Dehbozorgi, Raziyeh; Maleknejad, Khosrow Direct operational vector scheme for first-kind nonlinear Volterra integral equations and its convergence analysis. (English) Zbl 07302524 Mediterr. J. Math. 18, No. 1, Paper No. 31, 22 p. (2021). MSC: 65R20 45D05 45G10 PDF BibTeX XML Cite \textit{R. Dehbozorgi} and \textit{K. Maleknejad}, Mediterr. J. Math. 18, No. 1, Paper No. 31, 22 p. (2021; Zbl 07302524) Full Text: DOI
Noeiaghdam, S.; Sidorov, D.; Sizikov, V.; Sidorov, N. 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 07270314 Appl. Comput. Math. 19, No. 1, 87-105 (2020). MSC: 45D05 45E10 65R20 PDF BibTeX XML Cite \textit{S. Noeiaghdam} et al., Appl. Comput. Math. 19, No. 1, 87--105 (2020; Zbl 07270314) Full Text: Link
Fang, Ximing; Lin, Furong Solving the Fredholm integral equation of the first kind by the complementarity method. (Chinese. English summary) Zbl 07267455 Numer. Math., Nanjing 41, No. 4, 289-301 (2019). MSC: 65R20 PDF BibTeX XML Cite \textit{X. Fang} and \textit{F. Lin}, Numer. Math., Nanjing 41, No. 4, 289--301 (2019; Zbl 07267455)
Peschanskii, A. I. 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 PDF BibTeX XML Cite \textit{A. I. Peschanskii}, Russ. Math. 63, No. 9, 43--54 (2019; Zbl 1442.30036); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 50--62 (2019) Full Text: DOI
Barnett, Alex; Epstein, Charles L.; Greengard, Leslie; Jiang, Shidong; Wang, Jun Explicit unconditionally stable methods for the heat equation via potential theory. (English) Zbl 1427.65416 Pure Appl. Anal. 1, No. 4, 709-742 (2019). MSC: 65R20 45D05 65F15 65M12 35K05 45E10 PDF BibTeX XML Cite \textit{A. Barnett} et al., Pure Appl. Anal. 1, No. 4, 709--742 (2019; Zbl 1427.65416) Full Text: DOI
Paul, Swaraj; Panja, M. M.; Mandal, B. N. Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets. (English) Zbl 1438.65339 Comput. Appl. Math. 38, No. 1, Paper No. 23, 24 p. (2019). MSC: 65R20 45E05 65D15 65T60 PDF BibTeX XML Cite \textit{S. Paul} et al., Comput. Appl. Math. 38, No. 1, Paper No. 23, 24 p. (2019; Zbl 1438.65339) Full Text: DOI
Chakhkiev, Magomed A.; Sulyan, Gagik S.; Ziroyan, Manya A.; Tretyakov, Nikolay P.; Mouhammad, Saif A. Integral equation for the number of integer points in a circle. (English) Zbl 1442.11101 Ital. J. Pure Appl. Math. 41, 522-525 (2019). MSC: 11H06 45H05 44A15 PDF BibTeX XML Cite \textit{M. A. Chakhkiev} et al., Ital. J. Pure Appl. Math. 41, 522--525 (2019; Zbl 1442.11101) Full Text: Link
Bahmanpour, Maryam; Tavassoli Kajani, Majid; Maleki, Mohammad Solving Fredholm integral equations of the first kind using Müntz wavelets. (English) Zbl 1447.65180 Appl. Numer. Math. 143, 159-171 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65R20 45B05 65T60 PDF BibTeX XML Cite \textit{M. Bahmanpour} et al., Appl. Numer. Math. 143, 159--171 (2019; Zbl 1447.65180) Full Text: DOI
Díaz de Alba, P.; Fermo, L.; van der Mee, C.; Rodriguez, G. Recovering the electrical conductivity of the soil via a linear integral model. (English) Zbl 1410.65119 J. Comput. Appl. Math. 352, 132-145 (2019). MSC: 65F22 65R20 86A22 45B05 PDF BibTeX XML Cite \textit{P. Díaz de Alba} et al., J. Comput. Appl. Math. 352, 132--145 (2019; Zbl 1410.65119) Full Text: DOI
Guo, Jiaqiao; Zhang, Xinming; Ma, Ling A modified Tikhonov regularization method for the solution of Fredholm equations of the first kind. (Chinese. English summary) Zbl 1424.65249 Math. Pract. Theory 48, No. 18, 244-250 (2018). MSC: 65R20 45B05 65R30 PDF BibTeX XML Cite \textit{J. Guo} et al., Math. Pract. Theory 48, No. 18, 244--250 (2018; Zbl 1424.65249)
Peschansky, A. I. Integral equations of curvilinear convolution type over the circumference with power kernels. (Russian. English summary) Zbl 1409.45005 Din. Sist., Simferopol’ 8(36), No. 2, 187-193 (2018). MSC: 45E10 PDF BibTeX XML Cite \textit{A. I. Peschansky}, Din. Sist., Simferopol' 8(36), No. 2, 187--193 (2018; Zbl 1409.45005)
Belov, A. A.; Kalitkin, N. N. Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization. (Russian. English summary) Zbl 1424.45003 Mat. Model. 30, No. 8, 67-88 (2018). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 45B05 45A05 65R30 85A15 PDF BibTeX XML Cite \textit{A. A. Belov} and \textit{N. N. Kalitkin}, Mat. Model. 30, No. 8, 67--88 (2018; Zbl 1424.45003) Full Text: Link
