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Author ID: olver.peter-j Recent zbMATH articles by "Olver, Peter John"
Published as: Olver, Peter J.; Olver, P. J.; Olver, Peter; Olver, P.
Homepage: http://www-users.math.umn.edu/~olver/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

80 single-authored
23 Kamran, Niky
11 González-López, Artemio
11 Pohjanpelto, Juha
10 Tannenbaum, Allen Robert
9 Qu, Changzheng
7 Shakiban, Chehrzad
5 Kang, Jing
5 Li, Yi A.
5 Liu, Xiaochuan
4 Fels, Mark E.
4 Rosenau, Philip S.
4 Sapiro, Guillermo
4 Valiquette, Francis
3 Kogan, Irina A.
3 Liu, Yue
3 Winternitz, Pavel
2 Anderson, Ian M.
2 Calabi, Eugenio
2 Calder, Jeff
2 Chen, Gong
2 Clarkson, Peter A.
2 Finkel, Federico
2 Foursov, Mikhail V.
2 Hoff, Daniel J.
2 Kichenassamy, Satyanad
2 Levi, Decio
2 Lewis, Debra
2 Marí Beffa, Gloria
2 McLeod, John Bryce
2 Muriel, Concepción
2 Nutku, Yavuz
2 Sanders, Jan A.
2 Sheils, Natalie E.
2 Smith, David Andrew
2 Sokolov, Vladimir Vyacheslavovich
2 Wang, Jingping
2 Yezzi-Woodley, Katrina
1 Acosta Humánez, Primitivo Belén
1 Angulo-Umaña, Pedro
1 Arik, Metin
1 Aronson, Donald G.
1 Baikov, V. A.
1 Ball, John MacLeod
1 Benjamin, Thomas Brooke
1 Berchenko, Irina
1 Bloch, Anthony Michael
1 Boulton, Lyonell
1 Bozhkov, Yuri Dimitrov
1 Brinkman, Daniel
1 Cheh, Jeongoo
1 Chen, Jeongoo
1 Cody, Paige
1 Coil, Reed
1 Cucker, Felipe
1 Currie, J. C.
1 DeVore, Ronald A.
1 Farmakis, George
1 Fernandez, Oscar E.
1 Fokas, Athanassios S.
1 Gazizov, Rafail Kav’evich
1 Georgiou, Tryphon T.
1 Gómez-Ullate, David
1 Grinberg, Darij
1 Guha, Partha
1 Gui, Guilong
1 Gunney, Brian T. N.
1 Hatfield, Gary A.
1 Hereman, Willy A.
1 Hernández Heredero, Rafael
1 Hessburg, Bo
1 Hubert, Evelyne
1 Huffstutler, Thomas
1 Hurtubise, Jacques C.
1 Ibragimov, Nail Hairullovich
1 Iserles, Arieh
1 Itskov, Vladimir
1 Jodeit, Max jun.
1 Kac, Victor
1 Kaup, David J.
1 Kim, Pilwon
1 Kumar, Arun
1 Levine, Howard Allen
1 Lewis, Mark Alun
1 Li, Bingtuan
1 Li, Hongbo
1 Lui, Roger
1 Maliakas, Mihalis
1 Malkoun, Joseph
1 Malomed, F. M.
1 Meleshko, Sergey V.
1 Melton, Annie
1 Miller, Willard jun.
1 Milson, Robert
1 Neyzi, Fahrünisa
1 Nigam, Nilima
1 Nucci, Maria Clara
1 O’Neill, Riley C. W.
1 Özer, Teoman
1 Pelloni, Beatrice
1 Petitot, Michel
...and 35 more Co-Authors
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Serials

7 Journal of Mathematical Physics
6 Advances in Mathematics
6 Acta Applicandae Mathematicae
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Archive for Rational Mechanics and Analysis
5 Journal of Differential Equations
5 SIAM Journal on Mathematical Analysis
4 Communications in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Mathematical Analysis and Applications
3 Nonlinearity
3 Studies in Applied Mathematics
3 Advances in Applied Mathematics
3 European Journal of Applied Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Journal of Lie Theory
3 Discrete and Continuous Dynamical Systems
3 Regular and Chaotic Dynamics
3 Foundations of Computational Mathematics
3 Graduate Texts in Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Journal of Symbolic Computation
2 Differential Geometry and its Applications
2 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Imaging and Vision
2 Selecta Mathematica. New Series
2 Transformation Groups
2 Communications in Contemporary Mathematics
2 Lobachevskii Journal of Mathematics
2 Contemporary Mathematics
2 The IMA Volumes in Mathematics and its Applications
2 London Mathematical Society Lecture Note Series
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Geometric Mechanics
2 Undergraduate Texts in Mathematics
1 American Mathematical Monthly
1 Archives of Mechanics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 American Journal of Mathematics
1 Canadian Journal of Mathematics
1 Journal of Algebra
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Real Analysis Exchange
1 Transactions of the American Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Applied Numerical Mathematics
1 The Journal of Geometric Analysis
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Nonlinear Science
1 Communications in Analysis and Geometry
1 Symmetry: Culture and Science
1 RIMS Kokyuroku
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Lie Groups and their Applications
1 Journal of Nonlinear Mathematical Physics
