Peter J. Olver - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

105 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Olver PJ. The symmetry groupoid and weighted signature of a geometric object Journal of Lie Theory. 26: 235-267.  1
2015 Kogan IA, Olver PJ. Invariants of objects and their images under surjective maps Lobachevskii Journal of Mathematics. 36: 260-285. DOI: 10.1134/S1995080215030063  1
2015 Kang J, Liu X, Olver PJ, Qu C. Liouville Correspondence Between the Modified KdV Hierarchy and Its Dual Integrable Hierarchy Journal of Nonlinear Science. DOI: 10.1007/s00332-015-9272-7  1
2014 Chen G, Olver PJ. Numerical simulation of nonlinear dispersive quantization Discrete and Continuous Dynamical Systems- Series A. 34: 991-1008. DOI: 10.3934/dcds.2014.34.991  1
2014 Liu Y, Olver PJ, Qu C, Zhang S. On the blow-up of solutions to the integrable modified Camassa-Holm equation Analysis and Applications. 12: 355-368. DOI: 10.1142/S0219530514500274  1
2014 Liu X, Liu Y, Olver PJ, Qu C. Orbital stability of peakons for a generalization of the modified Camassa-Holm equation Nonlinearity. 27: 2297-2319. DOI: 10.1088/0951-7715/27/9/2297  1
2014 Hoff DJ, Olver PJ. Automatic solution of jigsaw puzzles Journal of Mathematical Imaging and Vision. 49: 234-250. DOI: 10.1007/s10851-013-0454-3  1
2013 Chen G, Olver PJ. Dispersion of discontinuous periodic waves Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 469. DOI: 10.1098/rspa.2012.0407  1
2013 Hoff DJ, Olver PJ. Extensions of invariant signatures for object recognition Journal of Mathematical Imaging and Vision. 45: 176-185. DOI: 10.1007/s10851-012-0358-7  1
2013 Gui G, Liu Y, Olver PJ, Qu C. Wave-Breaking and Peakons for a Modified Camassa-Holm Equation Communications in Mathematical Physics. 319: 731-759. DOI: 10.1007/s00220-012-1566-0  1
2012 Brinkman D, Olver PJ. Invariant histograms American Mathematical Monthly. 119: 4-24. DOI: 10.4169/amer.math.monthly.119.01.004  1
2012 Fernandez OE, Bloch AM, Olver PJ. Variational integrators for hamiltonizable nonholonomic systems Journal of Geometric Mechanics. 4: 137-163. DOI: 10.3934/jgm.2012.4.137  1
2012 Olver PJ, Pohjanpelto J. Persistence of freeness for Lie pseudogroup actions Arkiv For Matematik. 50: 165-182. DOI: 10.1007/s11512-010-0133-1  1
2011 Bozhkov Y, Olver PJ. Pohozhaev and morawetz identities in elastostatics and elastodynamics Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 7. DOI: 10.3842/SIGMA.2011.055  1
2011 Itskov V, Olver PJ, Valiquette F. Lie completion of pseudo-groups Transformation Groups. 16: 161-173. DOI: 10.1007/s00031-010-9118-1  1
2011 Olver PJ. Recursive Moving Frames Results in Mathematics. 60: 423-452. DOI: 10.1007/s00025-011-0153-6  1
2010 Olver PJ. Dispersive quantization American Mathematical Monthly. 117: 599-610. DOI: 10.4169/000298910X496723  1
2010 Olver PJ. Moving frames and differential invariants in centro-affine geometry Lobachevskii Journal of Mathematics. 31: 77-89. DOI: 10.1134/S1995080210020010  1
2010 Beffa GM, Olver PJ. Poisson structures for geometric curve flows in semi-simple homogeneous spaces Regular and Chaotic Dynamics. 15: 532-550. DOI: 10.1134/S156035471004009X  1
2009 Olver PJ, Pohjanpelto J, Valiquette F. On the structure of lie pseudo-groups Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 5. DOI: 10.3842/SIGMA.2009.077  1
2009 Olver PJ. Differential invariants of surfaces Differential Geometry and Its Application. 27: 230-239. DOI: 10.1016/j.difgeo.2008.06.020  1
2009 Olver PJ, Pohjanpelto J. Differential invariant algebras of Lie pseudo-groups Advances in Mathematics. 222: 1746-1792. DOI: 10.1016/j.aim.2009.06.016  1
2009 Olver PJ. Differential invariants of Maximally symmetric submanifolds Journal of Lie Theory. 19: 79-99.  1
2008 Olver PJ. Invariant submanifold flows Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/34/344017  1
2008 Cheh J, Olver PJ, Pohjanpelto J. Algorithms for differential invariants of symmetry groups of differential equations Foundations of Computational Mathematics. 8: 501-532. DOI: 10.1007/s10208-005-0206-x  1
