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Author ID: lucas.stephen-k Recent zbMATH articles by "Lucas, Stephen K."
Published as: Lucas, S. K.; Lucas, Stephen K.; Lucas, Stephen; Lucas, Stephen K; Lucas, S.
Documents Indexed: 32 Publications since 1991
Co-Authors: 39 Co-Authors with 24 Joint Publications
803 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 149 times in 123 Documents Cited by Year
Evaluating infinite integrals involving products of Bessel functions of arbitrary order. Zbl 0853.65028
Lucas, S. K.
22
1995
A mathematical study of peristaltic transport of a Casson fluid. Zbl 1022.76058
Mernone, A. V.; Mazumdar, J. N.; Lucas, S. K.
18
2002
Evaluating infinite integrals involving Bessel functions of arbitrary order. Zbl 0857.65025
Lucas, S. K.; Stone, H. A.
15
1995
Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions. Zbl 1305.65105
Ratnanather, J. Tilak; Kim, Jung H.; Zhang, Sirong; Davis, Anthony M. J.; Lucas, Stephen K.
13
2014
Computations for bang-bang constrained optimal control using a mathematical programming formulation. Zbl 1073.49019
Kaya, C. Yalçın; Lucas, Stephen K.; Simakov, Sergey T.
12
2004
A boundary-integral method applied to water coning in oil reservoirs. Zbl 0716.76073
Lucas, S. K.; Blake, J. R.; Kucera, A.
11
1991
Boundedness of generalized Cesàro averaging operators on certain function spaces. Zbl 1080.30032
Agrawal, M. R.; Howlett, P. G.; Lucas, S. K.; Naik, S.; Ponnusamy, S.
10
2005
A boundary integral method applied to the 3D water coning problem. Zbl 1027.76615
Lucas, S. K.; Kucera, A.
7
1996
Clustering of spectra and fractals of regular graphs. Zbl 1118.05062
Ejov, V.; Filar, J. A.; Lucas, S. K.; Zograf, P.
6
2007
The Monty Hall problem, reconsidered. Zbl 1227.91017
Lucas, Stephen; Rosenhouse, Jason; Schepler, Andrew
5
2009
Capillary wave scattering from a surfactant domain. Zbl 1032.76517
Chou, T.; Lucas, S. K.; Stone, H. A.
5
1995
An integral equation solution for the steady-state current at a periodic array of surface microelectrodes. Zbl 0902.92026
Lucas, S. K.; Sipcic, R.; Stone, H. A.
4
1997
Gröbner basis representations of sudoku. Zbl 1272.97031
Arnold, Elizabeth; Lucas, Stephen; Taalman, Laura
4
2010
Connected co-spectral graphs are not necessarily both Hamiltonian. Zbl 1110.05318
Filar, J. A.; Gupta, Anju; Lucas, S. K.
3
2005
Solving the Hamiltonian cycle problem using symbolic determinants. Zbl 1101.05042
Ejov, V.; Filar, J. A.; Lucas, S. K.; Nelson, J. L.
2
2006
Approximations to \(\pi\) derived from integrals with nonnegative integrands. Zbl 1179.26008
Lucas, Stephen K
2
2009
Integral proofs that \(355/113>\pi\). Zbl 1181.11077
Lucas, Stephen K.
2
2005
On the contact of a rigid sphere and a thin plate. Zbl 1124.74317
Thredgold, J. M.; Lucas, S. K.; Howlett, P. G.
2
2006
Nest graphs and minimal complete symmetry groups for magic Sudoku variants. Zbl 1325.05041
Arnold, E.; Field, R.; Lorch, J.; Lucas, S.; Taalman, L.
2
2015
Connections between power series methods and automatic differentiation. Zbl 1251.65023
Carothers, David C.; Lucas, Stephen K.; Parker, G. Edgar; Rudmin, Joseph D.; Sochacki, James S.; Thelwell, Roger J.; Tongen, Anthony; Warne, Paul G.
2
2012
