Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators
arXiv:1207.27135 citationsh-index: 28
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Provides a new numerical method for solving spectral problems in inhomogeneous media, relevant to applied mathematics and physics.
The paper reviews recent advances in Sturm-Liouville theory related to transmutation operators and spectral parameter power series, and proposes a new numerical method for solving spectral problems in inhomogeneous media.
We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems.