On the discrete approximation of eigenvalue problems with holomorphic parameter dependence

DOI10.1017/S0308210500009768zbMath0383.65038MaRDI QIDQ4164278

Wolfgang L. Wendland, Hansgeorg Jeggle

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (8)

Numerical analysis of Fokas' unified method for linear elliptic PDEs ⋮ Three‐dimensional singularities of elastic fields near vertices ⋮ Nonlinear eigenvalue approximation ⋮ Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities ⋮ Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes ⋮ Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility ⋮ Boundary layers of hierarchical beam and plate models ⋮ Hybrid coupled finite-boundary element methods for elliptic systems of second order

Cites Work

• Unnamed Item
• Unnamed Item
• Diskrete Approximation von Eigenwertproblemen. III: Asymptotische Entwicklungen
• Elliptische Differenzenoperatoren unter Dirichlet-Randbedingungen
• Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren
• Nonlinear eigenvalue problems
• Meromorphic families of compact operators
• Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen
• Meromorphie in der Theorie der Fredholmoperatoren mit Anwendungen auf elliptische Differentialoperatoren
• Diskrete Konvergenz linearer Operatoren. I
• Diskrete Konvergenz linearer Operatoren. II
• Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit
• Transformationseigenschaften endlicher Ketten und allgemeine Verzweigungsaussagen.
• Uber die fredholm-alternative bei linearen approximationsregularen operatoren
• Asymptotic error estimates for the approximate eigenvalues of holomorphic fredholm operator functions

This page was built for publication: On the discrete approximation of eigenvalue problems with holomorphic parameter dependence