1 Portugaliae Mathematica. Nova Série
1 Analysis and Applications (Singapore)
1 CRM Proceedings & Lecture Notes
1 Lecture Notes in Computer Science
1 London Mathematical Society Student Texts
1 SIAM Journal on Imaging Sciences
1 Forum of Mathematics, Sigma
1 Springer Proceedings in Mathematics & Statistics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SIAM Journal on Applied Algebra and Geometry
1 Journal of Integrable Systems
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Fields

87 Partial differential equations (35-XX)
72 Global analysis, analysis on manifolds (58-XX)
62 Differential geometry (53-XX)
34 Dynamical systems and ergodic theory (37-XX)
28 Topological groups, Lie groups (22-XX)
21 Computer science (68-XX)
19 Ordinary differential equations (34-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
16 Mechanics of particles and systems (70-XX)
15 Numerical analysis (65-XX)
14 Quantum theory (81-XX)
13 Nonassociative rings and algebras (17-XX)
13 Mechanics of deformable solids (74-XX)
13 Fluid mechanics (76-XX)
10 General and overarching topics; collections (00-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
5 Number theory (11-XX)
5 Commutative algebra (13-XX)
5 Operator theory (47-XX)
5 Manifolds and cell complexes (57-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Field theory and polynomials (12-XX)
3 Algebraic geometry (14-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Information and communication theory, circuits (94-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

189 Publications have been cited 8,893 times in 6,497 Documents Cited by Year
Applications of Lie groups to differential equations. 2nd ed. Zbl 0785.58003
Olver, Peter J.
1993
Applications of Lie groups to differential equations. Zbl 0588.22001
Olver, Peter J.
1986
Equivalence, invariants, and symmetry. Zbl 0837.58001
Olver, Peter J.
456
1995
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119
Li, Yi A.; Olver, Peter J.
420
2000
Noether’s theorems and systems of Cauchy-Kovalevskaya type. Zbl 0656.58039
Olver, P. J.
338
1986
Evolution equations possessing infinitely many symmetries. Zbl 0348.35024
Olver, Peter J.
259
1977
Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026
Olver, Peter J.
235
2000
Classical invariant theory. Zbl 0971.13004
Olver, Peter J.
212
1999
Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013
Fels, Mark; Olver, Peter J.
200
1999
CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003
189
1996
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
172
2013
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020
Ball, J. M.; Currie, J. C.; Olver, P. J.
154
1981
Euler operators and conservation laws of the BBM equation. Zbl 0387.35050
Olver, Peter J.
149
1979
Group-invariant solutions of differential equations. Zbl 0621.35007
Olver, Peter J.; Rosenau, Philip
110
1987
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
Kichenassamy, Satyanad; Olver, Peter J.
110
1992
Integrable evolution equations on associative algebras. Zbl 0908.35124
Olver, Peter J.; Sokolov, Vladimir V.
100
1998
The construction of special solutions to partial differential equations. Zbl 0937.35501
Olver, Peter; Rosenau, Philip
99
1986
Moving coframes. I: A practical algorithm. Zbl 0937.53012
Fels, Mark; Olver, Peter J.
99
1998
Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020
Benjamin, T. Brooke; Olver, P. J.
94
1982
Generating differential invariants. Zbl 1124.53006
Olver, Peter J.
66
2007
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118
Li, Y. A.; Olver, P. J.
63
1997
Direct reduction and differential constraints. Zbl 0814.35003
Olver, Peter J.
60
1994
Lie algebras of vector fields in the real plane. Zbl 0872.17022
González-López, Artemio; Kamran, Niky; Olver, Peter J.
60
1992
Differential invariants of conformal and projective surfaces. Zbl 1141.53010
Hubert, Evelyne; Olver, Peter J.
57
2007
Applications of Lie groups to differential equations. (Prilozheniya grupp Li k differentsial’nym uravneniyam). Transl. from the English I. G. Shcherbak. Transl. ed. and with a preface by A. B. Shabat. (Prilozheniya grupp Li k differentsial’nym uravneniyam.) Zbl 0743.58003
Olver, P.
56
1989
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators. Zbl 0767.35052
González-López, Artemio; Kamran, Niky; Olver, Peter J.
