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Found 918 Documents (Results 1–100)

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On regularization of the solution of integral equations of the first kind using quadrature formulas. (English. Russian original) Zbl 07485532

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 361-365 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 593-599 (2021).
MSC:  65Rxx 65-XX 65Fxx
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On the test Volterra equations of the first kind in the integral models of developing systems. (English. Russian original) Zbl 1397.65312

Autom. Remote Control 79, No. 4, 604-616 (2018); translation from Avtom. Telemekh. 2018, No. 4, 31-45 (2018).
MSC:  65R20 45D05
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On estimating the error of an approximate solution caused by the discretization of an integral equation of the first kind. (English. Russian original) Zbl 1405.65178

Proc. Steklov Inst. Math. 299, Suppl. 1, S217-S224 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 263-270 (2016).
MSC:  65R20 45B05 65R30
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On the existence of mosaic-skeleton approximations for discrete analogues of integral operators. (English. Russian original) Zbl 1381.65095

Comput. Math. Math. Phys. 57, No. 9, 1404-1415 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1421-1432 (2017).
MSC:  65N38 65F10 35J05
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Solution of the deconvolution problem in the general statement. (English. Russian original) Zbl 1381.65103

Proc. Steklov Inst. Math. 297, Suppl. 1, S211-S222 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 79-90 (2016).
MSC:  65R30 45D05 65R20
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Introduction to inverse problems for differential equations. (English) Zbl 1385.65053

Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017).
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A numerical solution of one class of Volterra integral equations of the first kind in terms of the machine arithmetic features. (English) Zbl 1352.65656

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Linear inverse problems and Tikhonov regularization. (English) Zbl 1367.65085

The Carus Mathematical Monographs 32. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-141-8/hbk; 978-1-61444-029-1/ebook). xiii, 321 p. (2016).
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An approximate solution of a Fredholm integral equation of the first kind by the residual method. (Russian, English) Zbl 1349.65722

Sib. Zh. Vychisl. Mat. 19, No. 1, 97-105 (2016); translation in Numer. Analysis Appl. 9, No. 1, 74-81 (2016).
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Methods of identifying a parameter in the kernel of the equation of first kind of the convolution type on the class of functions with discontinuities. (Russian, English) Zbl 1340.65313

Sib. Zh. Vychisl. Mat. 18, No. 2, 107-120 (2015); translation in Numer. Analysis Appl. 8, No. 2, 89-100 (2015).
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Constructive method for solving a boundary value problem for ordinary differential equations. (English. Russian original) Zbl 1322.34032

Differ. Equ. 51, No. 2, 149-162 (2015); translation from Differ. Uravn. 51, No. 2, 147-160 (2015).
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Inverse Problems. Basics, theory and applied examples. (Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele.) (German) Zbl 1331.65083

Mathematik im Fokus. Heidelberg: Springer Spektrum (ISBN 978-3-662-45810-5/pbk; 978-3-662-45811-2/ebook). ix, 128 p. (2015).
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The contact problem when there are friction forces in the contact area for a three-component cylindrical base. (English. Russian original) Zbl 1432.74159

J. Appl. Math. Mech. 78, No. 2, 181-186 (2014); translation from Prikl. Mat. Mekh. 78, No. 2, 262-269 (2013).
MSC:  74M10 74M15 65R20
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Functions orthogonal to polynomials and their application in axially symmetric problems in physics. (English. Russian original) Zbl 1311.42062

Theor. Math. Phys. 179, No. 2, 574-587 (2014); translation from Teor. Mat. Fiz. 179, No. 2, 225-241 (2014).
MSC:  42C05 45B05
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A class of linear integral equations of the first kind with two independent variables. (English) Zbl 1297.45001

Dokl. Math. 89, No. 1, 98-102 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 518-522 (2014).
MSC:  45A05
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Polynomial Volterra integral equations of the first kind and the Lambert function. (English. Russian original) Zbl 1287.45001

Proc. Steklov Inst. Math. 280, Suppl. 1, S26-S38 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 69-81 (2012).
MSC:  45D05 45M10
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A posteriori error estimates for Fredholm integral equations of the first kind. (English) Zbl 1278.65198

Beilina, Larisa (ed.), Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2–3, 2011. New York, NY: Springer (ISBN 978-1-4614-7815-7/hbk; 978-1-4614-7816-4/ebook). Springer Proceedings in Mathematics & Statistics 48, 75-93 (2013).
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Theoretical and numerical study of iteratively truncated Newton’s algorithm. (English) Zbl 1279.65073

Beilina, Larisa (ed.), Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2–3, 2011. New York, NY: Springer (ISBN 978-1-4614-7815-7/hbk; 978-1-4614-7816-4/ebook). Springer Proceedings in Mathematics & Statistics 48, 1-14 (2013).
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On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent. (English) Zbl 1278.45003

Math. Notes 93, No. 4, 583-592 (2013); translation from Mat. Zametki 93, No. 4, 575-585 (2013).
MSC:  45E10
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Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels. (English. Russian original) Zbl 1268.45003

Russ. Math. 57, No. 1, 54-63 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 1, 62-72 (2013).
MSC:  45F05 45D05 45M05
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A quasi Monte Carlo method for large-scale inverse problems. (English) Zbl 1271.65008

Plaskota, Leszek (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2010. Selected papers based on the presentations at the 9th international conference on Monte Carlo and quasi Monte Carlo in scientific computing (MCQMC 2010), Warsaw, Poland, August 15–20, 2010. Berlin: Springer (ISBN 978-3-642-27439-8/hbk; 978-3-642-27440-4/ebook). Springer Proceedings in Mathematics & Statistics 23, 623-637 (2012).
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Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in Hölder space \(C^a ([a, b])\). (Russian, English) Zbl 1274.65333

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 4, 696-696 (2012); translation in Comput. Math. Math. Phys. 52, No. 4, 601-614 (2012).
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On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals. (Russian, English) Zbl 1274.45009

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 8, 1363-1372 (2012); translation in Comput. Math. Math. Phys. 52, No. 8, 1079-1088 (2012).
MSC:  45H05
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On the optimal control of linear systems with linear performance criterion and constraints. (English. Russian original) Zbl 1252.49002

Differ. Equ. 48, No. 6, 832-844 (2012); translation from Differ. Uravn. 48, No. 6, 826-838 (2012).
MSC:  49J15 49M30 65K10
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