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Journal of Nonlinear Mathematical Physics Volume 15, 2008 - Issue sup3: Nonlinear Evolution Equations and Dynamical Systems 2007
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Original Articles

Symmetry Preserving Discretization of SL(2,ℝ) Invariant Equations

Anne Bourlioux Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, H3C 3J7, Québec, Canada E-mail: [email protected]
,
Raphaël Rebelo Centre de recherches mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, H3C 3J7, Québec, Canada E-mail: [email protected]; Département de Physique, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, H3C 3J7, Québec, Canada E-mail: [email protected]
&
Pavel Winternitz Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, H3C 3J7, Québec, Canada E-mail: [email protected]; Centre de recherches mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal, H3C 3J7, Québec, Canada E-mail: [email protected]
Pages 362-372 | Published online: 21 Jan 2013

Citations (15)

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Raphaël Rebelo & Francis Valiquette. (2015) Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups. Journal of Difference Equations and Applications 21:4, pages 285-318.
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Raphaël Rebelo & Francis Valiquette. (2013) Symmetry preserving numerical schemes for partial differential equations and their numerical tests. Journal of Difference Equations and Applications 19:5, pages 738-757.
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Articles from other publishers (13)

Vladimir Dorodnitsyn & Evgeniy Kaptsov. (2022) Invariant Finite-Difference Schemes for Plane One-Dimensional MHD Flows That Preserve Conservation Laws. Mathematics 10:8, pages 1250.
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Lili Xia, Mengmeng Wu & Xinsheng Ge. (2021) Symmetry Preserving Discretization of the Hamiltonian Systems with Holonomic Constraints. Mathematics 9:22, pages 2959.
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A. F. Cheviakov, V. A. Dorodnitsyn & E. I. Kaptsov. (2020) Invariant conservation law-preserving discretizations of linear and nonlinear wave equations. Journal of Mathematical Physics 61:8.
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Alexander Bihlo & Francis Valiquette. (2019) Symmetry-Preserving Finite Element Schemes: An Introductory Investigation. SIAM Journal on Scientific Computing 41:5, pages A3300-A3325.
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Robert Thompson & Francis Valiquette. (2018) Group foliation of finite difference equations. Communications in Nonlinear Science and Numerical Simulation 59, pages 235-254.
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Alexander Bihlo & Francis Valiquette. 2017. Symmetries and Integrability of Difference Equations. Symmetries and Integrability of Difference Equations 261 324 .
V Dorodnitsyn, E Kaptsov, R Kozlov & P Winternitz. (2015) The adjoint equation method for constructing first integrals of difference equations. Journal of Physics A: Mathematical and Theoretical 48:5, pages 055202.
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Alexander Bihlo, Xavier Coiteux-Roy & Pavel Winternitz. (2015) The Korteweg?de Vries equation and its symmetry-preserving discretization. Journal of Physics A: Mathematical and Theoretical 48:5, pages 055201.
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D Levi, L Martina & P Winternitz. (2015) Lie-point symmetries of the discrete Liouville equation. Journal of Physics A: Mathematical and Theoretical 48:2, pages 025204.
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Christian Scimiterna, Mike Hay & Decio Levi. (2014) On the integrability of a new lattice equation found by multiple scale analysis. Journal of Physics A: Mathematical and Theoretical 47:26, pages 265204.
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Decio Levi & Miguel A Rodríguez. (2013) Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice. Journal of Physics A: Mathematical and Theoretical 46:29, pages 295203.
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Pavel Winternitz. 2011. Symmetries and Integrability of Difference Equations. Symmetries and Integrability of Difference Equations 292 341 .
R Rebelo & P Winternitz. (2009) Invariant difference schemes and their application to sl(2\hbox{,}\, \mathbb {R}) invariant ordinary differential equations. Journal of Physics A: Mathematical and Theoretical 42:45, pages 454016.
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