Applying Wavelet Transforms as a Solution for Convolution Type Equations

Συγγραφείς: Lukianenko, Vladimir A.^Aff5

Συνεισφορές: Karapetyants, Alexey N., editor^Aff1, Kravchenko, Vladislav V., editor^Aff2, Liflyand, Elijah, editor^Aff3, Malonek, Helmuth R., editor^Aff4

Πηγή: Operator Theory and Harmonic Analysis : OTHA 2020, Part I – New General Trends and Advances of the Theory. 357:369-391

Development of a numerical method for solving optimization problems approximation of the function given approximately and its derivatives based on the variational approach

Συγγραφείς: Igor Naats, Victoria Igorevna Naats, Elena Yartseva

Πηγή: Наука. Инновации. Технологии, Vol 0, Iss 4, Pp 7-20 (2022)

Θεματικοί όροι: аппроксимация функции, обобщенные полиномы, регуляризиру-ющие алгоритмы, сингулярные интегралы, вычислительный процесс, задачи прикладного анализа, function approximation, generalized polynomials, regularizing algorithms, singular integrals, computational process, applied analysis problems, Geography (General), G1-922

Περιγραφή αρχείου: electronic resource

Relation: https://scienceit.elpub.ru/jour/article/view/167; https://doaj.org/toc/2308-4758

Σύνδεσμος πρόσβασης: https://doaj.org/article/acff0ba85eb74b2587c17814d8c8024f

METHODS OF APPROXIMATION OF FUNCTIONS BY GENERALIZED POLYNOMIALS IN NUMERICAL ANALYSIS PROBLEMS RELATED TO CALCULATIONS ON APPROXIMATE DATA

Συγγραφείς: Igor Eduardovich Naats, Victoria Igorevna Naats, Elena Pavlovna Yartseva

Πηγή: Наука. Инновации. Технологии, Vol 0, Iss 3, Pp 53-64 (2022)

Θεματικοί όροι: аппроксимация функции, обобщенные полиномы, регуляризирующие алгоритмы, сингулярные интегралы, вычислительный процесс, задачи прикладного анализа, function approximation, generalized polynomials, regularizing algorithms, singular integrals, computational process, applied analysis problems, Geography (General), G1-922

Περιγραφή αρχείου: electronic resource

Relation: https://scienceit.elpub.ru/jour/article/view/181; https://doaj.org/toc/2308-4758

Σύνδεσμος πρόσβασης: https://doaj.org/article/f7707fb9030c4f0cbe301e70553bf2b7

Implicit Iterative Schemes Based on Augmented Linear Systems

Συγγραφείς: Zhdanov, A. I.^{Aff1, IDS106456242202020X_cor1}

Πηγή: Doklady Mathematics. 105(2):131-134

Extra-Optimal Methods for Solving Ill-Posed Problems: Survey of Theory and Examples

Συγγραφείς: Leonov, A. S.^{Aff1, IDS0965542520060068_cor1}

Πηγή: Computational Mathematics and Mathematical Physics. 60(6):960-986

Effective Algorithms for Computing Global and Local Posterior Error Estimates of Solutions to Linear Ill-Posed Problems

Συγγραφείς: Leonov, A. S.^{Aff1, IDS1066369X20020048_cor1}

Πηγή: Russian Mathematics. 64(2):26-34

Methods for Solving Ill-Posed Extremum Problems with Optimal and Extra-Optimal Properties

Συγγραφείς: Leonov, A. S.^{Aff1, cor1}

Πηγή: Mathematical Notes. 105(3-4):385-397

A New Algorithm for a Posteriori Error Estimation for Approximate Solutions of Linear Ill-Posed Problems

Συγγραφείς: Leonov, A. S.^{Aff1, cor1}

Πηγή: Computational Mathematics and Mathematical Physics. 59(2):193-200

Inverse problems in identification and modeling of thermal processes: Russian contributions

Συγγραφείς: Alifanov, Oleg M.

Πηγή: International Journal of Numerical Methods for Heat & Fluid Flow, 2017, Vol. 27, Issue 3, pp. 711-728.

Σύνδεσμος πρόσβασης: http://www.emeraldinsight.com/doi/10.1108/HFF-03-2016-0099

Application of Two-Parameter Stabilizing Functions in Solving a Convolution-Type Integral Equation by Regularization Method

Συγγραφείς: Maslakov, M. L.^{Aff1, cor1}

Πηγή: Computational Mathematics and Mathematical Physics. 58(4):529-536

Error Estimation in Ill-Posed Problems in Special Cases

Συγγραφείς: Yagola, Anatoly G.^Aff2, Korolev, Yury M.^Aff2

Συνεισφορές: Beilina, Larisa, editor^Aff1

Πηγή: Applied Inverse Problems : Select Contributions from the First Annual Workshop on Inverse Problems. 48:155-164

Regularizing algorithms with optimal and extra-optimal quality

Συγγραφείς: Leonov, A. S.

