Volume 23 Issue 1 | Journal of Integral Equations and Applications

Journal of Integral Equations and Applications

VOL. 23 · NO. 1 | SPRING 2011

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Front Matter

Table of Contents, Journal of Integral Equations and Applications, vol. 23, no. 1, (2011)

J. Integral Equations Applications 23 (1), (SPRING 2011) Open Access

No abstract available

Articles

Inequalities of the Markov type for partial derivatives of polynomials in several variables

Albrecht Böttcher, Peter Dörfler

J. Integral Equations Applications 23 (1), 1-37, (SPRING 2011) DOI: 10.1216/JIE-2011-23-1-1 Open Access

KEYWORDS: Markov inequality, orthogonal polynomials, Volterra integral operators, partial differential operator, polynomials of several variables, 41A10, 15A18‎, 26D10, 35P15, 41A63, 45D05

No abstract available

Fast multilevel augmentation methods with compression technique for solving ill-posed integral equations

Zhongying Chen, Sirui Cheng, Hongqi Yang

J. Integral Equations Applications 23 (1), 39-70, (SPRING 2011) DOI: 10.1216/JIE-2011-23-1-39 Open Access

KEYWORDS: Ill-posed integral equations, multilevel augmentation methods, compression technique, Galerkin methods, Lavrentiev regularization, a posterioriparameter choice strategy, 65J10, 65R20

No abstract available

Integral equations for conical diffraction by coated grating

G. Schmidt

J. Integral Equations Applications 23 (1), 71-112, (SPRING 2011) DOI: 10.1216/JIE-2011-23-1-71 Open Access

No abstract available

Autoconvolution equations of the third kind with Abel integral

Lothar Von Wolfersdorf

J. Integral Equations Applications 23 (1), 113-136, (SPRING 2011) DOI: 10.1216/JIE-2011-23-1-113 Open Access

KEYWORDS: Quadratic integral equations, autoconvolution equations, Abel type integral equations, 45G10, 45D05, 45E10, 45M05

No abstract available

Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation

Haizhang Zhang, Qinghui Zhang

J. Integral Equations Applications 23 (1), 137-156, (SPRING 2011) DOI: 10.1216/JIE-2011-23-1-137 Open Access

KEYWORDS: Volterra integral equations, projection methods, Lossless Compression, numerical differentiation, refinable vector fields, wavelet bases on invariant sets, 45D05, 45E10, 65D25

No abstract available

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