The adjoint equation method for constructing first integrals of difference equations
| العنوان: | The adjoint equation method for constructing first integrals of difference equations |
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| المؤلفون: | Vladimir Dorodnitsyn, E. I. Kaptsov, Pavel Winternitz, Roman Kozlov |
| المصدر: | Journal of Physics A: Mathematical and Theoretical. 48:055202 |
| بيانات النشر: | IOP Publishing, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Statistics and Probability, Dynamical systems theory, Independent equation, Mathematical analysis, General Physics and Astronomy, Statistical and Nonlinear Physics, Euler equations, symbols.namesake, Nonlinear system, Multigrid method, Simultaneous equations, Modeling and Simulation, Ordinary differential equation, symbols, Mathematical Physics, Mathematics, Numerical partial differential equations |
| الوصف: | A new method for finding first integrals of discrete equations is presented. It can be used for discrete equations which do not possess a variational (Lagrangian or Hamiltonian) formulation. The method is based on a newly established identity which links symmetries of the underlying discrete equations, solutions of the discrete adjoint equations and first integrals. The method is applied to an invariant mapping and to discretizations of second order and third order ordinary differential equations. In examples the set of independent first integrals makes it possible to find the general solution of the discrete equations. |
| تدمد: | 1751-8121 1751-8113 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::794ebd804485960b818f94e710c198ec https://doi.org/10.1088/1751-8113/48/5/055202 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........794ebd804485960b818f94e710c198ec |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17518121 17518113 |
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