Fariborzi Araghi, Mohammad Ali; Noeiaghdam, Samad Homotopy regularization method to solve the singular Volterra integral equations of the first kind. (English) Zbl 1407.65324 Jordan J. Math. Stat. 11, No. 1, 1-12 (2018). MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. A. Fariborzi Araghi} and \textit{S. Noeiaghdam}, Jordan J. Math. Stat. 11, No. 1, 1--12 (2018; Zbl 1407.65324) Full Text: Link
Chapko, Roman; Mindrinos, Leonidas On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. (English) Zbl 1408.65093 J. Integral Equations Appl. 30, No. 4, 521-542 (2018). MSC: 65N35 35L20 42C10 45E05 33C45 65D32 74S15 65R20 35Q70 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{L. Mindrinos}, J. Integral Equations Appl. 30, No. 4, 521--542 (2018; Zbl 1408.65093) Full Text: DOI Euclid
Frankel, J. I.; Keyhani, M. Response function formulation for inverse heat conduction: concept. (English) Zbl 1401.80003 J. Eng. Math. 110, 75-95 (2018). MSC: 80A23 45D05 35K05 42A38 44A10 65R20 PDF BibTeX XML Cite \textit{J. I. Frankel} and \textit{M. Keyhani}, J. Eng. Math. 110, 75--95 (2018; Zbl 1401.80003) Full Text: DOI
Kim, Daeyeoul; Kim, So Eun; So, Ji Suk A study of sum of divisor functions and Stirling number of the first kind derived from Liouville functions. (English) Zbl 1442.11012 J. Appl. Math. Inform. 36, No. 5-6, 435-446 (2018). MSC: 11A25 11Y70 11B73 33E30 PDF BibTeX XML Cite \textit{D. Kim} et al., J. Appl. Math. Inform. 36, No. 5--6, 435--446 (2018; Zbl 1442.11012) Full Text: DOI
Apartsin, A. S.; Sidler, I. V. 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 PDF BibTeX XML Cite \textit{A. S. Apartsin} and \textit{I. V. Sidler}, Autom. Remote Control 79, No. 4, 604--616 (2018; Zbl 1397.65312); translation from Avtom. Telemekh. 2018, No. 4, 31--45 (2018) Full Text: DOI
Dmitriev, V. I.; Dmitrieva, I. V.; Osokin, N. A. 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 PDF BibTeX XML Cite \textit{V. I. Dmitriev} et al., Comput. Math. Model. 29, No. 3, 307--318 (2018; Zbl 1397.65315); translation from Prikl. Mat. Inf. 56, 61--71 (2017) Full Text: DOI
Solodusha, S. V. 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 PDF BibTeX XML Cite \textit{S. V. Solodusha}, Sib. Zh. Vychisl. Mat. 21, No. 1, 117--126 (2018; Zbl 1413.65492); translation in Numer. Analysis Appl. 11, No. 1, 89--97 (2018) Full Text: DOI
Luo, Xingjun; Ouyang, Zhaofu; Zeng, Chunmei; Li, Fanchun Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection. (English) Zbl 1382.65469 J. Inverse Ill-Posed Probl. 26, No. 1, 109-120 (2018). MSC: 65R20 45B05 65R30 PDF BibTeX XML Cite \textit{X. Luo} et al., J. Inverse Ill-Posed Probl. 26, No. 1, 109--120 (2018; Zbl 1382.65469) Full Text: DOI
Maleknejad, K.; Saeedipoor, E. An efficient method based on hybrid functions for Fredholm integral equation of the first kind with convergence analysis. (English) Zbl 1411.65169 Appl. Math. Comput. 304, 93-102 (2017). MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{K. Maleknejad} and \textit{E. Saeedipoor}, Appl. Math. Comput. 304, 93--102 (2017; Zbl 1411.65169) Full Text: DOI
Beléndez, Augusto; Arribas, Enrique; Beléndez, Tarsicio; Pascual, Carolina; Gimeno, Encarnación; Álvarez, Mariela L. Closed-form exact solutions for the unforced quintic nonlinear oscillator. (English) Zbl 1401.34002 Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017). MSC: 34A05 34C15 34C25 PDF BibTeX XML Cite \textit{A. Beléndez} et al., Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017; Zbl 1401.34002) Full Text: DOI
Yang, Suhua; Ouyang, Zhaofu; Luo, Xingjun; Peng, Yubing Fast multiscale collocation methods for solving iterated Lavrentiev equations. (Chinese. English summary) Zbl 1413.65498 Chin. Ann. Math., Ser. A 38, No. 4, 419-432 (2017). MSC: 65R20 45B05 65R30 PDF BibTeX XML Cite \textit{S. Yang} et al., Chin. Ann. Math., Ser. A 38, No. 4, 419--432 (2017; Zbl 1413.65498) Full Text: DOI
Stepanov, V. N. The method of spherical harmonics for integral transforms on a sphere. (English) Zbl 1399.47127 Mat. Strukt. Model. 42, 36-48 (2017). MSC: 47G10 44A12 53C65 PDF BibTeX XML Cite \textit{V. N. Stepanov}, Mat. Strukt. Model. 42, 36--48 (2017; Zbl 1399.47127) Full Text: Link
Tanana, V. P.; Sidikova, A. I. 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). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45B05 65R30 PDF BibTeX XML Cite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, Proc. Steklov Inst. Math. 299, S217--S224 (2017; Zbl 1405.65178); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 263--270 (2016) Full Text: DOI
