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SUMMARY:Rational interpolation/approximation and integrability
DTSTART;VALUE=DATE-TIME:20230623T074500Z
DTEND;VALUE=DATE-TIME:20230623T081500Z
DTSTAMP;VALUE=DATE-TIME:20260524T123635Z
UID:indico-contribution-2@cern.ch
DESCRIPTION:Speakers: Prof. DOLIWA\, Adam (University of Warmia and Mazury
 )\nIt is well known that the rational (or Padé) approximants are closely 
 related with the discrete-time Toda equation. The structural connection wi
 th orthogonal polynomials provides a link between the theory of integrable
  systems and various classical results of applied mathematics and numerica
 l analysis. Inspired by recent advances on symmetry and integrability of d
 ifference equations I would like to disuss several generalizations of the 
 relation (some of them already known):\n\n* the role of Hirota's discrete 
 KP system\;\n* non-commutative versions of the classical results\;\n* appr
 oximation as a confluent limit of the interpolation.\n\n[1] A. Doliwa\, A.
  Siemaszko\, Integrability and geometry of the Wynn recurrence\, Numer. Al
 gorithms doi: 10.1007/s11075-022-01344-5\n\n[2] A. Doliwa\, A. Siemaszko\,
  Hermite-Padé approximation and integrability\, arXiv:2201.06829\n\n[3] A
 . Doliwa\, Non-commutative Hermite-Padé approximation and integrability\,
  Lett. Math. Phys. 112 68 (2022) doi: 10.1007/s11005-022-01560-z\n\n[4] A.
  Doliwa\, Non-autonomous multidimensional Toda system and multiple interpo
 lation problem\, J. Phys. A: Math. Theor. 55 (2022) 505202 (17 pp.) doi: 1
 0.1088/1751-8121/acad4d\n\nhttp://indico.fuw.edu.pl/contributionDisplay.py
 ?contribId=2&sessionId=6&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=2&sessionId=
 6&confId=67
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