Edit Profile (opens in new tab) Crank, John Compute Distance To: Compute Author ID: crank.john Published as: Crank, J.; Crank, John External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 25 Publications since 1947, including 6 Books Biographic References: 1 Publication Co-Authors: 8 Co-Authors with 12 Joint Publications 51 Co-Co-Authors all top 5 Co-Authors 13 single-authored 2 Bell, Graham E. 2 Furzeland, R. M. 2 Gupta, Radhey S. 2 Nicolson, Phyllis 1 Crowley, A. B. 1 Godson, S. M. 1 Ozis, Turgut 1 Parker, I. B. all top 5 Serials 5 Journal of the Institute of Mathematics and its Applications 3 The Philosophical Magazine, VII. Series 1 International Journal of Heat and Mass Transfer 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 The Computer Journal. Section A / Section B 1 International Journal for Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 Proceedings of the Cambridge Philosophical Society all top 5 Fields 16 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 1,261 times in 1,184 Documents Cited by ▼ Year ▼ Free and moving boundary problems. Zbl 0547.35001Crank, John 399 1984 The mathematics of diffusion. Zbl 0071.41401Crank, J. 355 1956 A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Zbl 0029.05901Crank, J.; Nicolson, P. 222 1947 The mathematics of diffusion. 2nd ed. Zbl 0427.35035Crank, J. 55 1979 Free and moving boundary problems. Zbl 0629.35001Crank, John 47 1987 A moving boundary problem arising from the diffusion of oxygen in absorbing tissue. Zbl 0247.65064Crank, John; Gupta, Radhey S. 47 1972 Two methods for the numerical solution of moving-boundary problems in diffusion and heat flow. Zbl 0077.32604Crank, J. 38 1957 A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054Crank, J.; Nicolson, P. 33 1996 A method for solving moving boundary problems in heat flow using cubic splines or polynomials. Zbl 0299.65049Crank, John; Gupta, R. S. 16 1972 The treatment of boundary singularities in axially symmetric problems containing discs. Zbl 0367.65050Crank, J.; Furzeland, R. M. 14 1977 Mathematical models in heat flow and diffusion. Zbl 0212.18102Crank, J. 13 1970 Numerical solution of a free boundary problem by interchanging dependent and independent variables. Zbl 0456.76074Crank, J.; Ozis, T. 5 1980 How to deal with moving boundaries in thermal problems. Zbl 0453.65068Crank, John 4 1981 Diffusion in composite materials. Zbl 0319.65068Crank, John 2 1974 The numerical solution of elliptic and parabolic partial differential equations with boundary singularities. Zbl 0373.65050Crank, J.; Furzeland, R. M. 2 1978 On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions. Zbl 0446.65055Crank, J.; Crowley, A. B. 2 1979 A method of treating boundary singularities in time-dependent problems. Zbl 0277.65058Bell, G. E.; Crank, J. 2 1973 The differential analyser. Zbl 0031.03505Crank, J. 2 1947 Persistent discretization errors in partial differential equations of parabolic type. Zbl 0135.38104Parker, I. B.; Crank, J. 2 1964 A simple finite-difference modification for improving accuracy near a corner in heat flow problems. Zbl 0347.65040Bell, Graham E.; Crank, John 1 1976 A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054Crank, J.; Nicolson, P. 33 1996 Free and moving boundary problems. Zbl 0629.35001Crank, John 47 1987 Free and moving boundary problems. Zbl 0547.35001Crank, John 399 1984 How to deal with moving boundaries in thermal problems. Zbl 0453.65068Crank, John 4 1981 Numerical solution of a free boundary problem by interchanging dependent and independent variables. Zbl 0456.76074Crank, J.; Ozis, T. 5 1980 The mathematics of diffusion. 