Chapko, Roman; Johansson, B. Tomas Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations. (English) Zbl 06855400 J. Eng. Math. 103, 23-37 (2017). MSC: 65R20 35L05 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{B. T. Johansson}, J. Eng. Math. 103, 23--37 (2017; Zbl 06855400) Full Text: DOI
Kashirin, A. A.; Taltykina, M. Yu. 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). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65F10 35J05 PDF BibTeX XML Cite \textit{A. A. Kashirin} and \textit{M. Yu. Taltykina}, Comput. Math. Math. Phys. 57, No. 9, 1404--1415 (2017; Zbl 1381.65095); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1421--1432 (2017) Full Text: DOI
Arsenault, Louis-François; Neuberg, Richard; Hannah, Lauren A.; Millis, Andrew J. Projected regression method for solving Fredholm integral equations arising in the analytic continuation problem of quantum physics. (English) Zbl 1379.65097 Inverse Probl. 33, No. 11, Article ID 115007, 18 p. (2017). MSC: 65R20 45A05 45B05 68T05 65R30 PDF BibTeX XML Cite \textit{L.-F. Arsenault} et al., Inverse Probl. 33, No. 11, Article ID 115007, 18 p. (2017; Zbl 1379.65097) Full Text: DOI
Vasin, V. V.; Skorik, G. G. 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). Reviewer: Alexander N. Tynda (Penza) MSC: 65R30 45D05 65R20 PDF BibTeX XML Cite \textit{V. V. Vasin} and \textit{G. G. Skorik}, Proc. Steklov Inst. Math. 297, S211--S222 (2017; Zbl 1381.65103); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 79--90 (2016) Full Text: DOI
Schiefeneder, Daniela; Haltmeier, Markus The Radon transform over cones with vertices on the sphere and orthogonal axes. (English) Zbl 1371.44001 SIAM J. Appl. Math. 77, No. 4, 1335-1351 (2017). MSC: 44A12 92C55 45E10 65R10 45D05 PDF BibTeX XML Cite \textit{D. Schiefeneder} and \textit{M. Haltmeier}, SIAM J. Appl. Math. 77, No. 4, 1335--1351 (2017; Zbl 1371.44001) Full Text: DOI arXiv
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. 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). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDF BibTeX XML Cite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Plato, Robert The regularizing properties of multistep methods for first kind Volterra integral equations with smooth kernels. (English) Zbl 1355.65183 Comput. Methods Appl. Math. 17, No. 1, 139-159 (2017). MSC: 65R20 45D05 65R30 PDF BibTeX XML Cite \textit{R. Plato}, Comput. Methods Appl. Math. 17, No. 1, 139--159 (2017; Zbl 1355.65183) Full Text: DOI arXiv
Torabi, Seyed Musa; Tari Marzabad, Abolfazl Numerical solution of two-dimensional integral equations of the first kind by multi-step methods. (English) Zbl 1424.65256 Comput. Methods Differ. Equ. 4, No. 2, 128-138 (2016). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{S. M. Torabi} and \textit{A. Tari Marzabad}, Comput. Methods Differ. Equ. 4, No. 2, 128--138 (2016; Zbl 1424.65256) Full Text: Link
Michel, Volker; Orzlowski, Sarah On the null space of a class of Fredholm integral equations of the first kind. (English) Zbl 1351.45001 J. Inverse Ill-Posed Probl. 24, No. 6, 687-710 (2016). MSC: 45B05 45Q05 33C45 33C50 33C55 78A30 86A20 86A22 PDF BibTeX XML Cite \textit{V. Michel} and \textit{S. Orzlowski}, J. Inverse Ill-Posed Probl. 24, No. 6, 687--710 (2016; Zbl 1351.45001) Full Text: DOI
Goza, Andres; Liska, Sebastian; Morley, Benjamin; Colonius, Tim Accurate computation of surface stresses and forces with immersed boundary methods. (English) Zbl 1349.76466 J. Comput. Phys. 321, 860-873 (2016). MSC: 76M20 65M06 74F10 76D05 74S20 PDF BibTeX XML Cite \textit{A. Goza} et al., J. Comput. Phys. 321, 860--873 (2016; Zbl 1349.76466) Full Text: DOI
Solodusha, S. V.; Mokry, I. V. 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 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 3, 119-129 (2016). MSC: 65R20 45D05 45A05 65Y04 PDF BibTeX XML Cite \textit{S. V. Solodusha} and \textit{I. V. Mokry}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 9, No. 3, 119--129 (2016; Zbl 1352.65656) Full Text: DOI
Gockenbach, Mark S. 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). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 44A12 47A52 65F22 65J20 65L08 65L09 65R30 65R32 65J10 65R10 45B05 45A05 92C55 PDF BibTeX XML Cite \textit{M. S. Gockenbach}, Linear inverse problems and Tikhonov regularization. Washington, DC: Mathematical Association of America (MAA) (2016; Zbl 1367.65085)
Muftahov, Il’dar Rinatovich; Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. (Russian. English summary) Zbl 1348.45001 Izv. Irkutsk. Gos. Univ., Ser. Mat. 15, 62-77 (2016). MSC: 45D05 47A52 PDF BibTeX XML Cite \textit{I. R. Muftahov} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 15, 62--77 (2016; Zbl 1348.45001) Full Text: Link
