# zbMATH — the first resource for mathematics

## Ward, A. J. B.

Compute Distance To:
 Author ID: ward.a-j-b Published as: Ward, A. J.; Ward, A. J. B.
 Documents Indexed: 65 Publications since 1932

#### Co-Authors

 60 single-authored 3 Pendry, J. B. 2 Gerrish, F.
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#### Serials

 12 International Journal of Mathematical Education in Science and Technology 10 Fundamenta Mathematicae 8 Journal of the London Mathematical Society 7 Proceedings of the London Mathematical Society. Second Series 3 The Mathematical Gazette 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Proceedings of the Cambridge Philosophical Society 2 Computer Physics Communications 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie. Classe III 1 American Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Glasnik Matematički. Serija III 1 Journal of Modern Optics 1 General Topology and its Applications
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#### Fields

 11 Linear and multilinear algebra; matrix theory (15-XX) 8 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

27 Publications have been cited 108 times in 89 Documents Cited by Year
Refraction and geometry in Maxwell’s equations. Zbl 0941.78514
Ward, A. J.; Pendry, J. B.
1996
On relations between certain intrinsic topologies in partially ordered sets. Zbl 0066.02101
Ward, A. J.
1955
The Perron-Stieltjes integral. Zbl 0014.39702
Ward, A. J.
1936
On H-equivalence of uniformities (the Isbell-Smith problem). Zbl 0152.40002
Ward, A. J.
1967
On H-equivalence of uniformities. II. Zbl 0187.20101
Ward, A. J.
1969
On the derivation of additive functions of intervals in $$m$$-dimensional space. JFM 63.0192.01
Ward, A. J.
1937
On the differential structure of real functions. Zbl 0012.05903
Ward, A. J.
1935
A novel proof of Roth’s removal rule. Zbl 0803.15013
Ward, A. J. B.
1993
Notes on general topology. I: Convergence of directed nets. II: A generalization of arc-connectedness. III: A non-metric image of an ordered compactum. Zbl 0129.37703
Ward, A. J.
1965
The topological characterisation of an open linear interval. Zbl 0014.13404
Ward, A. J.
1936
A closed-form formula for the inverse of the nivellateur in the solution of Sylvester’s matrix equation. Zbl 0768.15010
Ward, A. J. B.
1993
A general analysis of Sylvester’s matrix equation. Zbl 0748.15015
Ward, A. J. B.
1991
A formula for the solution of the matrix equation $$AX+XB=C$$. Zbl 0689.15003
Ward, A. J. B.
1989
A counter-example in uniformity theory. Zbl 0137.16102
Ward, A. J.
1966
A constructive proof by elementary transformations of Roth’s removal theorems in the theory of matrix equations. Zbl 1025.15023
Ward, A. J. B.; Gerrish, F.
2000
A program for calculating photonic band structures and Green’s functions using a non-orthogonal FDTD method. Zbl 0930.65098
Ward, A. J.; Pendry, J. B.
1998
A generalisation of almost-compactness, with an associated generalisation of completeness. Zbl 0316.54027
Ward, A. J.
1975
The linear derivates and approximate linear derivates of a function of two variables. Zbl 0015.29802
Ward, A. J.
1936
A program for calculating photonic band structures, Green’s functions and transmission/reflection coefficients using a non-orthogonal FDTD method. Zbl 0979.78032
Ward, A. J.; Pendry, J. B.
2000
A straightforward proof of Roth’s lemma in matrix equations. Zbl 1025.15022
Ward, A. J. B.
1999
Roth’s removal theorem for lambda matrices. Zbl 1025.15021
Ward, A. J. B.
1998
