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Author ID: anderson.ian-m Recent zbMATH articles by "Anderson, Ian M."
Published as: Anderson, Ian M.; Anderson, I. M.; Anderson, Ian
Documents Indexed: 56 Publications since 1976, including 1 Book
Co-Authors: 17 Co-Authors with 44 Joint Publications
376 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 584 times in 402 Documents Cited by Year
Introduction to the variational bicomplex. Zbl 0772.58013
Anderson, Ian M.
84
1992
On the existence of global variational principles. Zbl 0454.58021
Anderson, I. M.; Duchamp, T.
73
1980
The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane. Zbl 0881.35069
Anderson, Ian M.; Kamran, Niky
38
1997
Asymptotic conservation laws in classical field theory. Zbl 1042.70517
Anderson, Ian M.; Torre, Charles G.
31
1996
Internal, external, and generalized symmetries. Zbl 0809.58044
Anderson, Ian M.; Kamran, Niky; Olver, Peter J.
27
1993
Symmetries of the Einstein equations. Zbl 1051.83504
Torre, C. G.; Anderson, I. M.
25
1993
The inverse problem of the calculus of variations for ordinary differential equations. Zbl 0760.49021
Anderson, Ian; Thompson, Gerard
23
1992
Generalized Laplace invariants and the method of Darboux. Zbl 0885.35075
Juráš, Martin; Anderson, Ian M.
21
1997
Exterior differential systems with symmetry. Zbl 1078.58002
Anderson, I. M.; Fels, M. E.
18
2005
Superposition formulas for exterior differential systems. Zbl 1196.37104
Anderson, Ian M.; Fels, Mark E.; Vassiliou, Peter J.
17
2009
Variational principles for second-order quasi-linear scalar equations. Zbl 0533.49010
Anderson, Ian M.; Duchamp, Thomas E.
17
1984
Classification of local generalized symmetries for the vacuum Einstein equations. Zbl 0857.53058
Anderson, Ian M.; Torre, Charles G.
15
1996
Group invariant solutions without transversality. Zbl 0961.35007
Anderson, Ian M.; Fels, Mark E.; Torre, Charles G.
14
2000
The cohomology of invariant variational bicomplexes. Zbl 0843.58030
Anderson, Ian M.; Pohjanpelto, Juha
14
1995
Rank 2 distributions of Monge equations: symmetries, equivalences, extensions. Zbl 1234.34010
Anderson, Ian; Kruglikov, Boris
14
2011
Natural variational principles on Riemannian manifolds. Zbl 0565.58019
Anderson, Ian M.
13
1984
Aspects of the inverse problem to the calculus of variations. Zbl 0674.58017
Anderson, Ian M.
13
1988
Tensorial Euler-Lagrange expressions and conservation laws. Zbl 0418.49041
Anderson, Ian M.
11
1978
New symbolic tools for differential geometry, gravitation, and field theory. Zbl 1273.83013
Anderson, I. M.; Torre, C. G.
11
2012
Bäcklund transformations for Darboux integrable differential systems. Zbl 1331.37101
Anderson, I. M.; Fels, M. E.
9
2015
Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations. Zbl 0804.49030
Anderson, Ian M.; Pohjanpelto, Juha
9
1994
Curvature and tangential deflection of discrete arcs: a theory based on the commutator of scatter matrix pairs and its application to vertex detection in planar shape data. Zbl 0537.68093
Anderson, Ian M.; Bezdek, James C.
9
1984
Symmetry reduction of variational bicomplexes and the principle of symmetric criticality. Zbl 0889.35004
Anderson, Ian M.; Fels, Mark E.
7
1997
Symmetry reduction of exterior differential systems and Bäcklund transformations for PDE in the plane. Zbl 1287.37050
Anderson, I. M.; Fels, M. E.
7
2012
Variational principles for differential equations with symmetries and conservation laws. II: Polynomial differential equations. Zbl 0889.58085
Anderson, Ian M.; Pohjanpelto, Juha
6
1995
Bäcklund transformations for Darboux integrable differential systems: examples and applications. Zbl 1343.37072
Anderson, Ian M.; Fels, Mark E.
