in Nature and Society
8 Journal of the Franklin Institute
8 Chaos, Solitons and Fractals
8 Applied Mathematics Letters
7 Journal of Engineering Mathematics
7 Stochastic Analysis and Applications
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 Journal of Scientific Computing
5 International Journal of Control
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 Communications in Statistics. Simulation and Computation
5 Mathematical Problems in Engineering
5 Nonlinear Analysis. Real World Applications
5 BIT. Nordisk Tidskrift for Informationsbehandling
5 Frontiers of Mathematics in China
5 Journal of Theoretical Biology
4 Statistics & Probability Letters
4 Advances in Computational Mathematics
4 Journal of Inequalities and Applications
4 LMS Journal of Computation and Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
4 Differential Equations
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 Physica A
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 Chaos
2 Data Mining and Knowledge Discovery
2 Acta Mathematica Sinica. English Series
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 the Mechanics and Physics of Solids
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
...and 100 more Serials
all top 5

Cited in 37 Fields

690 Numerical analysis (65-XX)
377 Integral equations (45-XX)
292 Ordinary differential equations (34-XX)
190 Probability theory and stochastic processes (60-XX)
83 Biology and other natural sciences (92-XX)
59 Partial differential equations (35-XX)
57 Systems theory; control (93-XX)
53 Difference and functional equations (39-XX)
44 Operator theory (47-XX)
31 Statistics (62-XX)
31 Mechanics of deformable solids (74-XX)
18 Real functions (26-XX)
18 Approximations and expansions (41-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Dynamical systems and ergodic theory (37-XX)
14 Computer science (68-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 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)
5 Optics, electromagnetic theory (78-XX)
4 Special functions (33-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Harmonic analysis on Euclidean spaces (42-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)

Citations by Year