56
1993
A nonlinear Hamiltonian structure for the Euler equations. Zbl 0534.76035
Olver, Peter J.
49
1982
Symmetry and the Chazy equation. Zbl 0842.34010
Clarkson, Peter A.; Olver, Peter J.
49
1996
The connection between partial differential equations soluble by inverse scattering and ordinary differential equations of Painleve type. Zbl 0518.35075
McLeod, J. B.; Olver, P. J.
48
1983
Hamiltonian and non-Hamiltonian models for water waves. Zbl 0583.76014
Olver, Peter J.
48
1984
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
47
2014
Symmetry groups and path-independent integrals. Zbl 0591.73024
Olver, P. J.
47
1985
Moving frames: a brief survey. Zbl 1076.53018
Olver, Peter J.
45
2001
Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015
Kogan, Irina A.; Olver, Peter J.
45
2003
Hamiltonian structures for systems of hyperbolic conservation laws. Zbl 0697.35084
Olver, Peter J.; Nutku, Yavuz
42
1988
Hamiltonian perturbation theory and water waves. Zbl 0521.76018
Olver, Peter
41
1984
On the Hamiltonian structure of evolution equations. Zbl 0445.58012
Olver, Peter J.
40
1980
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157
Li, Y. A.; Olver, P. J.
39
1998
Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029
Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun.
39
1996
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
38
2001
Introduction to partial differential equations. Zbl 1295.35001
Olver, Peter J.
37
2014
Lie algebras of differential operators and Lie-algebraic potentials. Zbl 0693.34021
Kamran, Niky; Olver, Peter J.
37
1990
Invariant submanifold flows. Zbl 1146.53040
Olver, Peter J.
37
2008
Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics. Zbl 0582.73024
Olver, Peter J.
36
1984
Moving frames for Lie pseudo-groups. Zbl 1160.53006
Olver, Peter J.; Pohjanpelto, Juha
36
2008
On multivariate interpolation. Zbl 1145.41311
Olver, Peter J.
34
2006
Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135
Olver, Peter J.
31
2001
Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018
Olver, Peter J.; Pohjanpelto, Juha
30
2009
Internal, external, and generalized symmetries. Zbl 0809.58044
Anderson, Ian M.; Kamran, Niky; Olver, Peter J.
28
1993
Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
26
2016
Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014
Olver, Peter J.; Pohjanpelto, Juha
26
2005
A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121
Fokas, A. S.; Olver, P. J.; Rosenau, P.
26
1997
Lie algebras of differential operators in two complex variables. Zbl 0781.17011
González-López, Artemio; Kamran, Niky; Olver, Peter J.
26
1992
Variational \(C^{\infty}\)-symmetries and Euler–Lagrange equations. Zbl 1085.70016
Muriel, C.; Romero, J. L.; Olver, P. J.
25
2006
Classification of integrable one-component systems on associative algebras. Zbl 1033.37035
Olver, Peter J.; Wang, Jing Ping
25
2000
Non-analytic solutions of nonlinear wave models. Zbl 0940.35176
Li, Yi A.; Olver, Peter J.; Rosenau, Philip
25
1999
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
24
1996
Multi-Hamiltonian structure of the Born-Infeld equation. Zbl 0850.70173
Arik, Metin; Neyzi, Fahrünisa; Nutku, Yavuz; Olver, Peter J.; Verosky, John M.
24
1989
Conservation laws in elasticity. I: General results. Zbl 0559.73019
Olver, Peter J.
24
1984
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
22
2004
Moving frames and singularities of prolonged group actions. Zbl 0966.57037
Olver, Peter J.
21
2000
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
21
2000
Quasi-exactly solvable Lie algebras of differential operators in two complex variables. Zbl 0760.17021
González-López, Artemio; Kamran, Niky; Olver, Peter J.
20
1991
Darboux’ theorem for Hamiltonian differential operators. Zbl 0651.47036
Olver, Peter J.
19
1988
Symmetry groups and group invariant solutions of partial differential equations. Zbl 0437.58024
Olver, Peter J.
18
1979
Conservation laws and null divergences. Zbl 0556.35021
Olver, Peter J.
18
1983
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
17
2014
Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058
Guha, Partha; Olver, Peter J.
17
2006
Equivalence of differential operators. Zbl 0715.47032
Kamran, Niky; Olver, Peter J.
17
1989
Symmetry and explicit solutions of partial differential equations. Zbl 0777.35017
Olver, Peter J.
17
1992
Applications of Lie groups to differential equations. Lecture Notes. Zbl 0599.58050
Olver, Peter J.
17
1980
The structure of null Lagrangians. Zbl 0662.49016
Olver, P. J.; Sivaloganathan, J.