5
2016
Non-rigid parabolic geometries of Monge type. Zbl 1377.17012
Anderson, Ian; Nie, Zhaohu; Nurowski, Pawel
5
2015
Symmetries, conservation laws and variational principles for vector field theories. Zbl 1060.58500
Anderson, Ian M.; Pohjanpelto, Juha
5
1996
Perturbations of conservation laws in field theories. Zbl 0615.58025
Arms, Judith M.; Anderson, Ian M.
4
1986
Infinite dimensional Lie algebra cohomology and the cohomology of invariant Euler-Lagrange complexes: A preliminary report. Zbl 0866.58074
Pohjanpelto, Juha; Anderson, Ian M.
4
1996
On the structure of divergence-free tensors. Zbl 0429.53048
Anderson, I. M.
4
1978
Transformations of Darboux integrable systems. Zbl 1183.37107
Anderson, Ian M.; Fels, Mark E.
4
2009
A characterization of the Einstein tensor in terms of spinors. Zbl 0326.53018
Anderson, Ian M.; Lovelock, David
4
1976
Variational principles for natural divergence-free tensors in metric field theories. Zbl 1257.58011
Anderson, Ian M.; Pohjanpelto, Juha
4
2012
Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane. Zbl 0848.58043
Anderson, Ian M.; Kamran, Niky
3
1995
The Cauchy problem for Darboux integrable systems and non-linear d’Alembert formulas. Zbl 1270.35181
Anderson, Ian M.; Fels, Mark E.
3
2013
Group invariant solutions without transversality and the principle of symmetric criticality. Zbl 0992.58020
Anderson, Ian M.; Fels, Mark E.; Torre, Charles G.
2
2001
The cohomology of the variational bicomplex for parabolic second-order equations in the plane. (La cohomologie du complexe bi-gradué variationnel pour les équations paraboliques du deuxième ordre dans le plan.) Zbl 0836.35067
Anderson, Ian M.; Kamran, Niky
2
1995
Explicit ambient metrics and holonomy. Zbl 1437.53038
Anderson, Ian M.; Leistner, Thomas; Nurowski, Paweł
2
2020
Group invariant solutions in mathematical physics and differential geometry. Zbl 0994.58021
Anderson, I. M.; Fels, M. E.; Torre, C. G.
1
2001
Transverse group actions on bundles. Zbl 1020.58011
Anderson, Ian M.; Fels, Mark E.
1
2002
On Darboux integrability. Zbl 1158.35304
Anderson, I. M.; Fels, M. E.; Vassiliou, P. J.
1
2008
Internal symmetries of differential equations. Zbl 0790.34010
Anderson, Ian; Kamran, Niky; Olver, Peter J.
1
1993
A co-chain map or the \(G\) invariant de Rham complex. Zbl 1136.58300
Anderson, I. M.; Fels, M. E.
1
2005
Spacetime groups. Zbl 1455.83002
Anderson, Ian; Torre, Charles
1
2020
\(\mathbf{Sp}(3,\mathbb{R})\) Monge geometries in dimension 8. Zbl 1376.53024
Anderson, Ian M.; Nurowski, Paweł
1
2017
Explicit ambient metrics and holonomy. Zbl 1437.53038
Anderson, Ian M.; Leistner, Thomas; Nurowski, Paweł
2
2020
Spacetime groups. Zbl 1455.83002
Anderson, Ian; Torre, Charles
1
2020
\(\mathbf{Sp}(3,\mathbb{R})\) Monge geometries in dimension 8. Zbl 1376.53024
Anderson, Ian M.; Nurowski, Paweł
1
2017
Bäcklund transformations for Darboux integrable differential systems: examples and applications. Zbl 1343.37072
Anderson, Ian M.; Fels, Mark E.
5
2016
Bäcklund transformations for Darboux integrable differential systems. Zbl 1331.37101
Anderson, I. M.; Fels, M. E.
9
2015
Non-rigid parabolic geometries of Monge type. Zbl 1377.17012
Anderson, Ian; Nie, Zhaohu; Nurowski, Pawel
5
2015
The Cauchy problem for Darboux integrable systems and non-linear d’Alembert formulas. Zbl 1270.35181
Anderson, Ian M.; Fels, Mark E.
3
2013
New symbolic tools for differential geometry, gravitation, and field theory. Zbl 1273.83013
Anderson, I. M.; Torre, C. G.