2nd ed. Zbl 0427.35035Crank, J. 55 1979 On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions. Zbl 0446.65055Crank, J.; Crowley, A. B. 2 1979 The numerical solution of elliptic and parabolic partial differential equations with boundary singularities. Zbl 0373.65050Crank, J.; Furzeland, R. M. 2 1978 The treatment of boundary singularities in axially symmetric problems containing discs. Zbl 0367.65050Crank, J.; Furzeland, R. M. 14 1977 A simple finite-difference modification for improving accuracy near a corner in heat flow problems. Zbl 0347.65040Bell, Graham E.; Crank, John 1 1976 Diffusion in composite materials. Zbl 0319.65068Crank, John 2 1974 A method of treating boundary singularities in time-dependent problems. Zbl 0277.65058Bell, G. E.; Crank, J. 2 1973 A moving boundary problem arising from the diffusion of oxygen in absorbing tissue. Zbl 0247.65064Crank, John; Gupta, Radhey S. 47 1972 A method for solving moving boundary problems in heat flow using cubic splines or polynomials. Zbl 0299.65049Crank, John; Gupta, R. S. 16 1972 Mathematical models in heat flow and diffusion. Zbl 0212.18102Crank, J. 13 1970 Persistent discretization errors in partial differential equations of parabolic type. Zbl 0135.38104Parker, I. B.; Crank, J. 2 1964 Two methods for the numerical solution of moving-boundary problems in diffusion and heat flow. Zbl 0077.32604Crank, J. 38 1957 The mathematics of diffusion. Zbl 0071.41401Crank, J. 355 1956 A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Zbl 0029.05901Crank, J.; Nicolson, P. 222 1947 The differential analyser. Zbl 0031.03505Crank, J. 2 1947 all cited Publications top 5 cited Publications all top 5 Cited by 1,935 Authors 44 Noor, Muhammad Aslam 26 Tarzia, Domingo Alberto 16 Jódar Sanchez, Lucas Antonio 11 Simpson, Matthew J. 10 Briozzo, Adriana C. 10 Company, Rafael 9 Gupta, Radhey S. 9 Voller, Vaughan R. 8 Huang, Nan-Jing 8 Sophocleous, Christodoulos 7 Atangana, Abdon 7 Ceretani, Andrea N. 7 Dehghan Takht Fooladi, Mehdi 7 Lin, Zhigui 7 Noor, Khalida Inayat 7 Vermolen, Fred J. 7 Wang, Mingxin 6 Egorova, Vera N. 6 Natale, María Fernanda 6 Petrovskii, Sergei V. 6 Tamma, Kumar K. 6 Vuik, Cornelis 5 Ahmed, Said Gamil Ahmed Sayed 5 Chang, Shih-Sen 5 Grebenkov, Denis S. 5 Jiang, Bin 5 McCue, Scott William 5 Momoniat, Ebrahim 5 Rai, Kabindra Nath 5 Rogers, Colin 5 Vynnycky, Michael 4 Al-Zanaidi, Mansour A. 4 Asaithambi, N. S. 4 Bollati, Julieta 4 Bruch, John C. jun. 4 Chawla, Man M. 4 Defez, Emilio 4 Ferreira, José Augusto 4 Gülkaç, Vildan 4 Harley, Charis 4 Igbida, Noureddine 4 Ishige, Kazuhiro 4 Jha, Brajesh Kumar 4 Jiang, Xiaoyun 4 King, John Robert 4 Kumar, Dhirendra 4 Kutluay, Selcuk 4 Mickens, Ronald Elbert 4 Qu, Changzheng 4 Salva, Natalia Nieves 4 Sengupta, Tapan Kumar 4 Simon, Laurent S. R. 4 Soler, Vicente 4 Sun, Pengtao 4 Wong, Patricia J. Y. 4 Zhao, Jingfu 4 Zohdi, Tarek I. 3 Akram, Ghazala 3 Azhdari, Ebrahim 3 Băleanu, Dumitru I. 3 Barry, Steven Ian 3 Bergamaschi, Luca 3 Biros, George 3 Boglaev, Igor P. 3 Carr, Elliot Joseph 3 De Lillo, Silvana 3 Delzanno, Gian Luca 3 Doungmo Goufo, Emile Franc 3 Du, Yihong 3 El-Hachem, Maud 3 Emami, Aram 3 Escher, Joachim 3 Feng, Xinlong 3 Fila, Marek 3 Gałkowski, Krzysztof 3 Gambolati, Giuseppe 3 Harris, Paul J. 3 Hill, James Murray 3 Holderied, Florian 3 Huang, Pengzhan 3 Hughes, Thomas J. R. 3 Jia, Huabing 3 Kacimov, Anvar R. 3 Kaminski Lenzi, Ervin 3 Kawakami, Tatsuki 3 Kazmi, Kaleem Raza 3 Khalifa, Ahmed Kamel 3 Kharab, Abdelwahab 3 Landman, Kerry A. 3 Li, Xicheng 3 Liu, Fawang 3 Machado, José António Tenreiro 3 Martin, Robert H. jun. 3 Masuri, Siti Ujila 3 Mitchell, Sarah L. 3 Parlange, Jean-Yves 3 Pini, Giorgio 3 Piqueras, Miguel A. 3 Płociniczak, Łukasz 3 Possanner, Stefan ...and 1,835 more Authors all top 5 Cited in 235 Serials 75 Journal of Computational Physics 66 Applied Mathematics and Computation 57 Journal of Computational and Applied Mathematics 53 Applied Mathematical Modelling 47 Computer Methods in Applied Mechanics and Engineering 43 Computers & Mathematics with Applications 36 Journal of Mathematical Analysis and Applications 27 Mathematical and Computer Modelling 23 Bulletin of Mathematical Biology 22 Mathematical Biosciences 22 Mathematics and Computers in Simulation 21 International Journal of Heat and Mass Transfer 18 International Journal of Engineering Science 18 