17
1988
Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016
Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
17
2008
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
16
2010
Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097
Olver, P. J.; Sokolov, V. V.
16
1998
Non-associative local Lie groups. Zbl 0862.22005
Olver, Peter J.
15
1996
New quasi-exactly solvable Hamiltonians in two dimensions. Zbl 0811.35106
González-López, Artemio; Kamran, Niky; Olver, Peter J.
15
1994
Recursive moving frames. Zbl 1254.22014
Olver, Peter J.
15
2011
A survey of moving frames. Zbl 1078.53507
Olver, Peter J.
14
2005
Lectures on moving frames. Zbl 1235.53016
Olver, Peter J.
14
2011
Symmetries of polynomials. Zbl 0970.15023
Berchenko, Irina; Olver, Peter J.
14
2000
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
14
2000
Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024
Olver, P. J.
14
2010
Dispersion of discontinuous periodic waves. Zbl 1371.35246
Chen, Gong; Olver, Peter J.
13
2013
Extensions of invariant signatures for object recognition. Zbl 1276.68137
Hoff, Daniel J.; Olver, Peter J.
13
2013
Liouville correspondences between integrable hierarchies. Zbl 1366.37133
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
12
2017
Automatic solution of jigsaw puzzles. Zbl 1361.68291
Hoff, Daniel J.; Olver, Peter J.
12
2014
Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010
Olver, Peter J.
12
2001
Equivalence problems for first order Lagrangians on the line. Zbl 0677.49034
Kamran, Niky; Olver, Peter J.
12
1989
Hyperjacobians, determinantal ideals and weak solutions to variational problems. Zbl 0562.49005
Olver, Peter J.
12
1983
Moving frames and joint differential invariants. Zbl 1014.53013
Olver, P. J.
12
1999
Differential invariants of surfaces. Zbl 1164.53002
Olver, Peter J.
12
2009
A resolution of the Euler operator. I. Zbl 0395.49002
Olver, Peter J.; Shakiban, Chehrzad
11
1978
Invariant histograms. Zbl 1266.53003
Brinkman, Daniel; Olver, Peter J.
11
2012
Integrability of Klein-Gordon equations. Zbl 0629.35104
Clarkson, Peter A.; McLeod, J. Bryce; Olver, Peter J.; Ramani, Alfred
11
1986
Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017
Lewis, Debra; Olver, Peter J.
11
2002
Real Lie algebras of differential operators and quasi-exactly solvable potentials. Zbl 0872.17021
González-López, Artemio; Kamran, Niky; Olver, Peter
11
1996
Differential invariant algebras. Zbl 1232.53021
Olver, Peter J.
10
2011
Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
10
1999
Canonical elastic moduli. Zbl 0658.73014
Olver, Peter J.
10
1988
Invariants of finite and discrete group actions via moving frames. Zbl 07700369
Olver, Peter J.
2
2023
New revival phenomena for linear integro-differential equations. Zbl 1485.81046
Boulton, Lyonell; Olver, Peter J.; Pelloni, Beatrice; Smith, David A.
4
2021
Continuous maps from spheres converging to boundaries of convex hulls. Zbl 1459.52012
Malkoun, Joseph; Olver, Peter J.
1
2021
Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices. Zbl 1484.37093
Olver, Peter J.; Stern, Ari
1
2021
Feature matching and heat flow in centro-affine geometry. Zbl 1460.53010
Olver, Peter J.; Qu, Changzheng; Yang, Yun
4
2020
Revivals and fractalisation in the linear free space Schrödinger equation. Zbl 1431.35146
Olver, Peter J.; Sheils, Natalie E.; Smith, David A.
4
2020
Equi-affine differential invariants for invariant feature point detection. Zbl 1503.53175
Tuznik, Stanley L.; Olver, Peter J.; Tannenbaum, Allen
3
2020
Liouville correspondences between multicomponent integrable hierarchies. Zbl 1457.37087
Kang, Jing; Liu, Xiaochuan; Olver, P. J.; Qu, Changzheng
2
2020
Computation of circular area and spherical volume invariants via boundary integrals. Zbl 07198503
O’Neill, Riley C. W.; Angulo-Umaña, Pedro; Calder, Jeff; Hessburg, Bo; Olver, Peter J.; Shakiban, Chehrzad; Yezzi-Woodley, Katrina
1
2020
Dispersive Lamb systems. Zbl 1435.35223
Olver, Peter J.; Sheils, Natalie E.
5
2019
Joint differential invariants of binary and ternary forms. Zbl 1436.53011
Polat, Gülden Gün; Olver, Peter J.
4
2019
The \(n\) body matrix and its determinant. Zbl 1442.70008
Grinberg, Darij; Olver, Peter J.
