## Found 918 Documents (Results 1–100)

100
MathJax

### 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
Full Text:

Full Text:

Full Text:

### On the Volterra factorization of the Wiener-Hopf integral operator. (English. Russian original)Zbl 1475.45004

Math. Notes 110, No. 2, 161-166 (2021); translation from Mat. Zametki 110, No. 2, 163-169 (2021).
MSC:  45E10 45P05 47A68
Full Text:

### Approximate solution of some nonlinear classes of Abel integral equations using hybrid expansion. (English)Zbl 1471.65223

MSC:  65R20 45E10
Full Text:

### Direct operational vector scheme for first-kind nonlinear Volterra integral equations and its convergence analysis. (English)Zbl 1461.65264

MSC:  65R20 45D05 45G10
Full Text:

MSC:  65R30
Full Text:

### Control of accuracy of Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method. (English)Zbl 1463.65432

MSC:  65R20 45D05 45E10
Full Text:

### Solving the Fredholm integral equation of the first kind by the complementarity method. (Chinese. English summary)Zbl 1463.65417

MSC:  65R20 45B05

### Integral equations of curvilinear convolution type with hypergeometric function in a kernel. (English. Russian original)Zbl 1442.30036

Russ. Math. 63, No. 9, 43-54 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 50-62 (2019).
MSC:  30E20 45E05
Full Text:

Full Text:

Full Text:

### Integral equation for the number of integer points in a circle. (English)Zbl 1442.11101

MSC:  11H06 45H05 44A15
Full Text:

### Solving Fredholm integral equations of the first kind using Müntz wavelets. (English)Zbl 1447.65180

MSC:  65R20 45B05 65T60
Full Text:

Full Text:

### A modified Tikhonov regularization method for the solution of Fredholm equations of the first kind. (Chinese. English summary)Zbl 1424.65249

MSC:  65R20 45B05 65R30

MSC:  45E10

Full Text:

### Homotopy regularization method to solve the singular Volterra integral equations of the first kind. (English)Zbl 1407.65324

MSC:  65R20 45E10
Full Text:

Full Text:

Full Text:

Full Text:

### 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
Full Text:

### Solution of an integral equation of the first kind with a logarithmic kernel. (English. Russian original)Zbl 1397.65315

Comput. Math. Model. 29, No. 3, 307-318 (2018); translation from Prikl. Mat. Inf. 56, 61-71 (2017).
MSC:  65R20
Full Text:

### Numerical solution of a class of systems of Volterra polynomial equations of the first kind. (Russian, English)Zbl 1413.65492

Sib. Zh. Vychisl. Mat. 21, No. 1, 117-126 (2018); translation in Numer. Analysis Appl. 11, No. 1, 89-97 (2018).
MSC:  65R20 45D05 45G15
Full Text:

### Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection. (English)Zbl 1382.65469

MSC:  65R20 45B05 65R30
Full Text:

### An efficient method based on hybrid functions for Fredholm integral equation of the first kind with convergence analysis. (English)Zbl 1411.65169

MSC:  65R20 45B05
Full Text:

### Closed-form exact solutions for the unforced quintic nonlinear oscillator. (English)Zbl 1401.34002

MSC:  34A05 34C15 34C25
Full Text:

### Fast multiscale collocation methods for solving iterated Lavrentiev equations. (Chinese. English summary)Zbl 1413.65498

MSC:  65R20 45B05 65R30
Full Text:

### The method of spherical harmonics for integral transforms on a sphere. (English)Zbl 1399.47127

MSC:  47G10 44A12 53C65
Full Text:

### 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
Full Text:

### Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations. (English)Zbl 1453.65293

MSC:  65M38 65R20
Full Text:

### 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
Full Text:

Full Text:

### 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
Full Text:

Full Text:

### 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).
Full Text:

### The regularizing properties of multistep methods for first kind Volterra integral equations with smooth kernels. (English)Zbl 1355.65183

MSC:  65R20 45D05 65R30
Full Text:

### Numerical solution of two-dimensional integral equations of the first kind by multi-step methods. (English)Zbl 1424.65256

MSC:  65R20 45D05
Full Text:

Full Text:

Full Text:

Full Text:

### 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).

### Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. (Russian. English summary)Zbl 1348.45001

MSC:  45D05 47A52
Full Text:

### Projected Tikhonov regularization method for Fredholm integral equations of the first kind. (English)Zbl 1347.65198

MSC:  65R20 65R30 45B05
Full Text:

### Integral-algebraic equations: Theory of collocation methods. II. (English)Zbl 1347.65196

MSC:  65R20 65L80 45D05
Full Text:

