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Author ID: arthurs.a-m Recent zbMATH articles by "Arthurs, A. M."
Published as: Arthurs, A. M.

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 287 times in 215 Documents Cited by Year
Complementary variational principles. Zbl 0202.38404
Arthurs, A. M.
58
1970
Complementary variational principles. 2nd ed. Zbl 0437.35001
Arthurs, A. M.
32
1980
Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics. Zbl 0554.92005
Anderson, N.; Arthurs, A. M.
25
1985
Complementary variational principles for diffusion problems with Michaelis-Menten kinetics. Zbl 0423.92040
Anderson, N.; Arthurs, A. M.
19
1980
Dual extremum principles and error bounds for a class of boundary value problems. Zbl 0251.35049
Arthurs, A. M.
18
1973
The theory of scattering by a rigid rotator. Zbl 0091.22001
Arthurs, A. M.; Dalgarno, A.
13
1960
On the inverse problem of calculus of variations for fourth-order equations. Zbl 1200.35054
Nucci, M. C.; Arthurs, A. M.
12
2010
Complementary extremum principles for a nonlinear model of heat conduction in the human head. Zbl 0453.92005
Anderson, N.; Arthurs, A. M.
10
1981
On Hammersley’s minimum problem for a rolling sphere. Zbl 0608.49013
Arthurs, A. M.; Walsh, G. R.
6
1986
Functional integration and its applications. Proceedings of the international conference held at Cumberland Lodge, Windsor Great Park, London, in April 1974. Zbl 0306.00005
5
1975
Extremum principles for a class of boundary-value problems. Zbl 0174.41304
Arthurs, A. M.
5
1969
Pairs of complementary variational principles. Zbl 0189.11103
Anderson, N.; Arthurs, A. M.; Robinson, P. D.
5
1969
Variational solutions of the Thomas-Fermi equation. Zbl 0462.49042
Anderson, N.; Arthurs, A. M.
4
1981
Pointwise bounds for the solution of a nonlinear problem in cell membrane theory. Zbl 0512.92002
Arthurs, A. M.; Arthurs, W. M.
4
1983
A class of second-order nonlinear difference equations. I: Extremum principles and approximation of solutions. Zbl 0579.39001
Anderson, N.; Arthurs, A. M.
4
1985
Complementary variational principles for a generalized diffusion equation. Zbl 0161.46202
Arthurs, A. M.; Robinson, P. D.
4
1968
A note on Komkov’s class of boundary value problems and associated variational principles. Zbl 0183.39301
Arthurs, A. M.
4
1971
Dual extremum principles for a nonlinear diffusion problem. Zbl 0362.65071
Anderson, N.; Arthurs, A. M.
3
1977
Bounds for the solution of the Poisson-Boltzmann equation about a cylindrical particle. Zbl 0568.35015
Anderson, N.; Arthurs, A. M.
3
1984
Variational principles for a class of boundary value problems. Zbl 0306.49030
Arthurs, A. M.
3
1975
Error bound for a class of non-linear problems in diffusion and reaction. Zbl 0278.65092
Arthurs, A. M.
3
1974
Complementary variational principles for linear equations. Zbl 0299.49020
Arthurs, A. M.
3
1975
Some variational principles for integral equations. Zbl 0165.45803
Robinson, P. D.; Arthurs, A. M.
3
1968
Path integrals in polar coordinates. Zbl 0181.38601
Arthurs, A. M.
3
1969
Complementary variational principles for \(\nabla^ 2\varphi = f(\varphi)\) with applications to the Thomas-Fermi and Liouville equations. Zbl 0167.11401
Arthurs, A. M.; Robinson, P. D.
3
1969
Pointwise bounds for the solution of a nonlinear problem in heat conduction. Zbl 0516.34020
Anderson, N.; Arthurs, A. M.
2
1982
On the solution of a nonlinear problem in cell membrane theory. Zbl 0813.92009
Arthurs, A. M.; Clegg, J.
