Edit Profile (opens in new tab) Lambert, J. D. Co-Author Distance Author ID: lambert.j-d Published as: Lambert, J. D. Documents Indexed: 31 Publications since 1962, including 2 Books 1 Further Contribution Co-Authors: 7 Co-Authors with 12 Joint Publications 140 Co-Co-Authors all top 5 Co-Authors 15 single-authored 3 Mitchell, Andrew Ronald 3 Shaw, Brian 2 Blondia, Chris 2 Budden, Mark R. 2 Sigurðsson, Sven Þ. 2 Van Houdt, Benny 1 Alfeld, Peter 1 Atanasov, Risto 1 Baker, Christopher Thomas Hale 1 Brunner, Hermann 1 Butcher, John C. 1 Calkins, Nicole 1 Delves, L. M. 1 Gladwell, Ian 1 Hack, William Nathan 1 Henell, M. A. 1 McLeod, Robin J. Y. 1 Penland, Andrew 1 Prothero, A. 1 Robertson, H. N. 1 Thompson, Kimberly 1 Wait, R. 1 Watson, I. A. 1 Watt, J. M. all top 5 Serials 4 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of the Institute of Mathematics and its Applications 1 BIT 1 The Computer Journal. Section A / Section B 1 Computing 1 Numerische Mathematik 1 Computers & Operations Research 1 Acta Mathematica Universitatis Comenianae. New Series 1 Computers and Mathematics with Applications. Part B 1 Stochastic Models 1 Acta Universitatis Apulensis. Mathematics - Informatics all top 5 Fields 22 Numerical analysis (65-XX) 6 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 1,887 times in 1,615 Documents Cited by ▼ Year ▼ Numerical methods for ordinary differential systems: the initial value problem. Zbl 0745.65049 Lambert, J. D. 664 1991 Computational methods in ordinary differential equations. Zbl 0258.65069 Lambert, J. D. 620 1973 Symmetric multistep methods for periodic initial value problems. Zbl 0359.65060 Lambert, J. D.; Watson, I. A. 410 1976 Modern numerical methods for ordinary differential equations. Zbl 0348.65064 98 1976 Stability of numerical methods for Volterra integro-differential equations. Zbl 0282.65088 Brunner, H.; Lambert, J. D. 51 1974 Nonlinear methods for stiff systems of ordinary differential equations. Zbl 0327.65056 Lambert, J. D. 27 1974 On the solution of \(y' = f(x,y)\) by a class of high accuracy difference formulae of low order. Zbl 0111.12801 Lambert, J. D.; Mitchell, A. R. 22 1962 On the numerical solution of \(y' = f(x,y)\) by a class of formulae based on rational approximation. Zbl 0131.14402 Lambert, J. D.; Shaw, Brian 16 1965 Multistep methods with variable matrix coefficients. Zbl 0246.65024 Lambert, J. D.; Sigurdsson, S. T. 13 1972 Correction in the dominant space: A numerical technique for a certain class of stiff initial value problems. Zbl 0391.65031 Alfeld, P.; Lambert, J. D. 12 1977 A method for the numerical solution of \(y' = f(x,y)\) based on a self- adjusting non-polynomial interpolant. Zbl 0133.38205 Lambert, J. D.; Shaw, B. 11 1966 Stiffness. Zbl 0462.65047 Lambert, J. D. 10 1980 A generalisation of multistep methods for ordinary differential equations. Zbl 0196.49502 Lambert, J. D.; Shaw, Brian 8 1966 Queues with correlated service and inter-arrival times and their application to optical buffers. Zbl 1093.60067 Lambert, J.; Van Houdt, B.; Blondia, C. 6 2006 Linear multistep methods with mildly varying coefficients. Zbl 0199.50204 Lambert, J. D. 5 1970 Safe point methods for separably stiff systems of ordinary differential equations. Zbl 0462.65048 Lambert, J. D. 4 1981 Numerical methods for phase-plane problems in ordinary differential equations. Zbl 0438.65065 Lambert, J. D.; McLeod, R. J. Y. 3 1980 On certain induced subgraphs of Paley graphs. Zbl 1389.05077 Atanasov, R.; Budden, M.; Lambert, J.; Murphy, K.; Penland, A. 2 2014 The use of higher derivatives in quadrature formulae. Zbl 0171.37201 Lambert, J. D.; Mitchell, A. R. 2 1963 Queues in DOCSIS cable modem networks. Zbl 1179.90080 