Πηγή: Numerical Analysis and Applications. October 2016 9(4):288-298

Regularizing algorithms for detecting discontinuities in ill-posed problems

Συγγραφείς: T. V. Antonova, A. L. Ageev

Πηγή: Computational Mathematics and Mathematical Physics. 48:1284-1292

Θεματικοί όροι: Linear operators and ill-posed problems, regularization, noisy function, 0102 computer and information sciences, 0101 mathematics, singularities, regularizing algorithms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1134/S0965542508080034
https://ui.adsabs.harvard.edu/abs/2008CMMPh..48.1284A/abstract

Efficient algorithms for the regularization of dynamic inverse problems: I. Theory: Efficient algorithms for the regularization of dynamic inverse problems. I: Theory

Συγγραφείς: Alfred K. Louis, Uwe Schmitt

Πηγή: Inverse Problems. 18:645-658

Θεματικοί όροι: Hilbert spaces, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, inverse problems, dynamic inverse problem, measuring process, static inverse problem, Numerical solution to inverse problems in abstract spaces, Tikhonov Phillips method, 02 engineering and technology, regularizing algorithms, 01 natural sciences, linear operator equations, Numerical solutions to equations with linear operators, projection methods, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Equations and inequalities involving linear operators, with vector unknowns

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1787294
https://doi.org/10.1088/0266-5611/18/3/308
http://ui.adsabs.harvard.edu/abs/2002InvPr..18..645S/abstract
http://iopscience.iop.org/article/10.1088/0266-5611/18/3/308/pdf

Efficient algorithms for the regularization of dynamic inverse problems: II. Applications: Efficient algorithms for the regularization of dynamic inverse problems. II: Applications

Συγγραφείς: Schmitt, U., Louis, A., Wolters, C., Vauhkonen, M.

Πηγή: Inverse Problems

Θεματικοί όροι: Biomedical imaging and signal processing, Numerical solutions of ill-posed problems in abstract spaces, regularization, Linear operators and ill-posed problems, regularization, inverse problems, electrical impedance problem, Numerical solution to inverse problems in abstract spaces, regularizing algorithms, 01 natural sciences, dynamic inverse problems, density reconstruction, ill-posed problems, computational methods, 03 medical and health sciences, 0302 clinical medicine, Numerical solutions to equations with linear operators, statistical methods, Inverse problems (including inverse scattering) in optics and electromagnetic theory, computerized tomography, 0101 mathematics, Kalman filters, Equations and inequalities involving linear operators, with vector unknowns

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://pure.mpg.de/pubman/item/item_721912_5/component/file_721911/schmitt.pdf
https://zbmath.org/1787295
https://doi.org/10.1088/0266-5611/18/3/309
https://pure.mpg.de/pubman/item/item_721912_5/component/file_721911/schmitt.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_721912
http://pubman.mpdl.mpg.de/pubman/item/escidoc:721912
http://ui.adsabs.harvard.edu/abs/2002InvPr..18..659S/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/18/3/309
https://core.ac.uk/display/45689193
http://hdl.handle.net/11858/00-001M-0000-0010-AF20-9
http://hdl.handle.net/11858/00-001M-0000-0010-AF21-7

On an algorithm for dynamic reconstruction in systems with delay in control

Συγγραφείς: Blizorukova, M.

Πηγή: IFIP Advances in Information and Communication Technology

Θεματικοί όροι: DYNAMIC RECONSTRUCTION, METHOD OF AUXILIARY MODELS, AUXILIARY MODELS, COMPUTATIONAL ERROR, IN-CONTROL, REGULARIZING ALGORITHMS, SYSTEMS WITH DELAYS, UNKNOWN INPUTS, VECTOR EQUATION, ALGORITHMS, OPTIMIZATION, NONLINEAR EQUATIONS

Περιγραφή αρχείου: application/pdf

Relation: http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=84874503461; http://elar.urfu.ru/handle/10995/75267; 84874503461

Διαθεσιμότητα: http://elar.urfu.ru/handle/10995/75267
https://link.springer.com/content/pdf/10.1007%2F978-3-642-36062-6_23.pdf
http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=84874503461
https://doi.org/10.1007/978-3-642-36062-6_23

A posteriori accuracy estimations of solutions to ill-posed inverse problems and extra-optimal regularizing algorithms for their solution

Συγγραφείς: Leonov, A. S.

Πηγή: Numerical Analysis and Applications. January 2012 5(1):68-83

Regularizing properties of explicit approximating splines

Συγγραφείς: A. I. Grebennikov

Πηγή: Computational Mathematics and Modeling. 1:132-136

Θεματικοί όροι: Spline approximation, polynomial splines, 0101 mathematics, regularizing algorithms, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2FBF01129054

Regularizing algorithms for localization of breakpoints of noisy functions

Συγγραφείς: Antonova, T. V.

Πηγή: Proceedings of the Steklov Institute of Mathematics. September 2009 266(1):24-39

On the total-variation convergence of regularizing algorithms for ill-posed problems

Συγγραφείς: Leonov, A. S.

Πηγή: Computational Mathematics and Mathematical Physics. May 2007 47(5):732-747