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Crank, John

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Author ID: crank.john Recent zbMATH articles by "Crank, John"
Published as: Crank, J.; Crank, John
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 25 Publications since 1947, including 6 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 1,128 times in 1,055 Documents Cited by Year
Free and moving boundary problems. Zbl 0547.35001
Crank, John
368
1984
The mathematics of diffusion. Zbl 0071.41401
Crank, J.
320
1956
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Zbl 0029.05901
Crank, J.; Nicolson, P.
192
1947
A moving boundary problem arising from the diffusion of oxygen in absorbing tissue. Zbl 0247.65064
Crank, John; Gupta, Radhey S.
46
1972
The mathematics of diffusion. 2nd ed. Zbl 0427.35035
Crank, J.
38
1979
Two methods for the numerical solution of moving-boundary problems in diffusion and heat flow. Zbl 0077.32604
Crank, J.
38
1957
Free and moving boundary problems. Zbl 0629.35001
Crank, John
37
1987
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054
Crank, J.; Nicolson, P.
26
1996
A method for solving moving boundary problems in heat flow using cubic splines or polynomials. Zbl 0299.65049
Crank, John; Gupta, R. S.
16
1972
The treatment of boundary singularities in axially symmetric problems containing discs. Zbl 0367.65050
Crank, J.; Furzeland, R. M.
13
1977
Mathematical models in heat flow and diffusion. Zbl 0212.18102
Crank, J.
13
1970
Numerical solution of a free boundary problem by interchanging dependent and independent variables. Zbl 0456.76074
Crank, J.; Ozis, T.
5
1980
How to deal with moving boundaries in thermal problems. Zbl 0453.65068
Crank, John
4
1981
On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions. Zbl 0446.65055
Crank, J.; Crowley, A. B.
2
1979
A method of treating boundary singularities in time-dependent problems. Zbl 0277.65058
Bell, G. E.; Crank, J.
2
1973
Diffusion in composite materials. Zbl 0319.65068
Crank, John
2
1974
The differential analyser. Zbl 0031.03505
Crank, J.
2
1947
Persistent discretization errors in partial differential equations of parabolic type. Zbl 0135.38104
Parker, I. B.; Crank, J.
2
1964
A simple finite-difference modification for improving accuracy near a corner in heat flow problems. Zbl 0347.65040
Bell, Graham E.; Crank, John
1
1976
The numerical solution of elliptic and parabolic partial differential equations with boundary singularities. Zbl 0373.65050
Crank, J.; Furzeland, R. M.
1
1978
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint). Zbl 0866.65054
Crank, J.; Nicolson, P.
26
1996
Free and moving boundary problems. Zbl 0629.35001
Crank, John
37
1987
Free and moving boundary problems. Zbl 0547.35001
Crank, John
368
1984
How to deal with moving boundaries in thermal problems. Zbl 0453.65068
Crank, John
4
1981
Numerical solution of a free boundary problem by interchanging dependent and independent variables. Zbl 0456.76074
Crank, J.; Ozis, T.
5
1980
The mathematics of diffusion. 2nd ed. Zbl 0427.35035
Crank, J.
38
1979
On an implicit scheme for the isotherm migration method along orthogonal flow lines in two dimensions. Zbl 0446.65055
Crank, J.; Crowley, A. B.
2
1979
The numerical solution of elliptic and parabolic partial differential equations with boundary singularities. Zbl 0373.65050
Crank, J.; Furzeland, R. M.
1
1978
The treatment of boundary singularities in axially symmetric problems containing discs. Zbl 0367.65050
Crank, J.; Furzeland, R. M.
13
1977
A simple finite-difference modification for improving accuracy near a corner in heat flow problems. Zbl 0347.65040
Bell, Graham E.; Crank, John
1
1976
Diffusion in composite materials. Zbl 0319.65068
Crank, John
2
1974
A method of treating boundary singularities in time-dependent problems. Zbl 0277.65058
Bell, G. E.; Crank, J.
2
1973
A moving boundary problem arising from the diffusion of oxygen in absorbing tissue. Zbl 0247.65064
Crank, John; Gupta, Radhey S.
46
1972
A method for solving moving boundary problems in heat flow using cubic splines or polynomials. Zbl 0299.65049
Crank, John; Gupta, R. S.
16
1972
Mathematical models in heat flow and diffusion. Zbl 0212.18102
Crank, J.
13
1970
Persistent discretization errors in partial differential equations of parabolic type. Zbl 0135.38104
Parker, I. B.; Crank, J.
2
1964
Two methods for the numerical solution of moving-boundary problems in diffusion and heat flow. Zbl 0077.32604
Crank, J.
38
1957
The mathematics of diffusion. Zbl 0071.41401
Crank, J.
320
1956
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Zbl 0029.05901
Crank, J.; Nicolson, P.
192
1947
The differential analyser. Zbl 0031.03505
Crank, J.
2
1947
all top 5

