Annual Report 2003
In cooperation with the scientists from the Technical University of Kosice, the Slovak Republic, and the Laboratory of Computational and Statistical Physics of Academia Sinica, Taiwan, research in the mathematical modelling of proteins folding was continued:
In cooperation with the Technical University of Aachen, Germany, the original involutive algorithms designed at LIT for constructing involutive bases were implemented in the form of Maple packages "Involutive" and "Janet" . These packages are destined for computing Janet bases for polynomial systems and for systems of partial differential equations, respectively.
By using the above-mentioned program complex  and in cooperation with the Nuclear Physics Institute, the Czech Republic, a new type of exact solvability of the Schr oedinger equation in a large spatial dimension and for central polynomial potential was found. This is because the solvability of Schr oedinger equation under the conditions indicated is reduced to solvability of the overdetermined system of nonlinear algebraic equations (Magyari equations) .
© Laboratory of Information Technologies, JINR, Dubna, 2004