2008 Olver PJ, Pohjanpelto J. Moving frames for lie pseudo-groups Canadian Journal of Mathematics. 60: 1336-1386.  1
2007 Hubert E, Olver PJ. Differential invariants of conformal and projective surfaces Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 3. DOI: 10.3842/SIGMA.2007.097  1
2007 Olver PJ. Generating differential invariants Journal of Mathematical Analysis and Applications. 333: 450-471. DOI: 10.1016/j.jmaa.2006.12.029  1
2007 Olver PJ, Petitot M, Solé P. Generalized transvectants and Siegel modular forms Advances in Applied Mathematics. 38: 404-418. DOI: 10.1016/j.aam.2005.11.001  1
2007 Welk M, Kim P, Olver PJ. Numerical invariantization for morphological PDE schemes Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4485: 508-519.  1
2006 Guha P, Olver PJ. Geodesic flow and two (super) component analog of the camassa-holm equation Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 2. DOI: 10.3842/SIGMA.2006.054  1
2006 Olver PJ. On multivariate interpolation Studies in Applied Mathematics. 116: 201-240. DOI: 10.1111/j.1467-9590.2006.00335.x  1
2006 Muriel C, Romero JL, Olver PJ. Variational C∞-symmetries and Euler-Lagrange equations Journal of Differential Equations. 222: 164-184. DOI: 10.1016/j.jde.2005.01.012  1
2005 Lewis D, Nigam N, Olver PJ. Connections for general group actions Communications in Contemporary Mathematics. 7: 341-374. DOI: 10.1142/S0219199705001787  1
2005 Cheh J, Olver PJ, Pohjanpelto J. Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations Journal of Mathematical Physics. 46. DOI: 10.1063/1.1836015  1
2005 Olver PJ, Pohjanpelto J. Maurer-Cartan forms and the structure of Lie pseudo-groups Selecta Mathematica, New Series. 11: 99-126. DOI: 10.1007/s00029-005-0008-7  1
2005 Olver PJ. A survey of moving frames Lecture Notes in Computer Science. 3519: 105-138.  1
2004 Kim P, Olver PJ. Geometric integration via multi-space Regular and Chaotic Dynamics. 9: 213-226. DOI: 10.1070/RD2004v009n03ABEH000277  1
2003 Kogan IA, Olver PJ. Invariant Euler - Lagrange equations and the invariant variational bicomplex Acta Applicandae Mathematicae. 76: 137-193. DOI: 10.1023/A:1022993616247  1
2002 Olver PJ, Sanders JA, Wang JP. Ghost symmetries Journal of Nonlinear Mathematical Physics. 9: 164-172. DOI: 10.2991/jnmp.2002.9.s1.14  1
2002 Lewis D, Olver PJ. Geometric Integration Algorithms on Homogeneous Manifolds Foundations of Computational Mathematics. 2: 363-392. DOI: 10.1007/s102080010028  1
2002 Olver PJ. Computational aspects of moving frames Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac 1
2001 Foursov MV, Olver PJ, Reyes EG. On formal integrability of evolution equations and local geometry of surfaces Differential Geometry and Its Application. 15: 183-199. DOI: 10.1016/S0926-2245(01)00052-3  1
2001 Olver PJ. Joint Invariant Signatures Foundations of Computational Mathematics. 1: 3-67. DOI: 10.1007/s10208001001  1
2001 Olver PJ. Geometric foundations of numerical algorithms and symmetry Applicable Algebra in Engineering, Communications and Computing. 11: 417-436. DOI: 10.1007/s002000000053  1
2000 Li YA, Olver PJ. Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation Journal of Differential Equations. 162: 27-63. DOI: 10.1006/jdeq.1999.3683  1
2000 Olver PJ. Moving frames and singularities of prolonged group actions Selecta Mathematica, New Series. 6: 41-77.  1
2000 Olver PJ, Wang JP. Classification of integrable one-component systems on associative algebras Proceedings of the London Mathematical Society. 81: 566-586.  1
2000 Olver PJ, Sanders JA. Transvectants, modular forms, and the Heisenberg algebra Advances in Applied Mathematics. 25: 252-283.  1
2000 Kamran N, Milson R, Olver PJ. Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems Advances in Mathematics. 156: 286-319.  1
1999 Olver PJ. Moving frames and joint differential invariants Regular and Chaotic Dynamics. 4: 3-18. DOI: 10.1016/S0747-7171(03)00092-0  1
1999 Fels M, Olver PJ. Moving Coframes: II. Regularization and Theoretical Foundations Acta Applicandae Mathematicae. 55: 127-208.  1