Minimal complete Shidoku symmetry groups. Zbl 1291.05088
Arnold, Elizabeth; Field, Rebecca; Lucas, Stephen; Taalman, Laura
1
2013
Ideal spatial graph configurations. Zbl 07614253
Lucas, Stephen K.; Taalman, Laura
1
2022
Ideal spatial graph configurations. Zbl 07614253
Lucas, Stephen K.; Taalman, Laura
1
2022
Nest graphs and minimal complete symmetry groups for magic Sudoku variants. Zbl 1325.05041
Arnold, E.; Field, R.; Lorch, J.; Lucas, S.; Taalman, L.
2
2015
Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions. Zbl 1305.65105
Ratnanather, J. Tilak; Kim, Jung H.; Zhang, Sirong; Davis, Anthony M. J.; Lucas, Stephen K.
13
2014
Minimal complete Shidoku symmetry groups. Zbl 1291.05088
Arnold, Elizabeth; Field, Rebecca; Lucas, Stephen; Taalman, Laura
1
2013
Connections between power series methods and automatic differentiation. Zbl 1251.65023
Carothers, David C.; Lucas, Stephen K.; Parker, G. Edgar; Rudmin, Joseph D.; Sochacki, James S.; Thelwell, Roger J.; Tongen, Anthony; Warne, Paul G.
2
2012
Gröbner basis representations of sudoku. Zbl 1272.97031
Arnold, Elizabeth; Lucas, Stephen; Taalman, Laura
4
2010
The Monty Hall problem, reconsidered. Zbl 1227.91017
Lucas, Stephen; Rosenhouse, Jason; Schepler, Andrew
5
2009
Approximations to \(\pi\) derived from integrals with nonnegative integrands. Zbl 1179.26008
Lucas, Stephen K
2
2009
Clustering of spectra and fractals of regular graphs. Zbl 1118.05062
Ejov, V.; Filar, J. A.; Lucas, S. K.; Zograf, P.
6
2007
Solving the Hamiltonian cycle problem using symbolic determinants. Zbl 1101.05042
Ejov, V.; Filar, J. A.; Lucas, S. K.; Nelson, J. L.
2
2006
On the contact of a rigid sphere and a thin plate. Zbl 1124.74317
Thredgold, J. M.; Lucas, S. K.; Howlett, P. G.
2
2006
Boundedness of generalized Cesàro averaging operators on certain function spaces. Zbl 1080.30032
Agrawal, M. R.; Howlett, P. G.; Lucas, S. K.; Naik, S.; Ponnusamy, S.
10
2005
Connected co-spectral graphs are not necessarily both Hamiltonian. Zbl 1110.05318
Filar, J. A.; Gupta, Anju; Lucas, S. K.
3
2005
Integral proofs that \(355/113>\pi\). Zbl 1181.11077
Lucas, Stephen K.
2
2005
Computations for bang-bang constrained optimal control using a mathematical programming formulation. Zbl 1073.49019
Kaya, C. Yalçın; Lucas, Stephen K.; Simakov, Sergey T.
12
2004
A mathematical study of peristaltic transport of a Casson fluid. Zbl 1022.76058
Mernone, A. V.; Mazumdar, J. N.; Lucas, S. K.
18
2002
An integral equation solution for the steady-state current at a periodic array of surface microelectrodes. Zbl 0902.92026
Lucas, S. K.; Sipcic, R.; Stone, H. A.
4
1997
A boundary integral method applied to the 3D water coning problem. Zbl 1027.76615
Lucas, S. K.; Kucera, A.
7
1996
Evaluating infinite integrals involving products of Bessel functions of arbitrary order. Zbl 0853.65028
Lucas, S. K.
22
1995
Evaluating infinite integrals involving Bessel functions of arbitrary order. Zbl 0857.65025
Lucas, S. K.; Stone, H. A.
15
1995
Capillary wave scattering from a surfactant domain. Zbl 1032.76517
Chou, T.; Lucas, S. K.; Stone, H. A.
5
1995
A boundary-integral method applied to water coning in oil reservoirs. Zbl 0716.76073
Lucas, S. K.; Blake, J. R.; Kucera, A.
11
1991
all top 5