3
2019
Applied linear algebra. 2nd edition, previously published by Pearson/Prentice Hall 2006. Zbl 1402.15001
Olver, Peter J.; Shakiban, Chehrzad
7
2018
Normal forms for submanifolds under group actions. Zbl 1426.22014
Olver, Peter J.
7
2018
Recursive moving frames for Lie pseudo-groups. Zbl 1403.53016
Olver, Peter J.; Valiquette, Francis
6
2018
Points of constancy of the periodic linearized Korteweg-deVries equation. Zbl 1407.35179
Olver, Peter J.; Tsatis, Efstratios
5
2018
On the commutator of \(\mathcal C^\infty\)-symmetries and the reduction of Euler-Lagrange equations. Zbl 1391.49018
Ruiz, A.; Muriel, C.; Olver, P. J.
4
2018
Prolonged analytic connected group actions are generically free. Zbl 1432.22025
Adams, Scot; Olver, Peter J.
2
2018
Liouville correspondences between integrable hierarchies. Zbl 1366.37133
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
12
2017
Bäcklund transformations for tri-Hamiltonian dual structures of multi-component integrable systems. Zbl 1403.37080
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
2
2017
Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
26
2016
The symmetry groupoid and weighted signature of a geometric object. Zbl 1341.53027
Olver, Peter J.
9
2016
Invariants of objects and their images under surjective maps. Zbl 1332.53021
Kogan, I. A.; Olver, P. J.
4
2015
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
47
2014
Introduction to partial differential equations. Zbl 1295.35001
Olver, Peter J.
37
2014
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
17
2014
Automatic solution of jigsaw puzzles. Zbl 1361.68291
Hoff, Daniel J.; Olver, Peter J.
12
2014
Numerical simulation of nonlinear dispersive quantization. Zbl 1358.35152
Chen, Gong; Olver, Peter J.
9
2014
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
172
2013
Dispersion of discontinuous periodic waves. Zbl 1371.35246
Chen, Gong; Olver, Peter J.
13
2013
Extensions of invariant signatures for object recognition. Zbl 1276.68137
Hoff, Daniel J.; Olver, Peter J.
13
2013
Invariant histograms. Zbl 1266.53003
Brinkman, Daniel; Olver, Peter J.
11
2012
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
7
2012
Persistence of freeness for Lie pseudogroup actions. Zbl 1260.58010
Olver, Peter J.; Pohjanpelto, Juha
4
2012
Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Zbl 1234.81013
2
2012
Recursive moving frames. Zbl 1254.22014
Olver, Peter J.
15
2011
Lectures on moving frames. Zbl 1235.53016
Olver, Peter J.
14
2011
Differential invariant algebras. Zbl 1232.53021
Olver, Peter J.
10
2011
Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Zbl 1218.39002
5
2011
Lie completion of pseudo-groups. Zbl 1257.22004
Itskov, Vladimir; Olver, Peter J.; Valiquette, Francis
5
2011
Pohozhaev and Morawetz identities in elastostatics and elastodynamics. Zbl 1244.35143
Bozhkov, Yuri; Olver, Peter J.
2
2011
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
16
2010
Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024
Olver, P. J.
14
2010
Recent advances in the theory and application of Lie pseudo-groups. Zbl 1330.81112
Olver, Peter
1
2010
Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018
Olver, Peter J.; Pohjanpelto, Juha
30
2009
Differential invariants of surfaces. Zbl 1164.53002
Olver, Peter J.
12
2009
On the structure of Lie pseudo-groups. Zbl 1241.58008
Olver, Peter J.; Pohjanpelto, Juha; Valiquette, Francis
10
2009
Local symplectic invariants for curves. Zbl 1176.53032
Kamran, Niky; Olver, Peter; Tenenblat, Keti
6
2009
Equivalence, invariants, and symmetry. Reprint of the 1995 hardback ed. Zbl 1156.58002
Olver, Peter J.
6
2009
Differential invariants of maximally symmetric submanifolds. Zbl 1169.53012
Olver, Peter J.
1
2009
Invariant submanifold flows. Zbl 1146.53040
Olver, Peter J.
37
2008
Moving frames for Lie pseudo-groups. Zbl 1160.53006
Olver, Peter J.; Pohjanpelto, Juha
36
2008
Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016
Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
17
2008
Moving frames and differential invariants for Lie pseudo-groups. Zbl 1146.58010
Olver, Peter; Pohjanpelto, Juha
5
2008
Pseudo-groups, moving frames, and differential invariants. Zbl 1144.58013
Olver, Peter J.; Pohjanpelto, Juha
2
2008
Generating differential invariants. Zbl 1124.53006
Olver, Peter J.
66
2007
Differential invariants of conformal and projective surfaces. Zbl 1141.53010
Hubert, Evelyne; Olver, Peter J.
