The Extensibility of Local Lie Groups of Transformations and Groups on Surfaces

1950 ◽  
Vol 52 (3) ◽  
pp. 606 ◽  
Author(s):  
George Daniel Mostow
Keyword(s):  
Lie Groups ◽  
Lie Groups Of Transformations ◽  
Groups Of Transformations

FINITE DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL EQUATIONS

1994 ◽  
Vol 05 (04) ◽  
pp. 723-734 ◽  
Author(s):  
V.A. DORODNITSYN
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Lie Groups ◽  
Difference Equations ◽  
Discrete Variables ◽  
Continuous Symmetry ◽  
Simple Method ◽  
Finite Difference Equations ◽  
Lie Groups Of Transformations ◽  
Groups Of Transformations

The present paper is concerned with continuous groups of transformations in a space of discrete variables. The criterion of invariance of difference equations together with difference grid is discussed. One simple method to construct finite-difference equations and grids entirely inheriting admitted Lie groups of transformations of initial differential models is developed.

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