2
1994
Dual extremum principles for heat-transfer problems with variable thermal properties. Zbl 0377.49029
Anderson, N.; Arthurs, A. M.
2
1977
Complementary variational principles for a class of nonlinear boundary value problems. Zbl 0401.49014
Anderson, N.; Arthurs, A. M.
2
1979
Complementary variational principles for the steady-state finite cable model of nerve membranes. Zbl 0398.92017
Anderson, N.; Arthurs, A. M.
2
1978
Error bounds and variational methods for non-linear differential and integral equations. Zbl 0219.65096
Arthurs, A. M.; Coles, C. W.
2
1971
Canonical approach to biharmonic variational problems. Zbl 0208.13902
Arthurs, A. M.
2
1970
On the solution of a boundary value problem for the nonlinear Föppl- Hencky equation. Zbl 0822.34027
Arthurs, A. M.; Clegg, J.
2
1994
On the solution of the Liouville equation over a rectangle. Zbl 0855.35041
Arthurs, A. M.; Clegg, J.; Nagar, A. K.
2
1996
Variational solution of a nonlinear boundary value problem in the theory of power law fluids. Zbl 0468.76007
Anderson, N.; Arthurs, A. M.
1
1981
Geometrical formulation of Hamiltonian boundary value problems. Zbl 0358.35069
Arthurs, A. M.
1
1977
Variational formulation of Hamiltonian boundary value problems. Zbl 0365.35018
Arthurs, A. M.
1
1977
On variational principles and the hypercircle for boundary value problems. Zbl 0387.49029
Arthurs, A. M.
1
1977
A class of second-order nonlinear difference equations. II: Comparison results and approximation of solutions. Zbl 0579.39002
Anderson, N.; Arthurs, A. M.
1
1985
Upper and lower bounds for the problem of a membrane with elastic support. Zbl 0327.73061
Arthurs, A. M.; Duggan, R. C.
1
1976
On variational principles for linear initial value problems. Zbl 0329.49018
Arthurs, A. M.; Jones, M. E.
1
1976
Dual bivariational principles for linear problems. Zbl 0377.49032
Arthurs, A. M.
1
1978
The method of the hypercircle for a class of nonlinear equations. Zbl 0402.35026
Arthurs, A. M.; Hart, V. G.
1
1979
Variational principles for complex equations. Zbl 0342.49012
Anderson, N.; Arthurs, A. M.
1
1976
Extremum principle for a nonlinear problem in magneto-elasticity. Zbl 0254.73078
Anderson, N.; Arthurs, A. M.; Hall, R. R.
1
1972
Upper and lower variational bounds for the friction factor Reynolds number product in laminar flow of a viscous fluid. Zbl 0282.76032
Anderson, N.; Arthurs, A. M.
1
1974
Complementary variational principles for \(\varphi^{i v} = f(\varphi)\). Zbl 0233.34029
Anderson, N.; Arthurs, A. M.
1
1970
Complementary variational principles for a class of biharmonic problems. Zbl 0277.35053
Arthurs, A. M.; Reeves, R. I.
1
1974
Complementary variational principles for a class of diffusion-kinetics boundary value problems. Zbl 0299.76040
Anderson, N.; Arthurs, A. M.
1
1975
A note on operator calculus in quantum mechanics. Zbl 0145.46604
Arthurs, A. M.
1
1966
Variational solutions of nonlinear Poisson-Boltzmann boundary-value problems. Zbl 0169.58001
Anderson, N.; Arthurs, A. M.
1
1968
On the inverse problem of calculus of variations for fourth-order equations. Zbl 1200.35054
Nucci, M. C.; Arthurs, A. M.
12
2010
On the solution of the Liouville equation over a rectangle. Zbl 0855.35041
Arthurs, A. M.; Clegg, J.; Nagar, A. K.
2
1996
On the solution of a nonlinear problem in cell membrane theory. Zbl 0813.92009
Arthurs, A. M.; Clegg, J.