57
2007
Differential invariants for Lie pseudo-groups. Zbl 1133.58009
Olver, Peter; Pohjanpelto, Juha
7
2007
Generalized transvectants and Siegel modular forms. Zbl 1221.11117
Olver, P. J.; Petitot, M.; Solé, P.
1
2007
On multivariate interpolation. Zbl 1145.41311
Olver, Peter J.
34
2006
Variational \(C^{\infty}\)-symmetries and Euler–Lagrange equations. Zbl 1085.70016
Muriel, C.; Romero, J. L.; Olver, P. J.
25
2006
Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058
Guha, Partha; Olver, Peter J.
17
2006
Applied linear algebra. Zbl 1076.15001
Olver, Peter J.; Shakiban, Chehrzad
8
2006
Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014
Olver, Peter J.; Pohjanpelto, Juha
26
2005
A survey of moving frames. Zbl 1078.53507
Olver, Peter J.
14
2005
Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations. Zbl 1076.37054
Chen, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
8
2005
Regularity of pseudogroup orbits. Zbl 1136.58304
Olver, Peter J.; Pohjanpelto, Juha
2
2005
Connections for general group actions. Zbl 1086.58006
Lewis, Debra; Nigam, Nilima; Olver, Peter J.
1
2005
Computer algebra and geometric algebra with applications. 6th international workshop, IWMM 2004, Shanghai, China, May 19–21, 2004 and international workshop, GIAE 2004, Xian, China, May 24–28, 2004. Revised selected papers. Zbl 1073.68007
1
2005
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
22
2004
Nonlocal symmetries and ghosts. Zbl 1072.35193
Olver, Peter J.
7
2004
Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015
Kogan, Irina A.; Olver, Peter J.
45
2003
Moving frames. Zbl 1076.53017
Olver, Peter J.
8
2003
Mathematical methods in computer vision. Papers presented at the IMA workshops: “Image processing and low level vision”, October 16–20, 2000, and “Image analysis and high level vision”, November 13–17, 2000, Minneapolis, MN, USA. Zbl 1103.68009
1
2003
Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017
Lewis, Debra; Olver, Peter J.
11
2002
Moving frames: a brief survey. Zbl 1076.53018
Olver, Peter J.
45
2001
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
38
2001
Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135
Olver, Peter J.
31
2001
Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010
Olver, Peter J.
12
2001
On formal integrability of evolution equations and local geometry of surfaces. Zbl 1019.37044
Foursov, Mikhail V.; Olver, Peter J.; Reyes, Enrique G.
7
2001
Classification of symmetry-integrable evolution equations. Zbl 0995.35005
Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping
3
2001
Moving frames and coframes. Zbl 1037.53007
Fels, Mark; Olver, Peter J.
2
2001
The invariant variational bicomplex. Zbl 1004.58009
Kogan, Irina A.; Olver, Peter J.
2
2001
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119
Li, Yi A.; Olver, Peter J.
420
2000
Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026
Olver, Peter J.
235
2000
Classification of integrable one-component systems on associative algebras. Zbl 1033.37035
Olver, Peter J.; Wang, Jing Ping
25
2000
Moving frames and singularities of prolonged group actions. Zbl 0966.57037
Olver, Peter J.
21
2000
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
21
2000
Symmetries of polynomials. Zbl 0970.15023
Berchenko, Irina; Olver, Peter J.
14
2000
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
14
2000
Classical invariant theory. Zbl 0971.13004
Olver, Peter J.
212
1999
Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013
Fels, Mark; Olver, Peter J.
200
1999
Non-analytic solutions of nonlinear wave models. Zbl 0940.35176
Li, Yi A.; Olver, Peter J.; Rosenau, Philip
25
1999
Moving frames and joint differential invariants. Zbl 1014.53013
Olver, P. J.
12
1999
Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
10
1999
Differential invariants for parametrized projective surfaces. Zbl 0949.53012
Marí Beffa, Gloria; Olver, Peter J.
4
1999
Solitary waves in the critical surface-tension model. Zbl 0934.76012
Gunney, Brian T. N.; Li, Yi A.; Olver, Peter J.
2
1999
Integrable evolution equations on associative algebras. Zbl 0908.35124
Olver, Peter J.; Sokolov, Vladimir V.
100
1998
Moving coframes. I: A practical algorithm. Zbl 0937.53012
Fels, Mark; Olver, Peter J.
99
1998
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157
Li, Y. A.; Olver, P. J.