Neggal, Billel; Boussetila, Nadjib; Rebbani, Faouzia Projected Tikhonov regularization method for Fredholm integral equations of the first kind. (English) Zbl 1347.65198 J. Inequal. Appl. 2016, Paper No. 195, 21 p. (2016). MSC: 65R20 65R30 45B05 PDF BibTeX XML Cite \textit{B. Neggal} et al., J. Inequal. Appl. 2016, Paper No. 195, 21 p. (2016; Zbl 1347.65198) Full Text: DOI
Liang, Hui; Brunner, Hermann Integral-algebraic equations: Theory of collocation methods. II. (English) Zbl 1347.65196 SIAM J. Numer. Anal. 54, No. 4, 2640-2663 (2016). MSC: 65R20 65L80 45D05 PDF BibTeX XML Cite \textit{H. Liang} and \textit{H. Brunner}, SIAM J. Numer. Anal. 54, No. 4, 2640--2663 (2016; Zbl 1347.65196) Full Text: DOI
Tanana, V. P.; Vishnyakov, E. Yu.; Sidikova, A. I. 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). MSC: 65R20 65R30 45B05 65M32 35K05 35R30 PDF BibTeX XML Cite \textit{V. P. Tanana} et al., Sib. Zh. Vychisl. Mat. 19, No. 1, 97--105 (2016; Zbl 1349.65722); translation in Numer. Analysis Appl. 9, No. 1, 74--81 (2016) Full Text: DOI
Solodusha, Svetlana Vital’evna 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 Izv. Irkutsk. Gos. Univ., Ser. Mat. 11, 96-105 (2015). MSC: 45D05 80A20 PDF BibTeX XML Cite \textit{S. V. Solodusha}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 11, 96--105 (2015; Zbl 1344.45002) Full Text: Link
Muftahov, I. R.; Sidorov, D. N.; Sidorov, N. A. On perturbation method for the first kind equations: regularization and application. (English) Zbl 1342.47018 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 2, 69-80 (2015). MSC: 47A52 65R30 PDF BibTeX XML Cite \textit{I. R. Muftahov} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 2, 69--80 (2015; Zbl 1342.47018) Full Text: DOI arXiv
Voronin, Anatoly F. Reconstruction of a convolution operator from the right-hand side on the semiaxis. (English) Zbl 1326.45008 J. Inverse Ill-Posed Probl. 23, No. 5, 543-550 (2015). MSC: 45Q05 45D05 45E10 45M10 PDF BibTeX XML Cite \textit{A. F. Voronin}, J. Inverse Ill-Posed Probl. 23, No. 5, 543--550 (2015; Zbl 1326.45008) Full Text: DOI
Antonova, T. V. 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). MSC: 65R20 45E10 45Q05 65R30 65R32 PDF BibTeX XML Cite \textit{T. V. Antonova}, Sib. Zh. Vychisl. Mat. 18, No. 2, 107--120 (2015; Zbl 1340.65313); translation in Numer. Analysis Appl. 8, No. 2, 89--100 (2015) Full Text: DOI
Zhong, Min; Hon, Yiu Chung; Lu, Shuai Multiscale support vector approach for solving ill-posed problems. (English) Zbl 1331.65181 J. Sci. Comput. 64, No. 2, 317-340 (2015). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65R30 47A52 65J20 65J10 65R20 45B05 45A05 46E22 PDF BibTeX XML Cite \textit{M. Zhong} et al., J. Sci. Comput. 64, No. 2, 317--340 (2015; Zbl 1331.65181) Full Text: DOI
Korotkov, V. B. 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). Reviewer: Stefan Balint (Timişoara) MSC: 45F05 45P05 PDF BibTeX XML Cite \textit{V. B. Korotkov}, Sib. Math. J. 56, No. 3, 435--441 (2015; Zbl 1342.45003); translation from Sib. Mat. Zh. 56, No. 3, 549--556 (2015) Full Text: DOI
Aisagaliev, S. A.; Kalimoldaev, M. N. 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). MSC: 34B15 34A45 49J15 45D05 PDF BibTeX XML Cite \textit{S. A. Aisagaliev} and \textit{M. N. Kalimoldaev}, Differ. Equ. 51, No. 2, 149--162 (2015; Zbl 1322.34032); translation from Differ. Uravn. 51, No. 2, 147--160 (2015) Full Text: DOI
Richter, Mathias 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). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 65L08 65L09 65Z05 00A69 00A06 65R32 65R30 65R10 44A12 45B05 45D05 65T50 65J20 47A52 47J06 94A12 92C55 65M32 65N21 PDF BibTeX XML Cite \textit{M. Richter}, Inverse Probleme. Grundlagen, Theorie und Anwendungsbeispiele. Heidelberg: Springer Spektrum (2015; Zbl 1331.65083) Full Text: DOI
Hansen, Jakob K.; Hogue, Jarom D.; Sander, Grant K.; Renaut, Rosemary A.; Popat, Sudeep C. Non-negatively constrained least squares and parameter choice by the residual periodogram for the inversion of electrochemical impedance spectroscopy data. (English) Zbl 1304.65268 J. Comput. Appl. Math. 278, 52-74 (2015). MSC: 65R20 65R32 45B05 45A05 78A57 78M25 65F08 PDF BibTeX XML Cite \textit{J. K. Hansen} et al., J. Comput. Appl. Math. 278, 52--74 (2015; Zbl 1304.65268) Full Text: DOI arXiv