1999 Beffa GM, Olver PJ. Differential invariants for parametrized projective surfaces Communications in Analysis and Geometry. 7: 807-839.  1
1999 Olver PJ, Sapiro G, Tannenbaum A. Affine invariant detection: Edge maps, anisotropic diffusion, and active contours Acta Applicandae Mathematicae. 59: 45-77.  1
1999 Gunney BTN, Li YIA, Olver PJ. Solitary waves in the critical surface-tension model Journal of Engineering Mathematics. 36: 99-112.  1
1998 Li YA, Olver PJ. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system: II. Complex analytic behavior and convergence to non-analytic solutions Discrete and Continuous Dynamical Systems. 4: 159-191.  1
1998 Fels M, Olver PJ. Moving Coframes: I. A Practical Algorithm Acta Applicandae Mathematicae. 51: 161-213.  1
1998 Olver PJ, Sokolov VV. Integrable evolution equations on associative algebras Communications in Mathematical Physics. 193: 245-268.  1
1998 Olver PJ, Sokolov VV. Non-abelian integrable systems of the derivative nonlinear Schrödinger type Inverse Problems. 14.  1
1998 Calabi E, Olver PJ, Shakiban C, Tannenbaum A, Haker S. Differential and Numerically Invariant Signature Curves Applied to Object Recognition International Journal of Computer Vision. 26: 107-135.  1
1997 Fels M, Olver PJ. On relative invariants Mathematische Annalen. 308: 701-732.  1
1997 Li YA, Olver PJ. Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I. Compactons and peakons Discrete and Continuous Dynamical Systems. 3: 419-432.  1
1997 Olver PJ, Sapiro G, Tannenbaum A. Invariant geometric evolutions of surfaces and volumetric smoothing Siam Journal On Applied Mathematics. 57: 176-194.  1
1996 Olver PJ, Rosenau P. Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 53: 1900-1906. PMID 9964452  1
1996 Heredero RH, Olver PJ. Classification of invariant wave equations Journal of Mathematical Physics. 37: 6414-6438. DOI: 10.1063/1.531785  1
1996 Clarkson PA, Olver PJ. Symmetry and the Chazy equation Journal of Differential Equations. 124: 225-246. DOI: 10.1006/jdeq.1996.0008  1
1996 Calabi E, Olver PJ, Tannenbaum A. Affine geometry, curve flows, and invariant numerical approximations Advances in Mathematics. 124: 154-196. DOI: 10.1006/aima.1996.0081  1
1996 Olver PJ. Non-associative local Lie groups Journal of Lie Theory. 6: 23-51.  1
1994 González-López A, Kamran N, Olver PJ. New quasi-exactly solvable Hamiltonians in two dimensions Communications in Mathematical Physics. 159: 503-537. DOI: 10.1007/BF02099982  1
1993 González-López A, Kamran N, Olver PJ. Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators Communications in Mathematical Physics. 153: 117-146. DOI: 10.1007/BF02099042  1
1993 Olver PJ. Equivalence and the Cartan form Acta Applicandae Mathematicae. 31: 99-136. DOI: 10.1007/BF00990539  1
1993 Anderson IM, Kamran N, Olver PJ. Internal, External, and Generalized Symmetries Advances in Mathematics. 100: 53-100. DOI: 10.1006/aima.1993.1029  1
1992 Olver PJ, Shakiban C. Dissipative decomposition of partial differential equations Rocky Mountain Journal of Mathematics. 22: 1483-1510. DOI: 10.1216/rmjm/1181072669  1
1992 Kamran N, Olver PJ. Equivalence of higher-order lagrangians: III. new invariant differential equations Nonlinearity. 5: 601-621. DOI: 10.1088/0951-7715/5/2/014  1
1992 Olver PJ. Symmetry and explicit solutions of partial differential equations Applied Numerical Mathematics. 10: 307-324. DOI: 10.1016/0168-9274(92)90047-H  1
1992 Maliakas M, Olver PJ. Explicit generalized Pieri maps Journal of Algebra. 148: 68-85. DOI: 10.1016/0021-8693(92)90237-G  1
1991 Gonzalez-Lopez A, Kamran N, Olver PJ. Quasi-exactly solvable Lie algebras of differential operators in two complex variables Journal of Physics a: Mathematical and General. 24: 3995-4008. DOI: 10.1088/0305-4470/24/17/016  1
1990 Olver PJ. Canonical forms and integrability of bi-Hamiltonian systems Physics Letters A. 148: 177-187. DOI: 10.1016/0375-9601(90)90775-J  1
1990 Kamran N, Olver PJ. Lie algebras of differential operators and Lie-algebraic potentials Journal of Mathematical Analysis and Applications. 145: 342-356. DOI: 10.1016/0022-247X(90)90404-4  1
