Exponentially convergent parallel algorithm for nonlinear eigenvalue problems

DOI10.1093/imanum/drl042zbMath1130.65078OpenAlexW2017739665MaRDI QIDQ5436492

N. O. Rossokhata, Alexey Klimenko, Ivan P. Gavrilyuk, Volodymyr L. Makarov

Publication date: 16 January 2008

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drl042

zbMATH Keywords

numerical examplesnonlinear eigenvalue problemparallel algorithmAdomian decomposition methodexponential convergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlinear ordinary differential operators (34L30) 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)

Related Items (6)

Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives ⋮ FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions ⋮ An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function ⋮ The FD-method for solving Sturm-Liouville problems with special singular differential operator ⋮ Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations ⋮ Resonant equations with classical orthogonal polynomials. I

Uses Software

• SLEDGE

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