Diskrete Approximation von Eigenwertproblemen. III: Asymptotische Entwicklungen

DOI10.1007/BF01419530zbMath0391.65022OpenAlexW2914886588MaRDI QIDQ1251460

Rolf Dieter Grigorieff

Publication date: 1975

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132362

zbMATH Keywords

Asymptotical DevelopmentsEigenvalue Problems

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (10)

Resolvent Estimates for Boundary Value Problems on Large Intervals Via the Theory of Discrete Approximations ⋮ ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES] ⋮ Unnamed Item ⋮ On the discrete approximation of eigenvalue problems with holomorphic parameter dependence ⋮ Approximative methods for nonlinear equations (two approaches to the convergence problem) ⋮ Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise ⋮ A General Approximation Scheme for Attractors of Abstract Parabolic Problems ⋮ Eigenvalue bounds for elliptic operators ⋮ Regular convergence of operators and approximate solution of equations ⋮ Finite elements for the eigenvalue problem of differential operators in unbounded intervals

Cites Work

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• Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung
• Numerical treatment of ordinary differential equations by extrapolation methods
• Asymptotic upper and lower bounds for results of extrapolation methods
• Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
• On improving an approximate solution of a functional equation by deferred corrections
• Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Some recent applications of asymptotic error expansions to finite-difference schemes
• Survey of Extrapolation Processes in Numerical Analysis
• A comparative study of computer programs for integrating differential equations
• Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations
• The numerical solution of non-singular linear integral equations

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