Add to ORKGAn integration technique for difference schemes possessing Lie point symmetries is proposed. The method consists of determining an invariant Lagrangian and using a discrete version of Noether’s theorem to obtain first integrals. This lowers the order of the invariant difference scheme.
AbstractA method for solving the inverse variational problem for differential equations admitting a ...
We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associat...
Abstract. A method for solving the inverse variational problem for di®er-ential equations admitting ...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
Abstract: A review of earlier publications referenced in an introduction of the paper is p...
A method is presented for finding the Lie point symmetry transformations acting simultaneously on di...
The main aim of this thesis is to describe the program Deltasym. It is a Maple program that is desig...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
We give an elementary exposition of a method to obtain the infinitesimal point symmetries of Lagrang...
A method is presented for calculating the Lie point symmetries of a scalar difference equation on a ...
We present an algorithm for determining the Lie point symmetries of dif-ferential equations on fixed...
Different symmetry formalisms for difference equations on lattices are reviewed and applied to perfo...
AbstractA method for solving the inverse variational problem for differential equations admitting a ...
We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associat...
Abstract. A method for solving the inverse variational problem for di®er-ential equations admitting ...
This paper describes a new symmetry-based approach to solving a given ordinary difference equation. ...
Abstract: A review of earlier publications referenced in an introduction of the paper is p...
A method is presented for finding the Lie point symmetry transformations acting simultaneously on di...
The main aim of this thesis is to describe the program Deltasym. It is a Maple program that is desig...
Intended for researchers, numerical analysts, and graduate students in various fields of applied mat...
The methods of Lie group analysis of differential equations are generalized so as to provide an infi...
The theory of prolongations of the generators of groups of point transformations to the grid point v...
We apply two of the methods previously introduced to find discrete symmetries of differential equati...
We give an elementary exposition of a method to obtain the infinitesimal point symmetries of Lagrang...
A method is presented for calculating the Lie point symmetries of a scalar difference equation on a ...
We present an algorithm for determining the Lie point symmetries of dif-ferential equations on fixed...
Different symmetry formalisms for difference equations on lattices are reviewed and applied to perfo...
AbstractA method for solving the inverse variational problem for differential equations admitting a ...
We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associat...
Abstract. A method for solving the inverse variational problem for di®er-ential equations admitting ...