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Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials

100%

Efremova L. , Freiling G.

Open Mathematics

2013

tom 11

nr 11

2044-2051

We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.

Numerical solution of the Maxwell equations in time-varying media using Magnus expansion

100%

Faragó I. , Havasi Á. , Horváth R.

Open Mathematics

2012

tom 10

nr 1

137-149

For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.

Numerical modeling of heat and mass transfer in cylindrical ducts

63%

Duda P. , Mazurkiewicz G.