Abramovich, M. V.; Kolosova, Ye. M.; Chebakov, M. I. 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 PDF BibTeX XML Cite \textit{M. V. Abramovich} et al., J. Appl. Math. Mech. 78, No. 2, 181--186 (2014; Zbl 1432.74159); translation from Prikl. Mat. Mekh. 78, No. 2, 262--269 (2013) Full Text: DOI
Semenov, Èduard Ivanovich On the first integrals of the generalized Abel equation of the second kind of special form. (Russian. English summary) Zbl 1335.34006 Izv. Irkutsk. Gos. Univ., Ser. Mat. 7, 124-132 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 34C20 PDF BibTeX XML Cite \textit{È. I. Semenov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 7, 124--132 (2014; Zbl 1335.34006)
Zhao, Jing; Vollebregt, Edwin A. H.; Oosterlee, Cornelis W. Multigrid with FFT smoother for a simplified 2D frictional contact problem. (English) Zbl 1340.65330 Numer. Linear Algebra Appl. 21, No. 2, 256-274 (2014). Reviewer: Marco Donatelli (Como) MSC: 65R20 65F10 15B05 74M10 74M15 45B05 65T50 65F08 PDF BibTeX XML Cite \textit{J. Zhao} et al., Numer. Linear Algebra Appl. 21, No. 2, 256--274 (2014; Zbl 1340.65330) Full Text: DOI
Voronin, A. F. 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 PDF BibTeX XML Cite \textit{A. F. Voronin}, Sib. Zh. Ind. Mat. 17, No. 2, 32--40 (2014; Zbl 1340.45004); translation in J. Appl. Ind. Math. 8, No. 3, 428--435 (2014) Full Text: DOI
Min, Tao; Hu, Gang; Yan, Ligang A numerical solution of the weakly singular Fredholm integral equation of first kind. (Chinese. English summary) Zbl 1324.65157 Acta Anal. Funct. Appl. 16, No. 2, 167-171 (2014). MSC: 65R20 45B05 45E10 65R30 PDF BibTeX XML Cite \textit{T. Min} et al., Acta Anal. Funct. Appl. 16, No. 2, 167--171 (2014; Zbl 1324.65157) Full Text: DOI
Pavani, R.; Caliò, F. About an artificial time approach for iterative numerical solution of Fredholm integral equations of the first kind. (English) Zbl 1312.65231 Far East J. Math. Sci. (FJMS) 95, No. 1, 51-68 (2014). MSC: 65R30 65F10 65F22 65P99 PDF BibTeX XML Cite \textit{R. Pavani} and \textit{F. Caliò}, Far East J. Math. Sci. (FJMS) 95, No. 1, 51--68 (2014; Zbl 1312.65231) Full Text: Link
Savchenko, A. O. 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). Reviewer: Peter Massopust (München) MSC: 42C05 45B05 PDF BibTeX XML Cite \textit{A. O. Savchenko}, Theor. Math. Phys. 179, No. 2, 574--587 (2014; Zbl 1311.42062); translation from Teor. Mat. Fiz. 179, No. 2, 225--241 (2014) Full Text: DOI
Sidorov, D. N.; Tynda, A. N.; Muftahov, I. R. Numerical solution of Volterra integral equations of the first kind with piecewise continuous kernel. (Russian. English summary) Zbl 1308.65222 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 107-115 (2014). MSC: 65R20 45D05 45A05 PDF BibTeX XML Cite \textit{D. N. Sidorov} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 107--115 (2014; Zbl 1308.65222) Full Text: DOI
Vainikko, Gennadi First kind cordial Volterra integral equations 2. (English) Zbl 1381.45015 Numer. Funct. Anal. Optim. 35, No. 12, 1607-1637 (2014). MSC: 45D05 45P05 65R20 PDF BibTeX XML Cite \textit{G. Vainikko}, Numer. Funct. Anal. Optim. 35, No. 12, 1607--1637 (2014; Zbl 1381.45015) Full Text: DOI
Conca, Carlos; Lecaros, Rodrigo; Ortega, Jaime H.; Rosier, Lionel Determination of the calcium channel distribution in the olfactory system. (English) Zbl 1304.45013 J. Inverse Ill-Posed Probl. 22, No. 5, 671-711 (2014). MSC: 45Q05 45B05 92B05 65R32 PDF BibTeX XML Cite \textit{C. Conca} et al., J. Inverse Ill-Posed Probl. 22, No. 5, 671--711 (2014; Zbl 1304.45013) Full Text: DOI
Lin, Fu-Rong; Yang, Shi-Wei A weighted \(H^{1}\) seminorm regularization method for Fredholm integral equations of the first kind. (English) Zbl 1301.65132 Int. J. Comput. Math. 91, No. 5, 1012-1029 (2014). MSC: 65R20 45B05 45A05 65R30 94A08 PDF BibTeX XML Cite \textit{F.-R. Lin} and \textit{S.-W. Yang}, Int. J. Comput. Math. 91, No. 5, 1012--1029 (2014; Zbl 1301.65132) Full Text: DOI
Delgado, Víctor 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 J. Math. Chem. 52, No. 4, 1129-1136 (2014). MSC: 45D05 78A35 PDF BibTeX XML Cite \textit{V. Delgado}, J. Math. Chem. 52, No. 4, 1129--1136 (2014; Zbl 1297.45003) Full Text: DOI
Imanaliev, M. I.; Asanov, A.; Kadenova, Z. A. 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 PDF BibTeX XML Cite \textit{M. I. Imanaliev} et al., Dokl. Math. 89, No. 1, 98--102 (2014; Zbl 1297.45001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 518--522 (2014) Full Text: DOI
