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

被引：17

作者：

Bourlioux, Anne ^{[1
]}

Rebelo, Raphael ^{[2
,3
]}

Winternitz, Pavel ^{[1
,2
]}

机构：

[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[3] Univ Montreal, Dept Phys, Montreal, PQ H3C 3J7, Canada

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / Suppl 3期

关键词：

D O I：

10.2991/jnmp.2008.15.s3.35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear ODEs invariant under the group SL(2,R) are solved numerically. We show that solution methods incorporating the Lie point symmetries provide better results than standard methods.

引用

页码：362 / 372

页数：11

共 50 条

[21] Symmetry-preserving discretization of turbulent channel flow
Verstappen, RWCP
Veldman, AEP
HIGH PERFORMANCE SCIENTIFIC AND ENGINEERING COMPUTING, 2002, 21 : 107 - 114
[22] On superintegrable systems in E2:: Algebraic properties and symmetry preserving discretization
Tempesta, P
SUPERINTEGRABILITY IN CLASSICAL AND QUANTUM SYSTEMS, 2004, 37 : 223 - 239
[23] Symmetry Preserving Discretization of the Hamiltonian Systems with Holonomic Constraints
Xia, Lili
Wu, Mengmeng
Ge, Xinsheng
MATHEMATICS, 2021, 9 (22)
[24] An ansatz for sl2-invariant R-matrices
Bytsko A.G.
Journal of Mathematical Sciences, 2007, 143 (1) : 2754 - 2764
[25] HAMILTONIAN ANALYSIS OF SL(2,R) SYMMETRY IN LIOUVILLE THEORY
BLAGOJEVIC, M
VASILIC, M
VUKASINAC, T
CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (05) : 1155 - 1175
[26] Classification of left-invariant Einstein metrics on SL(2, R) x SL(2, R) that are bi-invariant under a one-parameter subgroup
Cortes, Vicente
Ehlert, Jeremias
Haupt, Alexander S.
Lindemann, David
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 63 (02)
[27] INVARIANT AND STATIONARY MEASURES FOR THE SL(2, R) ACTION ON MODULI SPACE
Eskin, Alex
Mirzakhani, Maryam
PUBLICATIONS MATHEMATIQUES DE L IHES, 2018, 127 (01): : 95 - 324
[28] Symplectic and isometric SL(2, R)-invariant subbundles of the Hodge bundle
Avila, Artur
Eskin, Alex
Moeller, Martin
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2017, 732 : 1 - 20
[29] A symmetry and Noether charge preserving discretization of initial value problems
Rothkopf, Alexander
Nordstrom, Jan
JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 498
[30] On naturally reductive left-invariant metrics of SL(2, R)
Halverscheid, Stefan
Iannuzzi, Andrea
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2006, 5 (02) : 171 - 187

← 1 2 3 4 5 →