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Applicable Analysis
An International Journal
Volume 63, 1996 - Issue 1-2
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Original Articles

Error bounds of discretization methods for boundary integral equations with noisy data

Gottfried Bruckner Institute of Mathematics, Otakaari 1, SF-02150 Espoo, Finland
,
Siegfried Prössdorf Institute of Mathematics, Otakaari 1, SF-02150 Espoo, Finland
&
Gennadi Vainikko Institute of Mathematics, Otakaari 1, SF-02150 Espoo, Finland
Pages 25-37 | Received 01 Mar 1996, Published online: 20 Jan 2011

Citations (14)

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Barbara Kaltenbacher. (2006) Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach. Numerical Functional Analysis and Optimization 27:5-6, pages 637-665.
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Articles from other publishers (13)

Min Zhong, Quoc Thong Le Gia & Ian Hugh Sloan. (2022) A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres. Journal of Scientific Computing 94:1.
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S. H. Solodkyi & E. V. Semenova. (2018) Approximate and Information Aspects of the Numerical Solution of Unstable Integral and Pseudodifferential Equations. Ukrainian Mathematical Journal 70:3, pages 495-512.
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Uno Hämarik & Urve Kangro. 2018. New Trends in Parameter Identification for Mathematical Models. New Trends in Parameter Identification for Mathematical Models 89 105 .
Uno Hämarik, Barbara Kaltenbacher, Urve Kangro & Elena Resmerita. (2016) Regularization by discretization in Banach spaces. Inverse Problems 32:3, pages 035004.
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Hui Cao, Sergei V. Pereverzyev, Ian H. Sloan & Pavlo Tkachenko. (2016) Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Applied Mathematics and Computation 273, pages 993-1005.
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B. Kaltenbacher. (2008) Convergence Rates of a Multilevel Method for the Regularization of Nonlinear Ill-Posed Problems. Journal of Integral Equations and Applications 20:2.
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M. Thamban Nair & Sergei V. Pereverzev. (2007) Regularized collocation method for Fredholm integral equations of the first kind. Journal of Complexity 23:4-6, pages 454-467.
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Gottfried Bruckner & Sergei V Pereverzev. (2003) Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems . Inverse Problems 19:1, pages 147-156.
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Peter Mathé & Sergei V. Pereverzev. (2001) Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods. SIAM Journal on Numerical Analysis 38:6, pages 1999-2021.
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Siegfried Prössdorf & Masahiro Yamamoto. 2001. Problems and Methods in Mathematical Physics. Problems and Methods in Mathematical Physics 426 441 .
Barbara Kaltenbacher. (2000) Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems . Inverse Problems 16:5, pages 1523-1539.
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Sergei V. Pereverzev & Siegfried Prössdorf. (2000) On the Characterization of Self-Regularization Properties of a Fully Discrete Projection Method for Symm's Integral Equation. Journal of Integral Equations and Applications 12:2.
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Gottfried Bruckner & Masahiro Yamamoto. (2000) Determination of point wave sources by pointwise observations: stability and reconstruction. Inverse Problems 16:3, pages 723-748.
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