Journal of Theoretical Biology 17 Computers and Fluids 17 Physica A 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Applied Mathematics Letters 13 Acta Mechanica 13 Journal of Engineering Mathematics 12 Journal of Fluid Mechanics 12 Applied Numerical Mathematics 12 Engineering Analysis with Boundary Elements 11 Numerical Methods for Partial Differential Equations 11 Computational and Applied Mathematics 10 Journal of Optimization Theory and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Abstract and Applied Analysis 10 Nonlinear Analysis. Real World Applications 8 Journal of Mathematical Biology 8 Chaos, Solitons and Fractals 8 Journal of Differential Equations 8 Acta Applicandae Mathematicae 7 Journal of the Mechanics and Physics of Solids 7 International Journal for Numerical Methods in Engineering 7 Physica D 7 International Journal of Computer Mathematics 7 Fractional Calculus & Applied Analysis 7 Computational Geosciences 6 Applicable Analysis 6 Physics Letters. A 6 Communications in Numerical Methods in Engineering 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Journal of Mathematical Chemistry 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of the Franklin Institute 5 Journal of Statistical Physics 5 Physics of Fluids 5 Fuzzy Sets and Systems 5 Computational Mechanics 5 Journal of Scientific Computing 5 European Journal of Applied Mathematics 5 Advances in Computational Mathematics 5 International Journal of Applied and Computational Mathematics 4 Computer Physics Communications 4 Meccanica 4 Numerische Mathematik 4 Applied Mathematics and Mechanics. (English Edition) 4 Applications of Mathematics 4 Numerical Algorithms 4 Chaos 4 European Journal of Mechanics. A. Solids 4 Journal of Statistical Mechanics: Theory and Experiment 4 Boundary Value Problems 4 Acta Mechanica Sinica 4 Mathematical Modelling of Natural Phenomena 3 International Journal for Numerical and Analytical Methods in Geomechanics 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 BIT 3 Optimization 3 Multidimensional Systems and Signal Processing 3 Journal of Dynamics and Differential Equations 3 Filomat 3 Nonlinear Dynamics 3 The ANZIAM Journal 3 Discrete and Continuous Dynamical Systems. Series B 3 The Bulletin of Mathematical Biophysics 3 International Journal of Biomathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archive for Rational Mechanics and Analysis 2 International Journal of Systems Science 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Computing 2 International Journal of Mathematics and Mathematical Sciences 2 Mechanics Research Communications 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Theoretical Population Biology 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Probability Theory and Related Fields 2 Stochastic Hydrology and Hydraulics 2 Japan Journal of Industrial and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) ...and 135 more Serials all top 5 Cited in 45 Fields 533 Partial differential equations (35-XX) 451 Numerical analysis (65-XX) 293 Fluid mechanics (76-XX) 251 Classical thermodynamics, heat transfer (80-XX) 186 Biology and other natural sciences (92-XX) 121 Mechanics of deformable solids (74-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 56 Statistical mechanics, structure of matter (82-XX) 47 Probability theory and stochastic processes (60-XX) 42 Ordinary differential equations (34-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Operator theory (47-XX) 27 Geophysics (86-XX) 27 Operations research, mathematical programming (90-XX) 20 Real functions (26-XX) 19 Optics, electromagnetic theory (78-XX) 19 Systems theory; control (93-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Integral equations (45-XX) 14 Special functions (33-XX) 14 Computer science (68-XX) 11 Quantum theory (81-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Statistics (62-XX) 8 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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