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

[1] Symmetry Preserving Discretization of SL(2,ℝ) Invariant Equations
Anne Bourlioux
Raphaël Rebelo
Pavel Winternitz
Journal of Nonlinear Mathematical Physics, 2008, 15 : 362 - 372
[2] Invariant difference schemes and their application to sl(2, R) invariant ordinary differential equations
Rebelo, R.
Winternitz, P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (45)
[3] Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Campoamor-Stursberg, R.
Rodriguez, M. A.
Winternitz, P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (03)
[4] Conformally Invariant Elliptic Liouville Equation and Its Symmetry-Preserving Discretization
D. Levi
L. Martina
P. Winternitz
Theoretical and Mathematical Physics, 2018, 196 : 1307 - 1319
[5] CONFORMALLY INVARIANT ELLIPTIC LIOUVILLE EQUATION AND ITS SYMMETRY-PRESERVING DISCRETIZATION
Levi, D.
Martina, L.
Winternitz, P.
THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 196 (03) : 1307 - 1319
[6] Hidden SL(2,R) symmetry for time-dependent Schrodinger equations
Okubo, S
GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 577 - 580
[7] Invariant generalized functions on sl(2,R) with values in a sl(2,R)-module
Lavaud, P
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 219 (01) : 226 - 244
[8] Symmetry-preserving discretization for DNS
Verstappen, R. W. C. P.
Droge, M. T.
Veldman, A. E. P.
Direct and Large-Eddy Simulation V, Proceedings, 2004, 9 : 135 - 146
[9] Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids
Trias, F. X.
Lehmkuhl, O.
Oliva, A.
Perez-Segarra, C. D.
Verstappen, R. W. C. P.
JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 258 : 246 - 267
[10] Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups
Rebelo, Raphael
Valiquette, Francis
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2015, 21 (04) : 285 - 318

← 1 2 3 4 5 →