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Funktsional'nyi Analiz i ego Prilozheniya, 1991, Volume 25, Issue 2, Pages 38–49 (Mi faa858)  

This article is cited in 25 scientific papers (total in 26 papers)

Integrable Lagrangian correspondences and the factorization of matrix polynomials

A. P. Veselov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Received: 29.04.1990
English version:
Functional Analysis and Its Applications, 1991, Volume 25, Issue 2, Pages 112–122
DOI: https://doi.org/10.1007/BF01079590
Bibliographic databases:
Document Type: Article
UDC: 517.93+513.015
Language: Russian
Citation: A. P. Veselov, “Integrable Lagrangian correspondences and the factorization of matrix polynomials”, Funktsional. Anal. i Prilozhen., 25:2 (1991), 38–49; Funct. Anal. Appl., 25:2 (1991), 112–122
Citation in format AMSBIB
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\by A.~P.~Veselov
\paper Integrable Lagrangian correspondences and the factorization of matrix polynomials
\jour Funktsional. Anal. i Prilozhen.
\yr 1991
\vol 25
\issue 2
\pages 38--49
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\zmath{https://zbmath.org/?q=an:0731.58034}
\transl
\jour Funct. Anal. Appl.
\yr 1991
\vol 25
\issue 2
\pages 112--122
\crossref{https://doi.org/10.1007/BF01079590}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GT02600004}
Linking options:
  • https://www.mathnet.ru/eng/faa858
  • https://www.mathnet.ru/eng/faa/v25/i2/p38
  • This publication is cited in the following 26 articles:
    1. Mamoru Gunji, Yusuke Ono, Linyu Peng, IUTAM Bookseries, 43, Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales, 2025, 88  crossref
    2. Odysseas Kosmas, Pieter Boom, Andrey P. Jivkov, “On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions”, Applied Sciences, 11:17 (2021), 7837  crossref
    3. A. F. Cheviakov, V. A. Dorodnitsyn, E. I. Kaptsov, “Invariant conservation law-preserving discretizations of linear and nonlinear wave equations”, Journal of Mathematical Physics, 61:8 (2020)  crossref
    4. Harsh Sharma, Mayuresh Patil, Craig Woolsey, “A review of structure-preserving numerical methods for engineering applications”, Computer Methods in Applied Mechanics and Engineering, 366 (2020), 113067  crossref
    5. Michael Kraus, “Variational integrators for inertial magnetohydrodynamics”, Physics of Plasmas, 25:8 (2018)  crossref
    6. François Gay-Balmaz, Hiroaki Yoshimura, “Variational discretization of the nonequilibrium thermodynamics of simple systems”, Nonlinearity, 31:4 (2018), 1673  crossref
    7. V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. Michael Kraus, Emanuele Tassi, Daniela Grasso, “Variational integrators for reduced magnetohydrodynamics”, Journal of Computational Physics, 321 (2016), 435  crossref
    9. Michael Kraus, Omar Maj, “Variational integrators for nonvariational partial differential equations”, Physica D: Nonlinear Phenomena, 310 (2015), 37  crossref
    10. Abenda S., Grinevich P.G., “Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations”, J Geom Phys, 60:10 (2010), 1617–1633  crossref  isi
    11. Anton Dzhamay, “Factorizations of rational matrix functions with application to discrete isomonodromic transformations and difference Painlevé equations”, J. Phys. A: Math. Theor., 42:45 (2009), 454008  crossref
    12. Mark Gates, Karel Matouš, Michael T. Heath, “Asynchronous multi‐domain variational integrators for non‐linear problems”, Numerical Meth Engineering, 76:9 (2008), 1353  crossref
    13. Jing-Bo Chen, “Variational integrators and the finite element method”, Applied Mathematics and Computation, 196:2 (2008), 941  crossref
    14. Zhen, L, “Symplectic and multisymplectic schemes with the simple finite element method”, Physics Letters A, 314:5–6 (2003), 443  crossref  mathscinet  zmath  adsnasa  isi
    15. Jing-Bo Chen, Han-Ying Guo, Ke Wu, “Total variation in Hamiltonian formalism and symplectic-energy integrators”, Journal of Mathematical Physics, 44:4 (2003), 1688  crossref
    16. M.de León, D.Martín de Diego, “Variational integrators and time-dependent lagrangian systems”, Reports on Mathematical Physics, 49:2-3 (2002), 183  crossref
    17. Yu. N. Fedorov, “An Ellipsoidal Billiard with a Quadratic Potential”, Funct. Anal. Appl., 35:3 (2001), 199–208  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. Hernán Cendra, Jerrold E. Marsden, Tudor S. Ratiu, Mathematics Unlimited — 2001 and Beyond, 2001, 221  crossref
    19. V. M. Adukov, “Factorization of analytic matrix-valued functions”, Theoret. and Math. Phys., 118:3 (1999), 255–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    20. C. Kane, J. E. Marsden, M. Ortiz, “Symplectic-energy-momentum preserving variational integrators”, Journal of Mathematical Physics, 40:7 (1999), 3353  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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