Lambert, J.; van Houdt, B.; Blondia, C. 2 2008 The numerical integration of a special class of stiff differential systems. Zbl 0358.65061 Lambert, J. D. 2 1976 On the local error and the local truncation error of linear multistep methods. Zbl 0716.65063 Lambert, J. D. 2 1990 Repeated quadrature using derivatives of the integrand. Zbl 0213.42201 Lambert, J. D.; Mitchell, A. R. 1 1964 A stable sequence of steplengths for Euler’s rule applied to stiff systems of differential equations. Zbl 0625.65058 Lambert, J. D. 1 1986 Frequency fitting in the numerical solution of ordinary differential equations. Zbl 0382.65030 Lambert, J. D. 1 1978 Safe point methods for separably stiff systems. Zbl 0434.65047 Lambert, J. D. 1 1979 Variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations. Zbl 0354.65044 Lambert, J. D. 1 1975 Dirichlet character difference graphs. Zbl 1324.05083 Budden, M.; Calkins, N.; Hack, W. N.; Lambert, J.; Thompson, K. 1 2013 On certain induced subgraphs of Paley graphs. Zbl 1389.05077 Atanasov, R.; Budden, M.; Lambert, J.; Murphy, K.; Penland, A. 2 2014 Dirichlet character difference graphs. Zbl 1324.05083 Budden, M.; Calkins, N.; Hack, W. N.; Lambert, J.; Thompson, K. 1 2013 Queues in DOCSIS cable modem networks. Zbl 1179.90080 Lambert, J.; van Houdt, B.; Blondia, C. 2 2008 Queues with correlated service and inter-arrival times and their application to optical buffers. Zbl 1093.60067 Lambert, J.; Van Houdt, B.; Blondia, C. 6 2006 Numerical methods for ordinary differential systems: the initial value problem. Zbl 0745.65049 Lambert, J. D. 664 1991 On the local error and the local truncation error of linear multistep methods. Zbl 0716.65063 Lambert, J. D. 2 1990 A stable sequence of steplengths for Euler’s rule applied to stiff systems of differential equations. Zbl 0625.65058 Lambert, J. D. 1 1986 Safe point methods for separably stiff systems of ordinary differential equations. Zbl 0462.65048 Lambert, J. D. 4 1981 Stiffness. Zbl 0462.65047 Lambert, J. D. 10 1980 Numerical methods for phase-plane problems in ordinary differential equations. Zbl 0438.65065 Lambert, J. D.; McLeod, R. J. Y. 3 1980 Safe point methods for separably stiff systems. Zbl 0434.65047 Lambert, J. D. 1 1979 Frequency fitting in the numerical solution of ordinary differential equations. Zbl 0382.65030 Lambert, J. D. 1 1978 Correction in the dominant space: A numerical technique for a certain class of stiff initial value problems. Zbl 0391.65031 Alfeld, P.; Lambert, J. D. 12 1977 Symmetric multistep methods for periodic initial value problems. Zbl 0359.65060 Lambert, J. D.; Watson, I. A. 410 1976 Modern numerical methods for ordinary differential equations. Zbl 0348.65064 98 1976 The numerical integration of a special class of stiff differential systems. Zbl 0358.65061 Lambert, J. D. 2 1976 Variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations. Zbl 0354.65044 Lambert, J. D. 1 1975 Stability of numerical methods for Volterra integro-differential equations. Zbl 0282.65088 Brunner, H.; Lambert, J. D. 51 1974 Nonlinear methods for stiff systems of ordinary differential equations. Zbl 0327.65056 Lambert, J. D. 27 1974 Computational methods in ordinary differential equations. Zbl 0258.65069 Lambert, J. D. 620 1973 Multistep methods with variable matrix coefficients. Zbl 0246.65024 Lambert, J. D.; Sigurdsson, S. T. 13 1972 Linear multistep methods with mildly varying coefficients. Zbl 0199.50204 Lambert, J. D. 5 1970 A method for the numerical solution of \(y' = f(x,y)\) based on a self- adjusting non-polynomial interpolant. Zbl 0133.38205 Lambert, J. D.; Shaw, B. 11 1966 A generalisation of multistep methods for ordinary differential equations. Zbl 0196.49502 