11
2012
Symmetry reduction of exterior differential systems and Bäcklund transformations for PDE in the plane. Zbl 1287.37050
Anderson, I. M.; Fels, M. E.
7
2012
Variational principles for natural divergence-free tensors in metric field theories. Zbl 1257.58011
Anderson, Ian M.; Pohjanpelto, Juha
4
2012
Rank 2 distributions of Monge equations: symmetries, equivalences, extensions. Zbl 1234.34010
Anderson, Ian; Kruglikov, Boris
14
2011
Superposition formulas for exterior differential systems. Zbl 1196.37104
Anderson, Ian M.; Fels, Mark E.; Vassiliou, Peter J.
17
2009
Transformations of Darboux integrable systems. Zbl 1183.37107
Anderson, Ian M.; Fels, Mark E.
4
2009
On Darboux integrability. Zbl 1158.35304
Anderson, I. M.; Fels, M. E.; Vassiliou, P. J.
1
2008
Exterior differential systems with symmetry. Zbl 1078.58002
Anderson, I. M.; Fels, M. E.
18
2005
A co-chain map or the \(G\) invariant de Rham complex. Zbl 1136.58300
Anderson, I. M.; Fels, M. E.
1
2005
Transverse group actions on bundles. Zbl 1020.58011
Anderson, Ian M.; Fels, Mark E.
1
2002
Group invariant solutions without transversality and the principle of symmetric criticality. Zbl 0992.58020
Anderson, Ian M.; Fels, Mark E.; Torre, Charles G.
2
2001
Group invariant solutions in mathematical physics and differential geometry. Zbl 0994.58021
Anderson, I. M.; Fels, M. E.; Torre, C. G.
1
2001
Group invariant solutions without transversality. Zbl 0961.35007
Anderson, Ian M.; Fels, Mark E.; Torre, Charles G.
14
2000
The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane. Zbl 0881.35069
Anderson, Ian M.; Kamran, Niky
38
1997
Generalized Laplace invariants and the method of Darboux. Zbl 0885.35075
Juráš, Martin; Anderson, Ian M.
21
1997
Symmetry reduction of variational bicomplexes and the principle of symmetric criticality. Zbl 0889.35004
Anderson, Ian M.; Fels, Mark E.
7
1997
Asymptotic conservation laws in classical field theory. Zbl 1042.70517
Anderson, Ian M.; Torre, Charles G.
31
1996
Classification of local generalized symmetries for the vacuum Einstein equations. Zbl 0857.53058
Anderson, Ian M.; Torre, Charles G.
15
1996
Symmetries, conservation laws and variational principles for vector field theories. Zbl 1060.58500
Anderson, Ian M.; Pohjanpelto, Juha
5
1996
Infinite dimensional Lie algebra cohomology and the cohomology of invariant Euler-Lagrange complexes: A preliminary report. Zbl 0866.58074
Pohjanpelto, Juha; Anderson, Ian M.
4
1996
The cohomology of invariant variational bicomplexes. Zbl 0843.58030
Anderson, Ian M.; Pohjanpelto, Juha
14
1995
Variational principles for differential equations with symmetries and conservation laws. II: Polynomial differential equations. Zbl 0889.58085
Anderson, Ian M.; Pohjanpelto, Juha
6
1995
Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane. Zbl 0848.58043
Anderson, Ian M.; Kamran, Niky
3
1995
The cohomology of the variational bicomplex for parabolic second-order equations in the plane. (La cohomologie du complexe bi-gradué variationnel pour les équations paraboliques du deuxième ordre dans le plan.) Zbl 0836.35067
Anderson, Ian M.; Kamran, Niky
2
1995
Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations. Zbl 0804.49030
Anderson, Ian M.; Pohjanpelto, Juha
9
1994
Internal, external, and generalized symmetries. Zbl 0809.58044
Anderson, Ian M.; Kamran, Niky; Olver, Peter J.
27
1993
Symmetries of the Einstein equations. Zbl 1051.83504
Torre, C. G.; Anderson, I. M.
25
1993
Internal symmetries of differential equations. Zbl 0790.34010
Anderson, Ian; Kamran, Niky; Olver, Peter J.