2
1994
On the solution of a boundary value problem for the nonlinear Föppl- Hencky equation. Zbl 0822.34027
Arthurs, A. M.; Clegg, J.
2
1994
On Hammersley’s minimum problem for a rolling sphere. Zbl 0608.49013
Arthurs, A. M.; Walsh, G. R.
6
1986
Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics. Zbl 0554.92005
Anderson, N.; Arthurs, A. M.
25
1985
A class of second-order nonlinear difference equations. I: Extremum principles and approximation of solutions. Zbl 0579.39001
Anderson, N.; Arthurs, A. M.
4
1985
A class of second-order nonlinear difference equations. II: Comparison results and approximation of solutions. Zbl 0579.39002
Anderson, N.; Arthurs, A. M.
1
1985
Bounds for the solution of the Poisson-Boltzmann equation about a cylindrical particle. Zbl 0568.35015
Anderson, N.; Arthurs, A. M.
3
1984
Pointwise bounds for the solution of a nonlinear problem in cell membrane theory. Zbl 0512.92002
Arthurs, A. M.; Arthurs, W. M.
4
1983
Pointwise bounds for the solution of a nonlinear problem in heat conduction. Zbl 0516.34020
Anderson, N.; Arthurs, A. M.
2
1982
Complementary extremum principles for a nonlinear model of heat conduction in the human head. Zbl 0453.92005
Anderson, N.; Arthurs, A. M.
10
1981
Variational solutions of the Thomas-Fermi equation. Zbl 0462.49042
Anderson, N.; Arthurs, A. M.
4
1981
Variational solution of a nonlinear boundary value problem in the theory of power law fluids. Zbl 0468.76007
Anderson, N.; Arthurs, A. M.
1
1981
Complementary variational principles. 2nd ed. Zbl 0437.35001
Arthurs, A. M.
32
1980
Complementary variational principles for diffusion problems with Michaelis-Menten kinetics. Zbl 0423.92040
Anderson, N.; Arthurs, A. M.
19
1980
Complementary variational principles for a class of nonlinear boundary value problems. Zbl 0401.49014
Anderson, N.; Arthurs, A. M.
2
1979
The method of the hypercircle for a class of nonlinear equations. Zbl 0402.35026
Arthurs, A. M.; Hart, V. G.
1
1979
Complementary variational principles for the steady-state finite cable model of nerve membranes. Zbl 0398.92017
Anderson, N.; Arthurs, A. M.
2
1978
Dual bivariational principles for linear problems. Zbl 0377.49032
Arthurs, A. M.
1
1978
Dual extremum principles for a nonlinear diffusion problem. Zbl 0362.65071
Anderson, N.; Arthurs, A. M.
3
1977
Dual extremum principles for heat-transfer problems with variable thermal properties. Zbl 0377.49029
Anderson, N.; Arthurs, A. M.
2
1977
Geometrical formulation of Hamiltonian boundary value problems. Zbl 0358.35069
Arthurs, A. M.
1
1977
Variational formulation of Hamiltonian boundary value problems. Zbl 0365.35018
Arthurs, A. M.
1
1977
On variational principles and the hypercircle for boundary value problems. Zbl 0387.49029
Arthurs, A. M.
1
1977
Upper and lower bounds for the problem of a membrane with elastic support. Zbl 0327.73061
Arthurs, A. M.; Duggan, R. C.
1
1976
On variational principles for linear initial value problems. Zbl 0329.49018
Arthurs, A. M.; Jones, M. E.
1
1976
Variational principles for complex equations. Zbl 0342.49012
Anderson, N.; Arthurs, A. M.
1
1976
Functional integration and its applications. Proceedings of the international conference held at Cumberland Lodge, Windsor Great Park, London, in April 1974. Zbl 0306.00005
5
1975
Variational principles for a class of boundary value problems. Zbl 0306.49030
Arthurs, A. M.
3
1975
Complementary variational principles for linear equations. Zbl 0299.49020
Arthurs, A. M.