1990 Olver PJ. Classical invariant theory and the equivalence problem for particle Lagrangians. I. Binary forms Advances in Mathematics. 80: 39-77. DOI: 10.1016/0001-8708(90)90014-E  1
1990 Kaup DJ, Olver PJ. Quantization of bi-Hamiltonian systems Journal of Mathematical Physics. 31: 113-117.  1
1989 Kamran N, Olver PJ. Equivalence problems for first order Lagrangians on the line Journal of Differential Equations. 80: 32-78. DOI: 10.1016/0022-0396(89)90095-8  1
1989 Olver PJ, Shakiban C. Graph theory and classical invariant theory Advances in Mathematics. 75: 212-245. DOI: 10.1016/0001-8708(89)90038-8  1
1989 Hsu L, Kamran N, Olver PJ. Equivalence of higher-order Lagrangians. II. The Cartan form for particle Lagrangians Journal of Mathematical Physics. 30: 902-906.  1
1989 Arik M, Neyzi F, Nutku Y, Olver PJ, Verosky JM. Multi-Hamiltonian structure of the Born-Infeld equation Journal of Mathematical Physics. 30: 1338-1344.  1
1988 Olver PJ, Sivaloganathan J. The structure of null Lagrangians Nonlinearity. 1: 389-398. DOI: 10.1088/0951-7715/1/2/005  1
1988 Olver PJ. Unidirectionalization of hamiltonian waves Physics Letters A. 126: 501-506. DOI: 10.1016/0375-9601(88)90047-3  1
1988 Olver PJ. The equivalence problem and canonical forms for quadratic Lagrangians Advances in Applied Mathematics. 9: 226-257. DOI: 10.1016/0196-8858(88)90015-2  1
1988 Olver PJ. Darboux' theorem for Hamiltonian differential operators Journal of Differential Equations. 71: 10-33. DOI: 10.1016/0022-0396(88)90036-8  1
1988 Olver PJ. Errata Archive For Rational Mechanics and Analysis. 102: 385-387. DOI: 10.1007/BF00251537  1
1988 Olver PJ. Conservation laws in elasticity. III. Planar linear anisotropic elastostatics Archive For Rational Mechanics and Analysis. 102: 167-181. DOI: 10.1007/BF00251497  1
1988 Olver PJ. Canonical elastic moduli Journal of Elasticity. 19: 189-212. DOI: 10.1007/BF00045616  1
1988 Olver PJ, Nutku Y. Hamiltonian structures for systems of hyperbolic conservation laws Journal of Mathematical Physics. 29: 1610-1618.  1
1986 Olver PJ, Rosenau P. The construction of special solutions to partial differential equations Physics Letters A. 114: 107-112. DOI: 10.1016/0375-9601(86)90534-7  1
1986 Olver PJ. Dirac's theory of constraints in field theory and the canonical form of Hamiltonian differential operators Journal of Mathematical Physics. 27: 2495-2501.  1
1985 Olver PJ. SYMMETRY GROUPS AND PATH-INDEPENDENT INTEGRALS . 57-71.  1
1984 Olver PJ. Conservation laws in elasticity - II. Linear homogeneous isotropic elastostatics Archive For Rational Mechanics and Analysis. 85: 131-160. DOI: 10.1007/BF00281448  1
1984 Olver PJ. Conservation laws in elasticity - I. General results Archive For Rational Mechanics and Analysis. 85: 111-129. DOI: 10.1007/BF00281447  1
1983 Olver PJ. Conservation laws of free boundary problems and the classification of conservation laws for water waves Transactions of the American Mathematical Society. 277: 353-380. DOI: 10.1090/S0002-9947-1983-0690057-X  1
1982 Benjamin TB, Olver PJ. Hamiltonian structure, symmetries and conservation laws for water waves Journal of Fluid Mechanics. 125: 137-185. DOI: 10.1017/S0022112082003292  1
1982 Olver PJ. A nonlinear Hamiltonian structure for the Euler equations Journal of Mathematical Analysis and Applications. 89: 233-250. DOI: 10.1016/0022-247X(82)90100-7  1
1981 Ball JM, Currie JC, Olver PJ. Null Lagrangians, weak continuity, and variational problems of arbitrary order Journal of Functional Analysis. 41: 135-174. DOI: 10.1016/0022-1236(81)90085-9  1
1980 Olver PJ. On the Hamiltonian structure of evolution equations Mathematical Proceedings of the Cambridge Philosophical Society. 88: 71-88. DOI: 10.1017/S0305004100057364  1
1978 Olver PJ, Shakiban C. A resolution of the euler operator. I Proceedings of the American Mathematical Society. 69: 223-229. DOI: 10.1090/S0002-9939-1978-0486822-8  1
1976 Olver PJ. Evolution equations possessing infinitely many symmetries Journal of Mathematical Physics. 18: 1212-1215.  1
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