The average case complexity of the Fredholm equation of second kind with free term in \(H^ r(\Gamma)\)

DOI10.1007/BF00052192zbMath0858.65130OpenAlexW2083728414MaRDI QIDQ1917153

Tianzi Jiang

Publication date: 11 March 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052192

zbMATH Keywords

Galerkin methodFredholm integral equation of the second kindperiodic Sobolev spaceaverage problem complexity

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

The worst case complexity of the fredholm equation of the second kind with non-periodic free term and noise information ⋮ The worst case complexity of the fredholm equation with periodic free term and noisy information^∗

Cites Work

• Information-based complexity: New questions for mathematicians
• Probabilistic complexity analysis for linear problems in bounded domains
• Probabilistic analysis of numerical methods for integral equations
• Gaussian measures in Banach spaces
• Linear integral equations
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