Abstract
The numerical approach for study of the 3D-nonlinear problem for the spherically-nonsymmetric polaron is considered. An expansions in spherical harmonics are used for the approximation of the solution. The iterative Newton's scheme with an additional parametrization of the initial equation for the solving of the nonlinear problem is proposed. The results of numerical modelling are discussed. The comparison of the obtained eigenvalues with the known ones confirms the efficiency of the elaborated algorithms.
This investigation has been supported by the Russian Foundation for Fundamental Research, grant N 94-01-01119.
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© 1997 Springer-Verlag Berlin Heidelberg
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Akishin, P.G., Puzynin, I.V., Smirnov, Y.S. (1997). The Newtonian continuation method for numerical study of 3D polaron problem. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_72
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DOI: https://doi.org/10.1007/3-540-62598-4_72
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