1
1993
Introduction to the variational bicomplex. Zbl 0772.58013
Anderson, Ian M.
84
1992
The inverse problem of the calculus of variations for ordinary differential equations. Zbl 0760.49021
Anderson, Ian; Thompson, Gerard
23
1992
Aspects of the inverse problem to the calculus of variations. Zbl 0674.58017
Anderson, Ian M.
13
1988
Perturbations of conservation laws in field theories. Zbl 0615.58025
Arms, Judith M.; Anderson, Ian M.
4
1986
Variational principles for second-order quasi-linear scalar equations. Zbl 0533.49010
Anderson, Ian M.; Duchamp, Thomas E.
17
1984
Natural variational principles on Riemannian manifolds. Zbl 0565.58019
Anderson, Ian M.
13
1984
Curvature and tangential deflection of discrete arcs: a theory based on the commutator of scatter matrix pairs and its application to vertex detection in planar shape data. Zbl 0537.68093
Anderson, Ian M.; Bezdek, James C.
9
1984
On the existence of global variational principles. Zbl 0454.58021
Anderson, I. M.; Duchamp, T.
73
1980
Tensorial Euler-Lagrange expressions and conservation laws. Zbl 0418.49041
Anderson, Ian M.
11
1978
On the structure of divergence-free tensors. Zbl 0429.53048
Anderson, I. M.
4
1978
A characterization of the Einstein tensor in terms of spinors. Zbl 0326.53018
Anderson, Ian M.; Lovelock, David
4
1976
all top 5

Cited by 398 Authors

