Where does smoothness count the most for Fredholm equations of the second kind with noisy information?

DOI10.1016/S0885-064X(03)00030-XzbMath1090.65153OpenAlexW1976537103MaRDI QIDQ1887113

Arthur G. Werschulz

Publication date: 23 November 2004

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0885-064x(03)00030-x

zbMATH Keywords

ComplexityFredholm equationOptimal algorithmsMultigrid methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (8)

The complexity of Fredholm equations of the second kind: noisy information about everything ⋮ Tractability of the Fredholm problem of the second kind ⋮ What is the complexity of periodic weakly singular integral equations? ⋮ Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels ⋮ Fast solvers of integral equations of the second kind: wavelet methods ⋮ FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND ⋮ A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind ⋮ Fast solvers of integral equations of the second kind: quadrature methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational properties of averaged equations for periodic media
• Deterministic and stochastic error bounds in numerical analysis
• Integral equations. Theory and numerical treatment
• Information complexity of multivariate Fredholm integral equations in Sobolev classes
• Where does smoothness count the most for two-point boundary-value problems?
• Worst case complexity of problems with random information noise
• The worst case complexity of the fredholm equation of the second kind with non-periodic free term and noise information
• Equivalent Norms for Sobolev Spaces

This page was built for publication: Where does smoothness count the most for Fredholm equations of the second kind with noisy information?