Sidorov, Denis N. Generalized solution to the Volterra equations with piecewise continuous kernels. (English) Zbl 1314.45004 Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 757-768 (2014). Reviewer: Martin Väth (Prague) MSC: 45D05 45A05 PDF BibTeX XML Cite \textit{D. N. Sidorov}, Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 757--768 (2014; Zbl 1314.45004) Full Text: EMIS
Lechleiter, Armin; Peters, Stefan Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields. (English) Zbl 1296.65149 Inverse Probl. 30, No. 4, Article ID 045006, 22 p. (2014). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65N25 35J05 65N22 78A45 65N38 35P15 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{S. Peters}, Inverse Probl. 30, No. 4, Article ID 045006, 22 p. (2014; Zbl 1296.65149) Full Text: DOI
Kadchenko, S. I. Numerical method for solving inverse spectral problems generated by perturbed self-adjoint operators. (Russian. English summary) Zbl 1320.65091 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 5-11 (2013). MSC: 65J22 65J10 47A10 65Y20 45B05 45C05 34L16 65L15 PDF BibTeX XML Cite \textit{S. I. Kadchenko}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 5--11 (2013; Zbl 1320.65091) Full Text: MNR
Savchenko, A. O.; Savchenko, O. Ya. Axially symmetric conducting body in a coaxial electric field. (Russian) Zbl 1299.78004 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 4, 675-684 (2013). Reviewer: Andrei Zemskov (Moskva) MSC: 78A30 45B05 PDF BibTeX XML Cite \textit{A. O. Savchenko} and \textit{O. Ya. Savchenko}, Zh. Vychisl. Mat. Mat. Fiz. 53, No. 4, 675--684 (2013; Zbl 1299.78004) Full Text: DOI
Apartsin, A. S. 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 PDF BibTeX XML Cite \textit{A. S. Apartsin}, Proc. Steklov Inst. Math. 280, S26--S38 (2013; Zbl 1287.45001); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 1, 69--81 (2012) Full Text: DOI
Li, Fanchun; Yang, Suhua; Luo, Xingjun; Peng, Yubing A multilevel iterative algorithm for solving Fredholm integral equation of the first kind. (Chinese. English summary) Zbl 1299.65303 Math. Numer. Sin. 35, No. 3, 225-238 (2013). MSC: 65R20 45B05 45F05 65R30 PDF BibTeX XML Cite \textit{F. Li} et al., Math. Numer. Sin. 35, No. 3, 225--238 (2013; Zbl 1299.65303)
Koshev, N.; Beilina, L. 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). MSC: 65R20 45A05 45B05 65R30 PDF BibTeX XML Cite \textit{N. Koshev} and \textit{L. Beilina}, in: Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2--3, 2011. New York, NY: Springer. 75--93 (2013; Zbl 1278.65198) Full Text: DOI
Bakushinsky, Anatoly B.; Smirnova, Alexandra B.; Liu, Hui 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). MSC: 65J22 65J15 47J06 65J20 45G10 65R20 PDF BibTeX XML Cite \textit{A. B. Bakushinsky} et al., in: Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2--3, 2011. New York, NY: Springer. 1--14 (2013; Zbl 1279.65073) Full Text: DOI
Koshev, Nikolay; Beilina, Larisa An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data. (English) Zbl 1312.65225 Cent. Eur. J. Math. 11, No. 8, 1489-1509 (2013). Reviewer: Lehel Banjai (Edinburgh) MSC: 65R20 65R30 45B05 45A05 PDF BibTeX XML Cite \textit{N. Koshev} and \textit{L. Beilina}, Cent. Eur. J. Math. 11, No. 8, 1489--1509 (2013; Zbl 1312.65225) Full Text: DOI
Saeedi, Leila; Tari, Abolfazl; Momeni-Masuleh, Sayed Hodjatollah Numerical solution of some nonlinear Volterra integral equations of the first kind. (English) Zbl 1270.65082 Appl. Appl. Math. 8, No. 1, 214-226 (2013). MSC: 65R20 45D05 45G10 PDF BibTeX XML Cite \textit{L. Saeedi} et al., Appl. Appl. Math. 8, No. 1, 214--226 (2013; Zbl 1270.65082) Full Text: Link
Samko, S. G.; Umarkhadzhiev, S. M. 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). Reviewer: Alexander N. Tynda (Penza) MSC: 45E10 PDF BibTeX XML Cite \textit{S. G. Samko} and \textit{S. M. Umarkhadzhiev}, Math. Notes 93, No. 4, 583--592 (2013; Zbl 1278.45003); translation from Mat. Zametki 93, No. 4, 575--585 (2013) Full Text: DOI
Wang, Y. F.; Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. (English) Zbl 1267.76111 Inverse Probl. Sci. Eng. 21, No. 2, 339-354 (2013). MSC: 76T10 45B05 PDF BibTeX XML Cite \textit{Y. F. Wang} et al., Inverse Probl. Sci. Eng. 21, No. 2, 339--354 (2013; Zbl 1267.76111) Full Text: DOI
Sidorov, D. N. 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). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 45F05 45D05 45M05 PDF BibTeX XML Cite \textit{D. N. Sidorov}, Russ. Math. 57, No. 1, 54--63 (2013; Zbl 1268.45003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 1, 62--72 (2013) Full Text: DOI
