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IMathSoft

The project "FD-Method For Solving PDEs" contains the software for solving the nonlinear Klein-Gordon equations (see www.arxiv.org/abs/1203.5979 for more detail). The project "Infinite systems of matrix equations" consists in developing algorithms and software for solving systems of matrix equations. In the present version the project allows one to solve an infinite system of matrix equations which arises in the theory of stability preserving structural transformations of systems of second-order ODEs (see http://arxiv.org/abs/1204.1814). The project "Nonlinear Stourm-Liouville Problems with Distribution Potentials" is developed for solving nonlinear Sturm-Liouville problems with integrable potentials including Dirac delta function. The numerical-analytical method used in the project is called the FD-method. It was first proposed by Professor V.L.Makarov in 1991.To learn more about the problems of such type and the FD-method see, for example, http://arxiv.org/abs/1112.2540.

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The project "FD-Method For Solving PDEs" contains the software for solving the nonlinear Klein-Gordon equations (see [www.arxiv.org/abs/1203.5979](https://www.arxiv.org/abs/1203.5979) for more detail).

The project "Infinite systems of matrix equations" consists in developing algorithms and software for solving systems of matrix equations. In the present version the project allows one to solve an infinite system of matrix equations which arises in the theory of stability preserving structural transformations of systems of second-order ODEs (see [http://arxiv.org/abs/1204.1814](http://arxiv.org/abs/1204.1814)))

The project "Nonlinear Stourm-Liouville Problems with Distribution Potentials" is developed for solving nonlinear Sturm-Liouville problems with integrable potentials including Dirac delta function. The numerical-analytical method used in the project is called the FD-method. It was first proposed by Professor V.L.Makarov in 1991.To learn more about the problems of such type and the FD-method see, for example, [http://arxiv.org/abs/1112.2540](http://arxiv.org/abs/1112.2540))

Screenshots

FD-Goursat: The FD-method

Nonlinear Stourm-Liouville Problems with   Distribution Potentials: ready to work

FD-Goursat: The 0-th FD-approximation of the solution.

Nonlinear Stourm-Liouville Problems with   Distribution Potentials: the third eigenvalue has been calculated

FD-Goursat: The fixed point iteration method

FD-Goursat:description of the problem