Nearnesses of finite order and uniqueness conditions for associated compactifications. Zbl 0402.54028
Ward, A. J.
1978
The Fan integrals interpreted as measure in a product-space. Zbl 0063.08175
Ward, A. J.
1944
On the derivation of additive functions of intervals in m-dimensional space. Zbl 0016.15803
Ward, A. J.
1936
The topological characterisation of an open linear interval. JFM 62.0693.02
Ward, A. J.
1936
On the differential structure of real functions. JFM 61.0248.10
Ward, A. J.
1935
On the points where $$AD_+>AD^-$$. Zbl 0007.40103
Ward, A. J.
1933
A constructive proof by elementary transformations of Roth’s removal theorems in the theory of matrix equations. Zbl 1025.15023
Ward, A. J. B.; Gerrish, F.
2000
A program for calculating photonic band structures, Green’s functions and transmission/reflection coefficients using a non-orthogonal FDTD method. Zbl 0979.78032
Ward, A. J.; Pendry, J. B.
2000
A straightforward proof of Roth’s lemma in matrix equations. Zbl 1025.15022
Ward, A. J. B.
1999
A program for calculating photonic band structures and Green’s functions using a non-orthogonal FDTD method. Zbl 0930.65098
Ward, A. J.; Pendry, J. B.
1998
Roth’s removal theorem for lambda matrices. Zbl 1025.15021
Ward, A. J. B.
1998
Refraction and geometry in Maxwell’s equations. Zbl 0941.78514
Ward, A. J.; Pendry, J. B.
1996
A novel proof of Roth’s removal rule. Zbl 0803.15013
Ward, A. J. B.
1993
A closed-form formula for the inverse of the nivellateur in the solution of Sylvester’s matrix equation. Zbl 0768.15010
Ward, A. J. B.
1993
A general analysis of Sylvester’s matrix equation. Zbl 0748.15015
Ward, A. J. B.
1991
A formula for the solution of the matrix equation $$AX+XB=C$$. Zbl 0689.15003
Ward, A. J. B.
1989
Nearnesses of finite order and uniqueness conditions for associated compactifications. Zbl 0402.54028
Ward, A. J.
1978
A generalisation of almost-compactness, with an associated generalisation of completeness. Zbl 0316.54027
Ward, A. J.
1975
On H-equivalence of uniformities. II. Zbl 0187.20101
Ward, A. J.
1969
On H-equivalence of uniformities (the Isbell-Smith problem). Zbl 0152.40002
Ward, A. J.
1967
A counter-example in uniformity theory. Zbl 0137.16102
Ward, A. J.
1966
Notes on general topology. I: Convergence of directed nets. II: A generalization of arc-connectedness. III: A non-metric image of an ordered compactum. Zbl 0129.37703
Ward, A. J.
1965
On relations between certain intrinsic topologies in partially ordered sets. Zbl 0066.02101
Ward, A. J.
1955
The Fan integrals interpreted as measure in a product-space. Zbl 0063.08175
Ward, A. J.
1944
On the derivation of additive functions of intervals in $$m$$-dimensional space. JFM 63.0192.01
Ward, A. J.
1937
The Perron-Stieltjes integral. Zbl 0014.39702
Ward, A. J.
1936
The topological characterisation of an open linear interval. Zbl 0014.13404
Ward, A. J.
1936
The linear derivates and approximate linear derivates of a function of two variables. Zbl 0015.29802
Ward, A. J.
1936
On the derivation of additive functions of intervals in m-dimensional space. Zbl 0016.15803
Ward, A. J.
1936
The topological characterisation of an open linear interval. JFM 62.0693.02
Ward, A. J.
1936
On the differential structure of real functions. Zbl 0012.05903
Ward, A. J.
1935
On the differential structure of real functions. JFM 61.0248.10
Ward, A. J.
1935
On the points where $$AD_+>AD^-$$. Zbl 0007.40103
Ward, A. J.
1933
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#### Cited by 122 Authors