Lambert, J. D.; Shaw, Brian 8 1966 On the numerical solution of \(y' = f(x,y)\) by a class of formulae based on rational approximation. Zbl 0131.14402 Lambert, J. D.; Shaw, Brian 16 1965 Repeated quadrature using derivatives of the integrand. Zbl 0213.42201 Lambert, J. D.; Mitchell, A. R. 1 1964 The use of higher derivatives in quadrature formulae. Zbl 0171.37201 Lambert, J. D.; Mitchell, A. R. 2 1963 On the solution of \(y' = f(x,y)\) by a class of high accuracy difference formulae of low order. Zbl 0111.12801 Lambert, J. D.; Mitchell, A. R. 22 1962 all cited Publications top 5 cited Publications all top 5 Cited by 1,551 Authors 194 Simos, Theodore E. 42 Ramos, Higinio 30 Alolyan, Ibraheem 29 Zlatev, Zahari 28 Jackiewicz, Zdzislaw 26 Vigo-Aguiar, Jesus 25 Jator, Samuel N. 24 Senu, Norazak 22 Ismail, Fudziah Bt. 19 Lin, Chialiang 19 Vanden Berghe, Guido 18 Chawla, Man M. 18 Twizell, E. H. 17 Evans, David John 17 Suleiman, Mohamed Bin 17 Wu, Xinyuan 16 Tsitouras, Charalampos 15 D’Ambrosio, Raffaele 15 Fang, Yonglei 15 Ikhile, Monday Ndidi Oziegbe 15 Paternoster, Beatrice 15 Van Daele, Marnix 14 You, Xiong 13 De Meyer, Hans E. 13 Ibrahim, Zarina Bibi Binti 13 Medvedev, Maxim A. 12 Anastassi, Zacharias A. 12 Fatunla, Simeon Ola 12 Majid, Zanariah Abdul 11 Abdi, Ali 11 Faragó, István 11 Hojjati, Gholamreza 11 Okunuga, Solomon A. 11 Van de Vyver, Hans 11 van der Houwen, Pieter J. 10 Cash, Jeff R. 10 Havasi, Ágnes 10 Price, W. Geraint 10 Sommeijer, Ben P. 9 Hu, Guangda 9 Ixaru, Liviu Gr. 9 Khaliq, Abdul Q. M. 9 Konguetsof, Avrilia 9 Li, Qinghong 9 Medvedeva, Marina A. 9 Mehra, Mani 9 Singh, Gurjinder 9 Wang, Zhongcheng 8 Arenas, Abraham J. 8 Georgiev, Krassimir 8 Gumel, Abba B. 8 Kanwar, Vinay 8 Khalsaraei, Mohammad Mehdizadeh 8 Li, Jiyong 8 Neta, Beny 8 Nguyen-Ba, Truong 8 Tian, Hongjiong 7 Abdulganiy, Ridwanulahi Iyanda 7 Dimov, Ivan Todor 7 Ford, Neville J. 7 Jain, Mahinder Kumar 7 Jain, Rakesh Kumar 7 Liu, Chenglian 7 Martín-Vaquero, Jesús 7 Mitsui, Taketomo 7 Ramos, Juan I. 7 Trigiante, Donato 7 Vaillancourt, Rémi 7 Vecchio, Antonia 6 Conte, Dajana 6 Dehghan Takht Fooladi, Mehdi 6 Famelis, Ioannis Th. 6 Garcia-Rubio, Raquel 6 González-Parra, Gilberto C. 6 Huang, Chengming 6 Izzo, Giuseppe 6 Jódar Sanchez, Lucas Antonio 6 Okuonghae, Robert I. 6 Panopoulos, G. A. 6 Wang, Junjun 6 Wang, Zhongqing 6 Wen, Pihua 6 Yi, Lijun 5 Al-Zanaidi, Mansour A. 5 Alfeld, Peter 5 Awoyemi, David O. 5 Biala, Toheeb A. 5 Butcher, John C. 5 Chen, Zhimin 5 Cong, Yuhao 5 Dai, Yongming 5 Ding, Xiaohua 5 Djidjeli, K. 5 Ehigie, Julius Osato 5 Fedorov, Ruslan V. 5 Fung, Tsz Chai 5 García-Alonso, Fernando 5 Garey, Lawrence Edmund 5 Ghelardoni, Paolo 5 Gladwin, Charles J. ...and 1,451 more Authors all top 5 Cited in 218 Serials 185 Journal of Computational and Applied Mathematics 158 Journal of Mathematical Chemistry 126 Applied Mathematics and Computation 87 International Journal of Computer Mathematics 84 Computers & Mathematics with Applications 75 Applied Numerical Mathematics 70 Journal of Computational Physics 44 Computer Methods in Applied Mechanics and Engineering 41 BIT 40 Numerical Algorithms 37 Computer Physics Communications 28 Numerische Mathematik 24 Computing 23 Mathematics and Computers in Simulation 21 Journal of the Nigerian Mathematical Society 18 Applied Mathematical Modelling 17 Mathematics of Computation 17 Mathematical and Computer Modelling 15 Applied Mathematics Letters 15 Computational and Applied Mathematics 15 Mathematical Problems in Engineering 14 International Journal of Modern Physics C 14 BIT. Nordisk Tidskrift for Informationsbehandling 13 Calcolo 13 Journal of Scientific Computing 11 Journal of Difference Equations and Applications 10 International