A critique of numerical analysis

DOI10.1090/S0273-0979-1988-15682-0zbMath0658.65052OpenAlexW1986274216MaRDI QIDQ3806689

Peter Linz

Publication date: 1988

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1988-15682-0

zbMATH Keywords

convergence analysisdiscretization errorsnumerical methodologynumerical pragmatics

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02)

Related Items

Finite element analysis in professional practice, Norms of powers of the Volterra operator, Computing eigenvalues of singular Sturm-Liouville problems, Computational benefit of smoothness: parameterized bit-complexity of numerical operators on analytic functions and Gevrey's hierarchy, A QUANTITATIVE VERSION OF A THEOREM DUE TO BORWEIN-REICH-SHAFRIR, \({\mathcal L}\)-convergence paradox in numerical methods for PDEs

Uses Software

• ELLPACK

Cites Work

• Unnamed Item
• Uncertainty in the solution of linear operator equations
• On the efficiency of algorithms of analysis
• Precise bounds for inverses of integral equation operators
• A‐posteriori error estimates for the finite element method