Edit Profile (opens in new tab) Lucas, Stephen K. Co-Author Distance Author ID: lucas.stephen-k Published as: Lucas, S. K.; Lucas, Stephen K.; Lucas, Stephen; Lucas, Stephen K; Lucas, S. more...less Documents Indexed: 32 Publications since 1991 Co-Authors: 39 Co-Authors with 24 Joint Publications 803 Co-Co-Authors all top 5 Co-Authors 7 single-authored 5 Taalman, Laura 4 Stone, Howard Alvin 3 Arnold, Elizabeth A. 3 Filar, Jerzy A. 3 Kucera, Adam 2 Ezhov, Vladimir Vladimirovich 2 Field, Rebecca E. 2 Howlett, Phil G. 1 Agrawal, Manju Rani 1 Blake, John Robert 1 Carothers, David C. 1 Davis, Anthony M. J. 1 Féron, Olivier 1 Gallez, B. 1 Gupta, Anju Rani 1 Haynes, Peter D. 1 John, Maria 1 Kaya, C. Yalçin 1 Lorch, John D. 1 Masereel, B. 1 Mason, Andrew J. 1 Mazumdar, Jagannath 1 Mernone, A. V. 1 Michiels, Cindy 1 Naik, Swatee 1 Nelson, James L. 1 Panton, David M. 1 Parker, G. Edgar 1 Ponnusamy, Saminathan 1 Ratnanather, J. Tilak 1 Rosenhouse, Jason 1 Rudmin, Joseph D. 1 Sander, Evelyn 1 Schepler, Andrew 1 Simakov, Sergey T. 1 Sipcic, R. 1 Sochacki, James S. 1 Thelwell, Roger J. 1 Thredgold, J. M. 1 Tongen, Anthony 1 Vander Borght, T. 1 Warne, Paul G. 1 Zhang, Sirong 1 Zograf, Peter all top 5 Serials 5 The Australian Mathematical Society Gazette 3 Journal of Computational and Applied Mathematics 3 The ANZIAM Journal 2 Mathematical and Computer Modelling 2 Physics of Fluids 1 American Mathematical Monthly 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 ACM Transactions on Mathematical Software 1 Optimal Control Applications & Methods 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 Notices of the American Mathematical Society 1 Taiwanese Journal of Mathematics 1 Journal of Mathematics and the Arts 1 Computational & Mathematical Methods in Medicine 1 The College Mathematics Journal all top 5 Fields 10 Numerical analysis (65-XX) 6 Combinatorics (05-XX) 6 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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