On the approximate investigation of a point transformation of a plane into a plane

1969 ◽  
Vol 12 (3) ◽  
pp. 339-344
Author(s):  
V. I. Goryunov
Keyword(s):  
Point Transformation ◽  
Approximate Investigation

Cascaded Filtering Using the Sigma Point Transformation

2021 ◽  
pp. 1-1
Author(s):  
Mohammed Shalaby ◽  
Charles Champagne Cossette ◽  
Jerome Le Ny ◽  
James Richard Forbes
Keyword(s):  
Point Transformation ◽  
Sigma Point

scholarly journals On the existence of projective affine motion in a $W$-recurrent Finsler space

2000 ◽  
Vol 31 (1) ◽  
pp. 71-78
Author(s):  
A. Kumar ◽  
H. S. Shulka ◽  
R. P. Tripathi
Keyword(s):  
Finsler Space ◽  
Point Transformation ◽  
Affine Motion

The paper is devoted to study the properties of a $W$-$R$ $F_n$ space admitting an infinitesimal point transformation $\overline x^i=x^i+v^i(x)dt$ which satisfies the condition $L_v\lambda_s=0$.

scholarly journals Some Remarks on the Solution of Linearisable Second-Order Ordinary Differential Equations via Point Transformations

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Winter Sinkala
Keyword(s):  
General Solution ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Lie Group ◽  
Second Order ◽  
Point Transformation ◽  
Group Method ◽  
Lie Group Method ◽  
Generic Solution ◽  
Point Transformations

Transformations of differential equations to other equivalent equations play a central role in many routines for solving intricate equations. A class of differential equations that are particularly amenable to solution techniques based on such transformations is the class of linearisable second-order ordinary differential equations (ODEs). There are various characterisations of such ODEs. We exploit a particular characterisation and the expanded Lie group method to construct a generic solution for all linearisable second-order ODEs. The general solution of any given equation from this class is then easily obtainable from the generic solution through a point transformation constructed using only two suitably chosen symmetries of the equation. We illustrate the approach with three examples.

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