Computational Methods in Applied Mathematics
Editor-in-Chief: Carstensen, Carsten
Managing Editor: Matus, Piotr
4 Issues per year
IMPACT FACTOR 2016: 1.097
CiteScore 2016: 1.09
SCImago Journal Rank (SJR) 2016: 0.872
Source Normalized Impact per Paper (SNIP) 2016: 0.887
Mathematical Citation Quotient (MCQ) 2016: 0.75
We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh–Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space. In contrast to the classical theory, the approximation error of eigenfunctions other than the given one does not enter into these estimates. The estimates are based on a bound for the norm of a certain projection operator, e.g., in finite element methods for second order eigenvalue problems, the H1-norm of the L2-projection onto the finite element space.
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