27 Anderson, Ian M.
14 Barnich, Glenn
13 Kruglikov, Boris S.
11 Rossi, Olga
10 Kara, Abdul Hamid
10 Palese, Marcella
10 Pohjanpelto, Juha
10 Torre, Charles G.
9 Fels, Mark E.
9 Vassiliou, Peter John
8 Krupka, Demeter
8 Saunders, David J.
7 Francaviglia, Mauro
7 Khabibullin, Ismagil Talgatovich
7 Sardanashvily, Gennadi A.
7 Winterroth, Ekkehart
6 Brandt, Friedemann
6 Henneaux, Marc
5 Khavkine, Igor
5 Muñoz Masqué, Jaime
5 Olver, Peter John
5 Speziale, Simone
5 Vitolo, Raffaele F.
4 Bucataru, Joan
4 Doubrov, Boris M.
4 Ferreiro Pérez, Roberto
4 Grigoriev, Maxim
4 Mahomed, Fazal M.
4 Navarro Garmendia, José
4 Noriega, Ricardo José
4 Oliveri, Roberto
4 Popovych, Roman O.
4 Prince, Geoff E.
4 Schifini, Claudio G.
4 Shemyakova, Ekaterina
4 Solov’ev, Vladimir O.
4 Urban, Zbyněk
4 Volná, Jana
3 Ali, Sajid
3 Clelland, Jeanne Nielsen
3 Crampin, Mike
3 Ferraris, Marco
3 Freidel, Laurent
3 Giachetta, Giovanni
3 Ivey, Thomas A.
3 Kamran, Niky
3 Mangiarotti, Luigi
3 Musilová, Jana
3 Muzsnay, Zoltán
3 Nashed, Gamal G. L.
3 Pranzetti, Daniele
3 Qadir, Asghar
3 Rosenhaus, Vladimir
3 Sharapov, Alexey A.
3 The, Dennis
3 Valiquette, Francis
3 Vitagliano, Luca
3 Zelenko, Igor
3 Zheltukhina, Natalya A.
2 Athorne, Chris
2 Bihlo, Alexander
2 Biswas, Anjan
2 Capriotti, Santiago
2 Castrillón López, Marco
2 Cheviakov, Alexei F.
2 Compère, Geoffrey
2 Constantinescu, Oana
2 Davis, Simon Brian
2 Durán Fernandez, Carlos Eduardo
2 Ernst, Frederick J. jun.
2 Fatibene, Lorenzo
2 Fino, Anna
2 Grigore, Dan Radu
2 Gubbiotti, Giorgio
2 Hauser, Isidore
2 Horndeski, Gregory Walter
2 Hu, Yuhao
2 Huang, S.-L. Tracy
2 Juráš, Martin
2 Kath, Ines
2 Khakimova, Aĭgul’ Rinatovna
2 Krongos, D. S.
2 López, M. C.
2 Makhmali, Omid
2 Manno, Gianni
2 Mao, Pujian
2 Morando, Paola
2 Moreno, Giovanni
2 Moretti, Valter
2 Navarro, Alberto
2 Nikolov, Petko A.
2 Nucci, Maria Clara
2 Otero, Diego
2 Pekcan, Asli
2 Petrov, Nikola P.
2 Reyes, Enrique G.
2 Sarlet, Willy
2 Schiavina, Michele
2 Spiro, Andrea F.
2 Tehseen, Naghmana
...and 298 more Authors
all top 5

Cited in 110 Serials

42 Journal of Mathematical Physics
28 Journal of Geometry and Physics
25 Differential Geometry and its Applications
18 Acta Applicandae Mathematicae
14 General Relativity and Gravitation
14 International Journal of Geometric Methods in Modern Physics
12 Journal of High Energy Physics
12 Journal of Nonlinear Mathematical Physics
11 Theoretical and Mathematical Physics
10 Communications in Mathematical Physics
9 Journal of Physics A: Mathematical and Theoretical
8 Classical and Quantum Gravity
7 Nuclear Physics. B
7 Transactions of the American Mathematical Society
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Communications in Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Differential Equations
6 Pattern Recognition
6 Journal of Mathematical Sciences (New York)
4 Archive for Rational Mechanics and Analysis
4 International Journal of Theoretical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physics Letters. B
4 Annales Henri Poincaré
4 Physical Review Letters
3 Reports on Mathematical Physics
3 Duke Mathematical Journal
3 Mathematics and Computers in Simulation
3 Living Reviews in Relativity
3 Advances in High Energy Physics
2 International Journal of Modern Physics A
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Physics Reports
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Mathematische Annalen
2 Programming and Computer Software
2 Journal of Symbolic Computation
2 The Journal of Geometric Analysis
2 Russian Mathematics
2 Selecta Mathematica. New Series
2 Nonlinear Dynamics
2 Regular and Chaotic Dynamics
2 Journal of Dynamical and Control Systems
2 Lobachevskii Journal of Mathematics
2 Mathematics in Computer Science
2 Journal of Geometric Mechanics
2 Forum of Mathematics, Sigma
2 Journal of Mathematics
1 Modern Physics Letters A
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 BIT
1 Geometriae Dedicata
1 Journal of Pure and Applied Algebra
1 Monatshefte für Mathematik
1 SIAM Journal on Control and Optimization
1 Studies in Applied Mathematics
1 Topology and its Applications
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Aequationes Mathematicae
1 Annals of Physics
1 Journal of Elasticity
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Nuclear Physics. B. Proceedings Supplements
1 International Journal of Modern Physics D
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Communications in Nonlinear Science and Numerical Simulation
1 Russian Physics Journal
1 The ANZIAM Journal
1 Advances in Geometry
1 Foundations of Computational Mathematics
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Portugaliae Mathematica. Nova Série
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
...and 10 more Serials
all top 5

Cited in 44 Fields

151 Global analysis, analysis on manifolds (58-XX)
104 Partial differential equations (35-XX)
101 Differential geometry (53-XX)
86 Relativity and gravitational theory (83-XX)
82 Mechanics of particles and systems (70-XX)
70 Dynamical systems and ergodic theory (37-XX)
59 Quantum theory (81-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
34 Ordinary differential equations (34-XX)
23 Computer science (68-XX)
14 Algebraic topology (55-XX)
13 Nonassociative rings and algebras (17-XX)
12 Topological groups, Lie groups (22-XX)
10 Difference and functional equations (39-XX)
7 Systems theory; control (93-XX)
5 Functional analysis (46-XX)
5 Manifolds and cell complexes (57-XX)
5 Numerical analysis (65-XX)
5 Mechanics of deformable solids (74-XX)
5 Fluid mechanics (76-XX)
5 Optics, electromagnetic theory (78-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Associative rings and algebras (16-XX)
4 Operator theory (47-XX)
4 Biology and other natural sciences (92-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
3 Approximations and expansions (41-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year