Exponentially convergent functional-discrete method for eigenvalue transmission problems with a discontinuous flux and the potential as a function in the space \(L_1\)

DOI10.2478/CMAM-2012-0004zbMath1284.65091arXiv1104.1875OpenAlexW2963542643MaRDI QIDQ2442031

Nataliia Rossokhata, Volodymyr L. Makarov, Denis V. Dragunov

Publication date: 31 March 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1875

zbMATH Keywords

parallel algorithmintegrable potentialtransmission conditionsAdomian polynomialsdiscontinuous fluxlinear and nonlinear eigenvalue problemsuperexponentially convergent algorithm

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Complexity and performance of numerical algorithms (65Y20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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