 8 Ward, A. J. B. 3 Guenneau, Sébastien 3 Künzi, Hans-Peter A. 3 Monteiro, Giselle Antunes 3 Wolk, Elliot S. 2 Bongiorno, Benedetto 2 De Jager, Eliza P. 2 De Lucia, Paolo 2 Erné, Marcel 2 Henstock, Ralph 2 Kuzuoglu, Mustafa 2 Lei, Qiang 2 Li, Ronglu 2 Ozgun, Ozlem 2 Render, Hermann 2 Vroegrijk, Tom 2 Wu, Junde 1 Abram, Richard A. 1 Alekseev, Gennady V. 1 Anderson, Robert F. V. 1 Beravat, R. 1 Bosi, Gianni 1 Bouziad, Ahmed 1 Brand, Samuel P. C. 1 Bruckner, Andrew M. 1 Brun, Michele 1 Bukac, Josef 1 Chen, Ling 1 Chow, Shu-Er 1 Chun, Sehun 1 Colquitt, Daniel J. 1 Danckaert, Jan 1 Daniel, Daniel F. 1 D’Aniello, Emma 1 Dupont, Guillaume 1 Enoch, Stefan 1 Flachsmeyer, Jürgen 1 Gavrilov, Vladimir S. 1 Gei, Massimiliano 1 Gerrish, F. 1 Ginis, V. 1 Goffman, Casper 1 Gralak, Boris 1 Greenleaf, Allan 1 Griffiths, H. Brian 1 Gurau, Razvan G. 1 Gutiérrez, Cristian E. 1 Hitchcock, A. G. 1 Horsley, S. A. R. 1 Johnson, Steven G. 1 Jones, Ian S. F. 1 Kádár, György 1 Kaliteevski, M. A. 1 Khare, Mona 1 Knüppel, Frieder 1 Krajewski, Thomas 1 Kubota, Yôto 1 Kurylev, Yaroslav V. 1 Lassas, Matti 1 Lee, Tuo-Yeong 1 Liu, Hongping 1 Lupiáñez, Francisco Gallego 1 Lutts, J. A. 1 Mahavier, William S. 1 Malý, Jan 1 Mardešić, Sibe 1 Mathews, James C. 1 Mehta, Ghanshyam Bhagvandas 1 Milton, Graeme Walter 1 Moghaddam, A. G. 1 Mohammadi, G. R. 1 Mohammadkhani, Reza 1 Movchan, Alexander B. 1 Movchan, Natalia V. 1 Naito, Tadao 1 Nielsen, Klaus 1 Nikiel, Jacek 1 Nikolaev, V. V. 1 Norris, Andrew N. 1 Norvaiša, Rimas 1 Oniani, Georgi G. 1 Oniani, Giorgi 1 Oniani, Giorgi Gigla 1 Oskooi, Ardavan F. 1 Payan, Cédric 1 Pendry, J. B. 1 Pitz, Max F. 1 Pomot, Lucas 1 Potepun, A. V. 1 Prokip, Volodymyr M. 1 Redfield, Robert H. 1 Remillieux, Marcel C. 1 Rosa, Marco 1 Russell, P. St. J. 1 Sainath, Kamalesh 1 Satco, Bianca-Renata 1 Shchepin, Evgenij V. 1 Singh, Rashmi 1 Skvortsov, Valentin Anatol’evich 1 Soukoulis, Costas M. ...and 22 more Authors
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#### Cited in 56 Serials

 9 Topology and its Applications 7 International Journal of Mathematical Education in Science and Technology 5 Proceedings of the American Mathematical Society 4 Journal of Computational Physics 3 Wave Motion 3 Czechoslovak Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Algebra Universalis 2 Fuzzy Sets and Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 New Journal of Physics 2 Journal of Modern Optics 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Order 1 COMPEL 1 Mathematica Bohemica 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Advances in Difference Equations 1 Waves in Random and Complex Media 1 Bulletin of the American Mathematical Society 1 Proceedings of the Japan Academy 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Open Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 25 Fields

 24 General topology (54-XX) 16 Optics, electromagnetic theory (78-XX) 14 Real functions (26-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Measure and integration (28-XX) 6 Partial differential equations (35-XX) 5 Mathematical logic and foundations (03-XX) 5 Mechanics of deformable solids (74-XX) 4 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)