### 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).
Full Text:

### The necessary and sufficient condition for the existence and uniqueness of a system of Fredholm integral equations of the first kind. (Chinese. English summary)Zbl 07449387

MSC:  45B05 35J05
Full Text:

### Application of numerical methods for the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction. (Russian. English summary)Zbl 1344.45002

MSC:  45D05 80A20
Full Text:

### On perturbation method for the first kind equations: regularization and application. (English)Zbl 1342.47018

MSC:  47A52 65R30
Full Text:

Full Text:

### 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).
Full Text:

Full Text:

### On systems of linear functional equations of the third kind in $$L_2$$. (English. Russian original)Zbl 1342.45003

Sib. Math. J. 56, No. 3, 435-441 (2015); translation from Sib. Mat. Zh. 56, No. 3, 549-556 (2015).
MSC:  45F05 45P05
Full Text:

### 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).
Full Text:

### 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).
Full Text:

### Non-negatively constrained least squares and parameter choice by the residual periodogram for the inversion of electrochemical impedance spectroscopy data. (English)Zbl 1304.65268

MSC:  65R20 65R32 45B05 45A05 78A57 78M25 65F08
Full Text:

### 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
Full Text:

### On the first integrals of the generalized Abel equation of the second kind of special form. (Russian. English summary)Zbl 1335.34006

MSC:  34A05 34A34 34C20

Full Text:

### Reconstruction of a convolution operator from the right-hand side on the real half-axis. (Russian, English)Zbl 1340.45004

Sib. Zh. Ind. Mat. 17, No. 2, 32-40 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 428-435 (2014).
MSC:  45E10 45A05 45D05
Full Text:

Full Text:

### 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
Full Text:

### Numerical solution of Volterra integral equations of the first kind with piecewise continuous kernel. (Russian. English summary)Zbl 1308.65222

MSC:  65R20 45D05 45A05
Full Text:

### First kind cordial Volterra integral equations. II. (English)Zbl 1381.45015

MSC:  45D05 45P05 65R20
Full Text:

Full Text:

Full Text:

### An stable approach to a kind of problems involving the inversion of a Volterra integral equation of the first kind: application to x-ray fluorescence analysis. (English)Zbl 1297.45003

MSC:  45D05 78A35
Full Text:

### 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
Full Text:

### Generalized solution to the Volterra equations with piecewise continuous kernels. (English)Zbl 1314.45004

MSC:  45D05 45A05
Full Text:

Full Text:

### On the identification of a linear source for the second order elliptic equation with integral condition. (Russian. English summary)Zbl 1462.35467

MSC:  35R30 35J25
Full Text:

Full Text:

### Axially symmetric conducting body in a coaxial electric field. (Russian)Zbl 1299.78004

MSC:  78A30 45B05
Full Text:

### 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
Full Text:

### 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).
Full Text:

### 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).
Full Text:

Full Text:

### Numerical solution of some nonlinear Volterra integral equations of the first kind. (English)Zbl 1270.65082

MSC:  65R20 45D05 45G10
Full Text:

### 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
Full Text:

### Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. (English)Zbl 1267.76111

MSC:  76T10 45B05
Full Text:

### 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
Full Text:

### The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. (English)Zbl 1270.34058

MSC:  34C08 34C07 14K20
Full Text:

### Restoring orientational distribution function of particles. (Russian. English summary)Zbl 1381.45038

MSC:  45Q05 65R32 45B05
Full Text:

### Solution to the Volterra integral equations of the first kind with discontinuous kernels. (Russian. English summary)Zbl 1413.45004

MSC:  45D05 45M05
Full Text:

### Numerical simulation of nonlinear dynamic systems with vector input by quadratic Volterra polynomials. (Russian. English summary)Zbl 1331.93105

MSC:  93C30 93C10 93B30
Full Text:

MSC:  45D05
Full Text:

### On the numerical solution of parabolic Cauchy problem in a domain with cut. (Ukrainian. English, Russian summaries)Zbl 1296.65123

MSC:  65M20 35K15 65M38

### 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).
Full Text:

### 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).
Full Text:

### 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
Full Text:

Full Text:

### Volterra integral equations of the first kind with piecewise continuous kernels in the theory of evolving systems modeling. (Russian. English summary)Zbl 1261.65139

MSC:  65R20 45A05 45D05

MSC:  74B99

### Iterative method for analytical continuation of the gravity field. (English. Russian original)Zbl 1260.86011

Comput. Math. Model. 23, No. 1, 51-55 (2012); translation from Prikl. Mat. Inf. 36, 67-73 (2010).
MSC:  86A20
Full Text:

### 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
Full Text:

Full Text:

Full Text:

all top 5

all top 5

all top 5

all top 3

all top 3