39
1998
...and 89 more Documents
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Cited by 5,824 Authors

78 Khalique, Chaudry Masood
78 Olver, Peter John
72 Bruzón, Maria Santos
72 Qu, Changzheng
70 Gandarias Núñez, Maria Luz
69 Kara, Abdul Hamid
52 Popovych, Roman O.
48 Anco, Stephen C.
46 Yin, Zhaoyang
44 Sophocleous, Christodoulos
42 Ma, Wen-Xiu
39 Mahomed, Fazal M.
38 Li, Jibin
37 Liu, Yue
37 Nadjafikhah, Mehdi
34 Gaeta, Giuseppe
34 Liu, Hanze
34 Llibre, Jaume
33 Meleshko, Sergey V.
31 Freire, Igor Leite
31 Leach, Peter Gavin Lawrence
29 Lou, Senyue
28 Özer, Teoman
28 Wang, Gangwei
27 Qiao, Zhijun
27 Tian, Lixin
27 Zhang, Hongqing
26 Gupta, Rajesh Kumar
26 Tian, Shoufu
26 Vulpe, Nicolae I.
26 Wazwaz, Abdul-Majid Abdul-Rahman
26 Winternitz, Pavel
26 Zhang, Zhiyong
25 Muriel, Concepción
24 Bihlo, Alexander
24 Morozov, Oleg I.
24 Wang, Jingping
23 Bluman, George Wallace
23 Cherniha, Roman M.
23 Govinder, Keshlan Sathasiva
23 Himonas, A. Alexandrou
23 Jamal, Sameerah
23 Paliathanasis, Andronikos
22 Biswas, Anjan
22 Gordoa, Pilar Ruiz
22 Hernández-Bermejo, Benito
22 Lai, Shaoyong
22 Pickering, Andrew
22 Xin, Xiangpeng
22 Zhang, Tiantian
20 Cheviakov, Alexei F.
20 Recio, Elena
20 Sergyeyev, Artur
20 Valiquette, Francis
19 Chen, Yong
19 Clarkson, Peter A.
19 Dorodnitsyn, Vladimir A.
19 Grundland, Alfred Michel
19 Guha, Partha
19 Oliveri, Francesco
19 Zaman, Fiazud Din
18 Kamran, Niky
18 Nucci, Maria Clara
18 Shen, Shoufeng
17 Bozhkov, Yuri Dimitrov
17 Fu, Ying
17 Guo, Boling
17 Moitsheki, Raseelo J.
17 Morando, Paola
17 Mustafa, Muhammad Tahir
17 Ruiz, Adrián Tonatiuh
17 Sahadevan, Ramajayam
17 Tracinà, Rita
17 Vaneeva, Olena O.
17 Zhdanov, Renat Z.
16 Anderson, Ian M.
16 Bokhari, Ashfaque H.
16 Kumar, Sachin
16 Lakshmanan, Muthusamy
16 Mansfield, Elizabeth Louise
16 Prykarpatsky, Anatoliy Karolevych
16 Rosa, María
16 Schlomiuk, Dana I.
16 Senthilvelan, Murugaian
16 Yaşar, Emrullah
16 Zhang, Yufeng
15 Azad, Hassan
15 Băleanu, Dumitru I.
15 Dağ, İdris
15 Esen, Oğul
15 Kumar, Mukesh
15 Merker, Joël
15 Naeem, Imran
15 Ndogmo, Jean-Claude
15 Reyes, Enrique G.
15 Vitolo, Raffaele F.
14 Cicogna, Giampaolo
14 Coclite, Giuseppe Maria
14 de Lucas, Javier
14 Ivanov, Rossen I.
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Cited in 618 Serials

342 Journal of Mathematical Physics
231 Applied Mathematics and Computation
217 Journal of Mathematical Analysis and Applications
212 Communications in Nonlinear Science and Numerical Simulation
181 Physics Letters. A
160 Journal of Nonlinear Mathematical Physics
137 Journal of Geometry and Physics
135 Journal of Differential Equations
129 Physica D
125 Chaos, Solitons and Fractals
116 Mathematical Methods in the Applied Sciences
110 Nonlinear Dynamics
82 Theoretical and Mathematical Physics
76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
75 Nonlinear Analysis. Real World Applications
73 Studies in Applied Mathematics
73 Acta Applicandae Mathematicae
72 International Journal of Geometric Methods in Modern Physics
71 Applied Mathematics Letters
70 Journal of Physics A: Mathematical and Theoretical
67 Reports on Mathematical Physics
63 Abstract and Applied Analysis
56 International Journal of Theoretical Physics
56 Journal of Computational and Applied Mathematics
53 Computers & Mathematics with Applications
49 Archive for Rational Mechanics and Analysis
46 Letters in Mathematical Physics
46 Discrete and Continuous Dynamical Systems
43 International Journal of Engineering Science
42 Communications in Mathematical Physics
42 Advances in Mathematical Physics
41 Differential Geometry and its Applications
38 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
37 Journal of Computational Physics
36 Applicable Analysis
35 Annals of Physics
34 Journal of Symbolic Computation
34 Communications in Theoretical Physics
33 Journal of Nonlinear Science
32 Computer Physics Communications
32 Advances in Mathematics
32 Advances in Difference Equations
31 Journal of Elasticity
30 Journal of Mathematical Sciences (New York)
30 Mathematical Problems in Engineering
30 Journal of High Energy Physics
29 Physica A
29 Applied Numerical Mathematics
28 Nuclear Physics. B
28 Journal of Mathematical Imaging and Vision
28 Chinese Journal of Physics (Taipei)
27 Journal of Fluid Mechanics
