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Home > Journals > J. Integral Equations Applications > Volume 22 > Issue 3
Journal of Integral Equations and Applications
Second special issue dedicated to Charles W. Groetsch
VOL. 22 · NO. 3 | FALL 2010
 
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Front Matter
Table of Contents, Journal of Integral Equations, vol. 22, no. 3, (2010)
J. Integral Equations Applications 22 (3), (FALL 2010) Open Access
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Articles
Introduction: Dedication to Charles W. Groetsch
Kendall Atkinson, Paul Martin
J. Integral Equations Applications 22 (3), 353, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-353 Open Access
No abstract available
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Derivative spectroscopy An enhanced role for numerical differentiation
R.S. Anderssen, M. Hegland
J. Integral Equations Applications 22 (3), 355-367, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-355 Open Access
No abstract available
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An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
Radu Ioan Boţ, Bernd Hofmann
J. Integral Equations Applications 22 (3), 369-392, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-369 Open Access
KEYWORDS: Ill-posed problems, Tikhonov regularization, Convergence rates, variational inequalities, source conditions, Distance function, structure of nonlinearity, generalized Young inequality, 47J06, 65J20, 47A52, 49N45
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Local regularization of nonlinear Volterra equations of Hammerstein type
Cara D. Brooks, Patricia K. Lamm, Xiaoyue Luo
J. Integral Equations Applications 22 (3), 393-425, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-393 Open Access
No abstract available
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Kernel perturbations for Volterra convolution integral equations
F.R. De Hoog, R.S. Anderssen
J. Integral Equations Applications 22 (3), 427-441, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-427 Open Access
No abstract available
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An integro-differential equation model for the spread of alcohol abuse
Donald A. French, Zeynep Teymuroglu, Timothy J. Lewis, Richard J. Braun
J. Integral Equations Applications 22 (3), 443-464, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-443 Open Access
KEYWORDS: Spread of alcohol abuse or integral equations
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An iterative method for Tikhonov regularization with a general linear regularization operator
Michiel E. Hochstenbach, Lothar Reichel
J. Integral Equations Applications 22 (3), 465-482, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-465 Open Access
KEYWORDS: Discrete ill-posed problem, iterative method, Tikhonov regularization, general linear regularization operator, discrepancy principle, 65R30, 65R32, 65F10, 65F22
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On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales
S. Lu, S.V. Pereverzev, Y. Shao, U. Tautenhahn
J. Integral Equations Applications 22 (3), 483-517, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-483 Open Access
KEYWORDS: Ill-posed problems, Inverse problems, noisy right hand side, noisy operator, Tikhonov regularization, Hilbert scales, generalized discrepancy principle, order optimal error bounds, Newton's method, global convergence, monotone convergence, 47A52, 65F22, 65J20, 65M30
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Robust GCV choice of the regularization parameter for correlated data
Mark A. Lukas
J. Integral Equations Applications 22 (3), 519-547, (FALL 2010) DOI: 10.1216/JIE-2010-22-3-519 Open Access
KEYWORDS: 65J20, 65J22, 45Q05, 62G08
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