Wang, Na; Wang, Jihua; Xiao, Dongmei The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. (English) Zbl 1270.34058 J. Differ. Equations 254, No. 2, 323-341 (2013). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 14K20 PDF BibTeX XML Cite \textit{N. Wang} et al., J. Differ. Equations 254, No. 2, 323--341 (2013; Zbl 1270.34058) Full Text: DOI
Evdokimova, N. A.; Lukyanenko, D. V.; Yagola, A. G. Restoring orientational distribution function of particles. (Russian. English summary) Zbl 1381.45038 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 40(299), No. 14, 172-176 (2012). MSC: 45Q05 65R32 45B05 PDF BibTeX XML Cite \textit{N. A. Evdokimova} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 40(299), No. 14, 172--176 (2012; Zbl 1381.45038) Full Text: MNR
Sidorov, D. N. Solution to the Volterra integral equations of the first kind with discontinuous kernels. (Russian. English summary) Zbl 1413.45004 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 18(277), No. 12, 44-52 (2012). MSC: 45D05 45M05 PDF BibTeX XML Cite \textit{D. N. Sidorov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 18(277), No. 12, 44--52 (2012; Zbl 1413.45004) Full Text: MNR
Solodusha, S. V. Numerical simulation of nonlinear dynamic systems with vector input by quadratic Volterra polynomials. (Russian. English summary) Zbl 1331.93105 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 34 (293), No. 7, 53-59 (2012). MSC: 93C30 93C10 93B30 PDF BibTeX XML Cite \textit{S. V. Solodusha}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 34 (293), No. 7, 53--59 (2012; Zbl 1331.93105) Full Text: MNR
Voronin, A. F. Recovery solutions of the Volterra equation of the first kind of convolution on the half with incomplete data. (Russian. English summary) Zbl 1330.45004 Sib. Èlektron. Mat. Izv. 9, 464-471 (2012). MSC: 45D05 PDF BibTeX XML Cite \textit{A. F. Voronin}, Sib. Èlektron. Mat. Izv. 9, 464--471 (2012; Zbl 1330.45004) Full Text: Link
Vavrychuk, V. G.; Chapko, R. S. On the numerical solution of parabolic Cauchy problem in a domain with cut. (Ukrainian. English, Russian summaries) Zbl 1296.65123 Mat. Stud. 37, No. 2, 209-218 (2012). MSC: 65M20 35K15 65M38 PDF BibTeX XML Cite \textit{V. G. Vavrychuk} and \textit{R. S. Chapko}, Mat. Stud. 37, No. 2, 209--218 (2012; Zbl 1296.65123)
Polydorides, Nick; Wang, Mengdi; Bertsekas, Dimitri P. 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). MSC: 65C05 65R20 45B05 45A05 65R32 PDF BibTeX XML Cite \textit{N. Polydorides} et al., in: 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. 623--637 (2012; Zbl 1271.65008) Full Text: DOI
Babaaghaie, A.; Mesgarani, H. 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). MSC: 65R20 45B05 45A05 65T60 PDF BibTeX XML Cite \textit{A. Babaaghaie} and \textit{H. Mesgarani}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 4, 696--696 (2012; Zbl 1274.65333); translation in Comput. Math. Math. Phys. 52, No. 4, 601--614 (2012) Full Text: DOI Link
Khromov, A. P.; Khromova, G. V. 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 PDF BibTeX XML Cite \textit{A. P. Khromov} and \textit{G. V. Khromova}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 8, 1363--1372 (2012; Zbl 1274.45009); translation in Comput. Math. Math. Phys. 52, No. 8, 1079--1088 (2012) Full Text: DOI Link
Aleman, Alexandru; Montes-Rodríguez, Alfonso; Sarafoleanu, Andreea The eigenfunctions of the Hilbert matrix. (English) Zbl 1268.47040 Constr. Approx. 36, No. 3, 353-374 (2012). Reviewer: R. S. Ismagilov (Moskva) MSC: 47B37 47B38 31A10 31B10 PDF BibTeX XML Cite \textit{A. Aleman} et al., Constr. Approx. 36, No. 3, 353--374 (2012; Zbl 1268.47040) Full Text: DOI
Markova, Evgeniya Vladimirovna; Sidorov, Denis Nikolaevich Volterra integral equations of the first kind with piecewise continuous kernels in the theory of evolving systems modeling. (Russian. English summary) Zbl 1261.65139 Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 2, 31-45 (2012). MSC: 65R20 45A05 45D05 PDF BibTeX XML Cite \textit{E. V. Markova} and \textit{D. N. Sidorov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 2, 31--45 (2012; Zbl 1261.65139)