27 European Journal of Applied Mathematics
27 Journal of Applied Mathematics
27 Waves in Random and Complex Media
26 General Relativity and Gravitation
25 Nonlinearity
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 Mathematics and Computers in Simulation
25 Mathematical and Computer Modelling
24 Acta Mechanica
24 Monatshefte für Mathematik
23 Ukrainian Mathematical Journal
23 Transactions of the American Mathematical Society
23 Discrete and Continuous Dynamical Systems. Series S
22 Journal of Engineering Mathematics
22 Journal of Functional Analysis
22 Qualitative Theory of Dynamical Systems
22 International Journal of Applied and Computational Mathematics
21 Wave Motion
21 Automatica
21 Applied Mathematical Modelling
21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
20 International Journal of Computer Mathematics
19 International Journal of Modern Physics B
19 Applied Mathematics and Mechanics. (English Edition)
19 Lobachevskii Journal of Mathematics
19 Symmetry
18 International Journal of Nonlinear Sciences and Numerical Simulation
18 Computational Methods for Differential Equations
17 Calculus of Variations and Partial Differential Equations
17 Chaos
17 Foundations of Computational Mathematics
16 Quaestiones Mathematicae
16 Linear Algebra and its Applications
16 Regular and Chaotic Dynamics
16 Boundary Value Problems
16 Analysis and Mathematical Physics
15 Proceedings of the American Mathematical Society
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Numerical Methods for Partial Differential Equations
15 Science China. Mathematics
14 Computer Methods in Applied Mechanics and Engineering
14 Acta Mathematicae Applicatae Sinica. English Series
14 The Journal of Geometric Analysis
14 Computational and Applied Mathematics
13 Rocky Mountain Journal of Mathematics
13 Acta Mathematica Sinica. English Series
13 Nonlinear Analysis. Theory, Methods & Applications
12 Modern Physics Letters A
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Cited in 62 Fields

3,683 Partial differential equations (35-XX)
1,546 Dynamical systems and ergodic theory (37-XX)
885 Fluid mechanics (76-XX)
719 Ordinary differential equations (34-XX)
634 Global analysis, analysis on manifolds (58-XX)
518 Mechanics of particles and systems (70-XX)
483 Differential geometry (53-XX)
463 Numerical analysis (65-XX)
355 Quantum theory (81-XX)
327 Mechanics of deformable solids (74-XX)
261 Topological groups, Lie groups (22-XX)
258 Nonassociative rings and algebras (17-XX)
231 Computer science (68-XX)
203 Relativity and gravitational theory (83-XX)
186 Calculus of variations and optimal control; optimization (49-XX)
125 Statistical mechanics, structure of matter (82-XX)
106 Biology and other natural sciences (92-XX)
101 Systems theory; control (93-XX)
92 Algebraic geometry (14-XX)
81 Real functions (26-XX)
79 Difference and functional equations (39-XX)
78 Probability theory and stochastic processes (60-XX)
77 Commutative algebra (13-XX)
77 Optics, electromagnetic theory (78-XX)
75 Special functions (33-XX)
73 Operator theory (47-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
56 Several complex variables and analytic spaces (32-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
50 Functional analysis (46-XX)
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40 Field theory and polynomials (12-XX)
38 Harmonic analysis on Euclidean spaces (42-XX)
38 Information and communication theory, circuits (94-XX)
36 Functions of a complex variable (30-XX)
34 Manifolds and cell complexes (57-XX)
29 Combinatorics (05-XX)
29 Associative rings and algebras (16-XX)
25 Group theory and generalizations (20-XX)
24 Approximations and expansions (41-XX)
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18 Geometry (51-XX)
15 History and biography (01-XX)
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14 General topology (54-XX)
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11 Measure and integration (28-XX)
11 Abstract harmonic analysis (43-XX)
9 Integral transforms, operational calculus (44-XX)
8 Mathematical logic and foundations (03-XX)
7 Category theory; homological algebra (18-XX)
6 Potential theory (31-XX)
6 Convex and discrete geometry (52-XX)
4 \(K\)-theory (19-XX)
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