3
1975
Complementary variational principles for a class of diffusion-kinetics boundary value problems. Zbl 0299.76040
Anderson, N.; Arthurs, A. M.
1
1975
Error bound for a class of non-linear problems in diffusion and reaction. Zbl 0278.65092
Arthurs, A. M.
3
1974
Upper and lower variational bounds for the friction factor Reynolds number product in laminar flow of a viscous fluid. Zbl 0282.76032
Anderson, N.; Arthurs, A. M.
1
1974
Complementary variational principles for a class of biharmonic problems. Zbl 0277.35053
Arthurs, A. M.; Reeves, R. I.
1
1974
Dual extremum principles and error bounds for a class of boundary value problems. Zbl 0251.35049
Arthurs, A. M.
18
1973
Extremum principle for a nonlinear problem in magneto-elasticity. Zbl 0254.73078
Anderson, N.; Arthurs, A. M.; Hall, R. R.
1
1972
A note on Komkov’s class of boundary value problems and associated variational principles. Zbl 0183.39301
Arthurs, A. M.
4
1971
Error bounds and variational methods for non-linear differential and integral equations. Zbl 0219.65096
Arthurs, A. M.; Coles, C. W.
2
1971
Complementary variational principles. Zbl 0202.38404
Arthurs, A. M.
58
1970
Canonical approach to biharmonic variational problems. Zbl 0208.13902
Arthurs, A. M.
2
1970
Complementary variational principles for \(\varphi^{i v} = f(\varphi)\). Zbl 0233.34029
Anderson, N.; Arthurs, A. M.
1
1970
Extremum principles for a class of boundary-value problems. Zbl 0174.41304
Arthurs, A. M.
5
1969
Pairs of complementary variational principles. Zbl 0189.11103
Anderson, N.; Arthurs, A. M.; Robinson, P. D.
5
1969
Path integrals in polar coordinates. Zbl 0181.38601
Arthurs, A. M.
3
1969
Complementary variational principles for \(\nabla^ 2\varphi = f(\varphi)\) with applications to the Thomas-Fermi and Liouville equations. Zbl 0167.11401
Arthurs, A. M.; Robinson, P. D.
3
1969
Complementary variational principles for a generalized diffusion equation. Zbl 0161.46202
Arthurs, A. M.; Robinson, P. D.
4
1968
Some variational principles for integral equations. Zbl 0165.45803
Robinson, P. D.; Arthurs, A. M.
3
1968
Variational solutions of nonlinear Poisson-Boltzmann boundary-value problems. Zbl 0169.58001
Anderson, N.; Arthurs, A. M.
1
1968
A note on operator calculus in quantum mechanics. Zbl 0145.46604
Arthurs, A. M.
1
1966
The theory of scattering by a rigid rotator. Zbl 0091.22001
Arthurs, A. M.; Dalgarno, A.
13
1960
all top 5

Cited by 239 Authors