Galazyuk, Vitalij; Bubnyak, Iryna The axial-symmetric tension deformed state of a body stretched by limited displacements defined at infinity. (Ukrainian. English summary) Zbl 1265.74014 Visn. L’viv. Univ., Ser. Mekh.-Mat. 76, 146-155 (2012). MSC: 74B99 PDF BibTeX XML Cite \textit{V. Galazyuk} and \textit{I. Bubnyak}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 76, 146--155 (2012; Zbl 1265.74014)
Dmitriev, V. I.; Dmitrieva, I. V. 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 PDF BibTeX XML Cite \textit{V. I. Dmitriev} and \textit{I. V. Dmitrieva}, Comput. Math. Model. 23, No. 1, 51--55 (2012; Zbl 1260.86011); translation from Prikl. Mat. Inf. 36, 67--73 (2010) Full Text: DOI
Aisagaliev, S. A.; Kabidoldanova, A. A. 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 PDF BibTeX XML Cite \textit{S. A. Aisagaliev} and \textit{A. A. Kabidoldanova}, Differ. Equ. 48, No. 6, 832--844 (2012; Zbl 1252.49002); translation from Differ. Uravn. 48, No. 6, 826--838 (2012) Full Text: DOI
Donatelli, Marco On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov. (English) Zbl 1254.65135 Numer. Algorithms 60, No. 4, 651-668 (2012). MSC: 65R30 45B05 45A05 65R20 PDF BibTeX XML Cite \textit{M. Donatelli}, Numer. Algorithms 60, No. 4, 651--668 (2012; Zbl 1254.65135) Full Text: DOI
Smirnova, Alexandra On convergence rates for iteratively regularized procedures with linear penalty terms. (English) Zbl 1257.65027 Inverse Probl. 28, No. 8, Article ID 085005, 19 p. (2012). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 65J20 47J25 47J06 45G05 65R20 PDF BibTeX XML Cite \textit{A. Smirnova}, Inverse Probl. 28, No. 8, Article ID 085005, 19 p. (2012; Zbl 1257.65027) Full Text: DOI
Mirzaee, Farshid Numerical solution for Volterra integral equations of the first kind via quadrature rule. (English) Zbl 1247.65169 Appl. Math. Sci., Ruse 6, No. 17-20, 969-974 (2012). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{F. Mirzaee}, Appl. Math. Sci., Ruse 6, No. 17--20, 969--974 (2012; Zbl 1247.65169) Full Text: Link
Sidorov, Denis Nikolaevich Solution to the Volterra equations of the 1st kind with discontinuous kernels in the class of generalized functions. (Russian. English summary) Zbl 1264.45004 Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 1, 80-95 (2012). Reviewer: Daria Bbugajewska (Poznań) MSC: 45D05 45A05 46F10 45M05 PDF BibTeX XML Cite \textit{D. N. Sidorov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 5, No. 1, 80--95 (2012; Zbl 1264.45004)
Brunner, Hermann; Davies, Penny J.; Duncan, Dugald B. Global convergence and local superconvergence of first-kind Volterra integral equation approximations. (English) Zbl 1252.65208 IMA J. Numer. Anal. 32, No. 3, 1117-1146 (2012). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{H. Brunner} et al., IMA J. Numer. Anal. 32, No. 3, 1117--1146 (2012; Zbl 1252.65208) Full Text: DOI
Vainikko, Gennadi First kind cordial Volterra integral equations 1. (English) Zbl 1248.45002 Numer. Funct. Anal. Optim. 33, No. 6, 680-704 (2012). Reviewer: Olof Staffans (Aalto) MSC: 45D05 45P05 PDF BibTeX XML Cite \textit{G. Vainikko}, Numer. Funct. Anal. Optim. 33, No. 6, 680--704 (2012; Zbl 1248.45002) Full Text: DOI
Grinshpan, Arcadii Z. Volterra convolution equations: Solution-kernel connection. (English) Zbl 1248.45001 Integral Transforms Spec. Funct. 23, No. 4, 263-275 (2012). Reviewer: Olof Staffans (Aalto) MSC: 45D05 26D15 33B15 33C15 26D10 PDF BibTeX XML Cite \textit{A. Z. Grinshpan}, Integral Transforms Spec. Funct. 23, No. 4, 263--275 (2012; Zbl 1248.45001) Full Text: DOI
Tari, Abolfazl; Shahmorad, Sedaghat Numerical solution of a class of two-dimensional nonlinear Volterra integral equations of the first kind. (English) Zbl 1244.65248 J. Appl. Math. Inform. 30, No. 3-4, 463-475 (2012). MSC: 65R20 45G10 45D05 PDF BibTeX XML Cite \textit{A. Tari} and \textit{S. Shahmorad}, J. Appl. Math. Inform. 30, No. 3--4, 463--475 (2012; Zbl 1244.65248) Full Text: Link
Plato, Robert The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind. (English) Zbl 1245.65187 Adv. Comput. Math. 36, No. 2, 331-351 (2012). Reviewer: Chuangan Hu (Palo Alto) MSC: 65R30 65R20 65R32 45D05 45E10 PDF BibTeX XML Cite \textit{R. Plato}, Adv. Comput. Math. 36, No. 2, 331--351 (2012; Zbl 1245.65187) Full Text: DOI
Luo, Xingjun; Li, Fanchun; Yang, Suhua A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations. (English) Zbl 1250.65158 Adv. Comput. Math. 36, No. 2, 299-314 (2012). Reviewer: Robert Plato (Siegen) MSC: 65R20 65J20 45B05 45Q05 47A52 65J10 65J22 65R30 65R32 PDF BibTeX XML Cite \textit{X. Luo} et al., Adv. Comput. Math. 36, No. 2, 299--314 (2012; Zbl 1250.65158) Full Text: DOI