Titlebook: Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band; Workshop in Oberwolf J. Albrecht,L. C

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Spectral Analysis of Non-Selfadjoint Operators of Mathematical Physics,lliptic operators. It is shown that these operators have in the right-hand side halfplane of the transform parameter discrete regular spectrum and eigenelements form a complete set biorthonormal with eigenelements of the adjoint operator which are complex conjugate. Finally finite element solution i

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Progress on Estimation of Energy Levels for Multi-Electron Atoms,thod is used to produce a central field approximation whose energy levels are lower bounds to those of the full Hamiltonian. In contrast to previous calculations with the effective field method, the lower bound Hamiltonian given here is explicitly resolvable, rather than only numerically solvable. T

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allergy

Eigenvector Estimates and Application to Some Problems of Structural Engineering,ctical importance. This paper presents the complete proof of new error estimates which are based on an original technique due to G. Fichera. In the seismic analysis of structures a number of natural frequencies and associated vibration modes are computed by means of a Rayleigh — Ritz, finite element

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Allowance

Efficient Branch Switching in Systems of Nonlinear Equations,imation of a solution on an emanating branch. The second step yields the accurate approximation by solving a special equation with certain selectivity properties. The procedure is very efficient because neither the exact location of the bifurcation point nor directions of branches need to be calcula

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An Error Bound for Eigenvalue Analysis by Nodal Condensation,terization of the eigenvalues of the exactly condensed (nonlinear) eigenvalue problem to estimate the errors of the eigenvalues of the reduced (linear) problem. The eigenvalue approximations can be improved considerably by the use of the Rayleigh functional of the nonlinear problem.

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Spectral Analysis of Non-Selfadjoint Operators of Mathematical Physics,lliptic operators. It is shown that these operators have in the right-hand side halfplane of the transform parameter discrete regular spectrum and eigenelements form a complete set biorthonormal with eigenelements of the adjoint operator which are complex conjugate. Finally finite element solution is proposed.