Journal for Numerical Methods in Engineering 10 Journal of Applied Mathematics 10 International Journal of Applied and Computational Mathematics 9 Computers and Fluids 9 Afrika Matematika 8 Journal of Applied Mathematics and Computing 7 Journal of Mathematical Analysis and Applications 7 Chaos, Solitons and Fractals 7 Communications in Numerical Methods in Engineering 7 Abstract and Applied Analysis 6 Aplikace Matematiky 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Mediterranean Journal of Mathematics 5 Advances in Difference Equations 5 Advances in Applied Mathematics and Mechanics 4 Journal of Engineering Mathematics 4 Journal of the Franklin Institute 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Computational Mathematics 4 Physica D 4 Journal of Integral Equations and Applications 4 Japan Journal of Industrial and Applied Mathematics 4 Celestial Mechanics 4 Advances in Computational Mathematics 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Computational Methods 4 International Journal of Biomathematics 4 International Journal of Differential Equations 3 Acta Mechanica 3 Applicable Analysis 3 International Journal of Mathematical Education in Science and Technology 3 Mathematical Biosciences 3 Molecular Simulation 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Numerical Functional Analysis and Optimization 3 RAIRO. Analyse Numérique 3 Acta Mathematicae Applicatae Sinica. English Series 3 Computers & Operations Research 3 Numerical Methods for Partial Differential Equations 3 Computers and Mathematics with Applications. Part A 3 SIAM Journal on Scientific Computing 3 Engineering Analysis with Boundary Elements 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Mathematical Modelling and Analysis 3 Journal of the Korean Society for Industrial and Applied Mathematics 3 Malaysian Journal of Mathematical Sciences 2 Communications in Mathematical Physics 2 International Journal of Systems Science 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 ACM Transactions on Mathematical Software 2 Automatica 2 Journal of Optimization Theory and Applications 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Journal of Complexity 2 Computational Mechanics 2 Linear Algebra and its Applications 2 Computers and Mathematics with Applications. Part B 2 Celestial Mechanics and Dynamical Astronomy 2 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 2 Journal of Mathematical Imaging and Vision 2 Advances in Engineering Software 2 Turkish Journal of Mathematics 2 Journal of Vibration and Control 2 Differential Equations and Dynamical Systems 2 LMS Journal of Computation and Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 118 more Serials all top 5 Cited in 41 Fields 1,437 Numerical analysis (65-XX) 615 Ordinary differential equations (34-XX) 175 Partial differential equations (35-XX) 100 Quantum theory (81-XX) 98 Fluid mechanics (76-XX) 84 Integral equations (45-XX) 81 Biology and other natural sciences (92-XX) 53 Mechanics of deformable solids (74-XX) 38 Mechanics of particles and systems (70-XX) 37 Dynamical systems and ergodic theory (37-XX) 31 Systems theory; control (93-XX) 28 Probability theory and stochastic processes (60-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Approximations and expansions (41-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 Computer science (68-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 14 Geophysics (86-XX) 13 Operator theory (47-XX) 13 Operations research, mathematical programming (90-XX) 12 Difference and functional equations (39-XX) 11 Statistics (62-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 7 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year