Cited by 1,663 Authors

44 Noor, Muhammad Aslam
25 Tarzia, Domingo Alberto
15 Jódar Sanchez, Lucas Antonio
10 Briozzo, Adriana C.
9 Company, Rafael
9 Gupta, Radhey S.
9 Voller, Vaughan R.
8 Huang, Nan-Jing
8 Simpson, Matthew J.
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 Petrovskii, Sergei V.
6 Tamma, Kumar K.
6 Vuik, Cornelis
5 Ahmed, Said Gamil
5 Chang, Shih-Sen
5 Jiang, Bin
5 Momoniat, Ebrahim
5 Natale, María Fernanda
5 Rogers, Colin
4 Al-Zanaidi, Mansour A.
4 Asaithambi, N. S.
4 Bruch, John C. jun.
4 Chawla, Man M.
4 Ferreira, José Augusto
4 Gülkaç, Vildan
4 Harley, Charis
4 Igbida, Noureddine
4 Ishige, Kazuhiro
4 Jiang, Xiaoyun
4 King, John Robert
4 Kumar, Dhirendra
4 Kutluay, Selcuk
4 McCue, Scott William
4 Mickens, Ronald Elbert
4 Qu, Changzheng
4 Salva, Natalia Nieves
4 Sengupta, Tapan K.
4 Sun, Pengtao
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 Bollati, Julieta
3 De Lillo, Silvana
3 Defez, Emilio
3 Delzanno, Gian Luca
3 Doungmo Goufo, Emile Franc
3 Emami, Aram
3 Escher, Joachim
3 Feng, Xinlong
3 Fila, Marek
3 Gambolati, Giuseppe
3 Grebenkov, Denis S.
3 Hill, James Murray
3 Huang, Pengzhan
3 Hughes, Thomas J. R.
3 Jha, Brajesh Kumar
3 Jia, Huabing
3 Kawakami, Tatsuki
3 Kazmi, Kaleem Raza
3 Khalifa, Ahmed Kamel
3 Kharab, Abdelwahab
3 Landman, Kerry A.
3 Li, Xicheng
3 Mackenzie, John A.
3 Martin, Robert H. jun.
3 Masuri, Siti Ujila
3 Parlange, Jean-Yves
3 Pini, Giorgio
3 Piqueras, Miguel A.
3 Povstenko, Yuriy Z.
3 Rai, Kabindra Nath
3 Roscani, Sabrina D.
3 Rose, Milton E.
3 Siddiqi, Shahid Saeed
3 Soler, Vicente
3 Tao, L. N.
3 Zadeh, Kouroush Sadegh
3 Zhao, Jingfu
3 Zhou, Peng
3 Zhou, Xiangmin
3 Zhou, Yang
2 Ahmed, Driss Aiat Hadj
2 Akkas, Nuri
2 Al-Said, Eisa A.
2 Alkahtani, Badr Saad T.
2 Andreu, Fuensanta
2 Banik, N. C.
...and 1,563 more Authors
all top 5