31 Arthurs, A. M.
10 Verma, Amit Kumar
8 Atanackovic, Teodor M.
7 Đukić, Đorđe Slavka
5 Atkinson, Colin
5 Smith, Peter
4 Pandey, Rajni Kant
3 Burrows, B. L.
3 Duggan, R. C.
3 Garner, Jackie B.
3 Ghose Choudhury, Anindya
3 Guha, Partha
3 Han, Weimin
3 Hendry, J. A.
3 Hutson, Jeremy M.
3 Komkov, Vadim
3 Nucci, Maria Clara
3 Rachůnek, Lukáš
3 Rachůnková, Irena
3 Simos, Theodore E.
3 Zhang, Youwei
2 Agarwal, Ravi P.
2 Alliney, Stefano
2 Andry, Albert N. jun.
2 Appleby, Stephen A.
2 Bobisud, Larry E.
2 Bossavit, Alain
2 Casetta, Leonardo
2 Core, P. W.
2 Grossmann, Christian
2 He, Xiaoting
2 Janev, Marko B.
2 Jones, Michael E.
2 Le Sueur, C. Ruth
2 Lian, Yongsheng
2 Miyazaki, Hitoshi
2 Mooney, John W.
2 Pilipović, Stevan
2 Ravi Kanth, A. S. V.
2 Robinson, Peter D.
2 Sun, Junyi
2 Tomar, Saurabh
2 Tosaka, Nobuyoshi
2 Tsutsui, Izumi
2 Wakefield, M. A.
2 Zheng, Zhoulian
2 Zimmerman, Jason A.
2 Zorica, Dusan
1 Abolghasemi, Hossein
1 Adam, John A.
1 Akerblom, Nikolas
1 Al-Musallam, Fadhel A.
1 Al-Zanaidi, Mansour A.
1 Albeverio, Sergio A.
1 Alexander, M. H.
1 Allison, A. C.
1 Altay, Gülay
1 Archer, B.
1 Arthurs, W. M.
1 Aruna, K.
1 Asaithambi, N. S.
1 Atkinson, Kendall Eugene
1 Auchmuty, Giles
1 Aydinlik, Soner
1 Bailey, Pat
1 Barnsley, Michael Fielding
1 Barnwal, Amit K.
1 Batra, Romesh C.
1 Becker, Claas
1 Bhattacharya, Vishnu
1 Bînzar, Tudor
1 Blau, Steven K.
1 Bourne, J. P.
1 Bresquar, Anna Maria
1 Bryant, C. F.
1 Bufler, Hans
1 Caglar, Hikmet
1 Caglar, Nazan
1 Carnicer, Roberto S.
1 Cendes, Zoltan J.
1 Chan, Hardy
1 Chan, Wai-Leung
1 Chaussecourte, P.
1 Christiansen, Peter Leth
1 Cole, Richard John
1 Colmenares, Pedro J.
1 Cornelissen, Gunther
1 Cveticanin, L. J.
1 Da Silva, F. L. B.
1 Dagdigian, P. J.
1 Daly, P.
1 De Mey, Gilbert
1 De Wolf, S.
1 Debnath, Lokenath
1 Desrousseaux, B.
1 Dökmeci, M. Cengiz
1 Dreisigmeyer, David W.
1 Dryden, John R.
1 Duong Dang Do
1 El-Gamel, Mohamed
...and 139 more Authors
all top 5

Cited in 79 Serials

33 Journal of Mathematical Analysis and Applications
11 Bulletin of Mathematical Biology
8 International Journal of Engineering Science
8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
7 Acta Mechanica
7 Applied Mathematics and Computation
6 Computer Physics Communications
6 Journal of Computational Physics
6 International Journal for Numerical Methods in Engineering
5 Annals of Physics
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Applied Mathematical Modelling
3 Applicable Analysis
3 Journal of Engineering Mathematics
3 Mathematical Biosciences
3 Mathematical Methods in the Applied Sciences
3 Computing
3 Journal of Computational and Applied Mathematics
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 Journal of Mathematical Sciences (New York)
3 International Journal of Modern Physics C
3 Journal of Applied Mathematics and Computing
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computers & Mathematics with Applications
2 Wave Motion
2 Journal of Functional Analysis
2 Applied Mathematics and Mechanics. (English Edition)
2 COMPEL
2 Journal of Difference Equations and Applications
2 Journal of Mathematical Chemistry
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Biomathematics
1 Computers and Fluids
1 Ingenieur-Archiv
1 International Journal for Numerical Methods in Fluids
1 International Journal of Systems Science
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Molecular Simulation
1 Chaos, Solitons and Fractals
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Meccanica
1 Rendiconti del Seminario Matematico della Università di Padova
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Numerical Mathematics
1 Computational Mechanics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Computational Mathematics and Mathematical Physics
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Mathematical Problems in Engineering
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Physics
1 International Journal of Control, I. Series
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in Mathematical Physics
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 Lettere al Nuovo Cimento
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
1 Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year