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The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006A MATHEMATICA package for finding Lie symmetries of
partial differential equations is presented. The package is designed to create
and solve the associated determining system of equations, the full set of
solutions of which generates the widest permissible local Lie group of point
symmetry transformations. Examples illustrating the functionality of the
package's tools...
An nonlinear elliptic system for generating adaptive quadrilateral meshes in curved domains is presented. The presented technique has
been implemented in the C++ language with the help of the standard template library. The software package writes the converged meshes in the GMV
and the Matlab formats. Grid generation is the first very important step
for numerically solving partial differential equations. Thus, the presented
C++ grid generator is extremely important to the computational science
community....
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