Cited in 216 Serials

69 Journal of Computational Physics
63 Applied Mathematics and Computation
54 Journal of Computational and Applied Mathematics
45 Applied Mathematical Modelling
44 Computer Methods in Applied Mechanics and Engineering
42 Computers & Mathematics with Applications
36 Journal of Mathematical Analysis and Applications
27 Mathematical and Computer Modelling
22 Bulletin of Mathematical Biology
21 International Journal of Heat and Mass Transfer
21 Mathematical Biosciences
19 Mathematics and Computers in Simulation
18 Journal of Theoretical Biology
17 International Journal of Engineering Science
15 Computers and Fluids
14 Applied Mathematics Letters
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Applied Numerical Mathematics
11 Numerical Methods for Partial Differential Equations
10 Journal of Engineering Mathematics
10 Journal of Optimization Theory and Applications
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Engineering Analysis with Boundary Elements
10 Abstract and Applied Analysis
9 Acta Mechanica
9 Nonlinear Analysis. Real World Applications
8 Journal of Differential Equations
8 Acta Applicandae Mathematicae
7 Journal of Fluid Mechanics
7 Journal of Mathematical Biology
7 Journal of the Mechanics and Physics of Solids
7 International Journal for Numerical Methods in Engineering
7 Computational and Applied Mathematics
7 Fractional Calculus & Applied Analysis
6 Physica A
6 Physics Letters. A
6 International Journal of Computer Mathematics
6 Communications in Numerical Methods in Engineering
6 International Journal of Numerical Methods for Heat & Fluid Flow
6 Mathematical Problems in Engineering
6 Computational Geosciences
6 Nonlinear Analysis. Theory, Methods & Applications
5 Applicable Analysis
5 Journal of the Franklin Institute
5 Journal of Statistical Physics
5 Physics of Fluids
5 Chaos, Solitons and Fractals
5 Fuzzy Sets and Systems
5 Physica D
5 Computational Mechanics
5 Advances in Computational Mathematics
5 Journal of Mathematical Chemistry
5 Communications in Nonlinear Science and Numerical Simulation
4 Computer Physics Communications
4 Meccanica
4 Numerische Mathematik
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal of Scientific Computing
4 European Journal of Applied Mathematics
4 Applications of Mathematics
4 Chaos
4 European Journal of Mechanics. A. Solids
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 Numerical Algorithms
3 Journal of Dynamics and Differential Equations
3 Nonlinear Dynamics
3 Discrete and Continuous Dynamical Systems. Series B
3 The Bulletin of Mathematical Biophysics
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 Multidimensional Systems and Signal Processing
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Scientific Computing
2 Applied Mathematics. Series B (English Edition)
2 Physics of Fluids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Differential Equations
2 Journal of Evolution Equations
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics and Computing
2 Advances in Difference Equations
2 Journal of Statistical Mechanics: Theory and Experiment
...and 116 more Serials
all top 5

Cited in 43 Fields

481 Partial differential equations (35-XX)
404 Numerical analysis (65-XX)
257 Fluid mechanics (76-XX)
231 Classical thermodynamics, heat transfer (80-XX)
164 Biology and other natural sciences (92-XX)
100 Mechanics of deformable solids (74-XX)
71 Calculus of variations and optimal control; optimization (49-XX)
42 Probability theory and stochastic processes (60-XX)
39 Ordinary differential equations (34-XX)
39 Statistical mechanics, structure of matter (82-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Geophysics (86-XX)
26 Operations research, mathematical programming (90-XX)
25 Operator theory (47-XX)
20 Real functions (26-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Integral equations (45-XX)
15 Systems theory; control (93-XX)
14 Computer science (68-XX)
14 Optics, electromagnetic theory (78-XX)
12 Special functions (33-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Quantum theory (81-XX)
7 Approximations and expansions (41-XX)
7 Statistics (62-XX)
6 Mechanics of particles and systems (70-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Integral transforms, operational calculus (44-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Functional analysis (46-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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