Cited by 210 Authors

8 Hocking, Graeme Charles
7 Forbes, Lawrence K.
7 Pan, Ernian
5 Kaya, C. Yalçin
5 Lucas, Stephen K.
5 Naik, Sunanda
4 Zhang, Zhiqing
3 Abd Elmaboud, Y.
3 Borwein, Jonathan Michael
3 Estrada, Ernesto
3 Hayat, Tasawar
3 Kumar, Shankey
3 Nath, Pankaj Kumar
3 Sherwood, John D.
2 Abudayah, Mohammad
2 Alomari, Omar
2 Alt, Walter
2 Bailey, David Harold
2 Chen, Lin
2 Davis, Anthony M. J.
2 Eskandari-Ghadi, Morteza
2 Ezhov, Vladimir Vladimirovich
2 Farrow, Duncan E.
2 Hasegawa, Takemitsu
2 Khan, Ilyas
2 Kisselev, A. V.
2 Lin, Chih-Ping
2 Mekheimer, Khaled Saad
2 Nguyen, Giang Thu
2 Rahimian, Mohammad
2 Ratnanather, J. Tilak
2 Sahoo, Swadesh Kumar
2 Sander, Torsten
2 Sugiura, Hiroshi
2 Zhang, Hong
2 Zhou, Jiangcun
1 Abou-Zeid, Mohamed Y.
1 Abro, Kashif Ali
1 Agarwal, Hans
1 Agarwal, Ravi P.
1 Al-Ali, Suha Ibrahim Salih
1 Al-Thukair, Fawzi A.
1 Al-Yami, Maryem
1 Alhomaidhi, Alhanouf Ali
1 Al-saedi, Ahmed Eid Salem
1 Aneja, Madhu
1 Arnold, Elizabeth A.
1 Asghar, Saleem
1 Bal, Guillaume
1 Banerjee, Rupak K.
1 Banihashemi, Nahid
1 Barles, Guy
1 Bhattacharyya, Krishnendu
1 Burachik, Regina Sandra
1 Caferra, Rocco
1 Cai, Xin
1 Cai, Yingchun
1 Casamassima, Alessia
1 Cascavilla, Alessandro
1 Ceritoglu, C.
1 Chamkha, Ali Jawad
1 Chan, Chi Kin
1 Chen, Jiangyi
1 Chen, Sue Ann
1 Chou, Tom
1 Colgan, Len
1 Cools, Ronald
1 Corona, Edmundo
1 Craster, Richard V.
1 de la Peña, José Antonio
1 Desai, S. C.
1 Devakar, M.
1 Ding, ShengHu
1 Ehrenmark, Ulf Torsten
1 Falcón Ganfornina, Raúl Manuel
1 Felgenhauer, Ursula
1 Field, Rebecca E.
1 Filar, Jerzy A.
1 Friedland, Shmuel
1 Gangadhar, Kotha
1 Gao, Cun-Fa
1 Gasimov, Rafail N.
1 Georgelin, Christine A.
1 Glymour, Clark
1 Gnedin, Sasha
1 Goldstein, Raymond E.
1 Gözükirmizi, Coşar
1 Han, Weimin
1 Hariharan, Prasanna
1 Harriss, Edmund Orme
1 Haythorpe, Michael
1 Hill, Reghan J.
1 Homeier, Herbert H. H.
1 Howlett, Phil G.
1 Husseny, Saleh Z. A.
1 Inoue, Shutaro
1 Irvine, William T. M.
1 Ismayilova, Nergiz A.
1 Itik, Mehmet
1 Jia, Leroy L.
...and 110 more Authors
all top 5

Cited in 69 Serials

7 Applied Mathematical Modelling
6 Journal of Fluid Mechanics
5 Computers and Fluids
5 Journal of Computational and Applied Mathematics
5 Physics of Fluids
5 Engineering Analysis with Boundary Elements
3 Journal of Optimization Theory and Applications
3 Linear Algebra and its Applications
3 Computational Optimization and Applications
3 The ANZIAM Journal
2 Acta Mechanica
2 Journal of Engineering Mathematics
2 Journal of Mathematical Analysis and Applications
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Mathematical Physics
2 Wave Motion
2 Applied Mathematics and Computation
2 Mathematical and Computer Modelling
2 Mathematical Problems in Engineering
2 Journal of Applied Analysis
2 Mathematics and Mechanics of Solids
2 Abstract and Applied Analysis
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Mediterranean Journal of Mathematics
2 International Journal of Applied and Computational Mathematics
1 International Journal of Modern Physics A
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Physics
1 The Mathematical Gazette
1 The Mathematical Intelligencer
1 ACM Transactions on Mathematical Software
1 Synthese
1 Theory and Decision
1 Optimal Control Applications & Methods
1 Journal of Symbolic Computation
1 Computational Mechanics
1 European Journal of Applied Mathematics
1 Annals of Operations Research
1 Journal of Global Optimization
1 Numerical Algorithms
1 Elemente der Mathematik
1 The Journal of Analysis
1 Combinatorics, Probability and Computing
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 The Electronic Journal of Combinatorics
1 Journal of Mathematical Chemistry
1 Nonlinear Analysis. Modelling and Control
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Advances in Difference Equations
1 Complex Variables and Elliptic Equations
1 Journal of Mathematics and the Arts
1 Mathematics in Computer Science
1 Chinese Journal of Physics (Taipei)
1 Journal of Control Science and Engineering
1 MathematicS In Action
1 Journal of Applied Mathematics & Informatics
1 EURO Journal on Computational Optimization
1 Problemy Analiza. Issues of Analysis
1 Journal of Complex Analysis
1 Mathematics
1 Journal of Optimization
1 Open Mathematics
1 Korean Journal of Mathematics
all top 5

Cited in 39 Fields

42 Fluid mechanics (76-XX)
22 Mechanics of deformable solids (74-XX)
19 Numerical analysis (65-XX)
15 Combinatorics (05-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
9 Functions of a complex variable (30-XX)
7 Special functions (33-XX)
7 Operations research, mathematical programming (90-XX)
7 Biology and other natural sciences (92-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Geophysics (86-XX)
5 Operator theory (47-XX)
4 Partial differential equations (35-XX)
4 Integral transforms, operational calculus (44-XX)
3 Number theory (11-XX)
3 Ordinary differential equations (34-XX)
3 Computer science (68-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Approximations and expansions (41-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Systems theory; control (93-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year