Castro, Luis; Duduchava, Roland; Speck, Frank-Olme Mixed impedance boundary value problems for the Laplace-Beltrami equation. (English) Zbl 07283058 J. Integral Equations Appl. 32, No. 3, 275-292 (2020). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J57 45E10 47B35 PDF BibTeX XML Cite \textit{L. Castro} et al., J. Integral Equations Appl. 32, No. 3, 275--292 (2020; Zbl 07283058) Full Text: DOI Euclid
Ezaova, A. G.; Kozhanov, A. I.; Lesev, V. N. A nonlocal problem with fractional derivatives for third-order equations. (Russian) Zbl 1438.35283 Mat. Zamet. SVFU 26, No. 1, 14-23 (2019). MSC: 35M10 45B05 35A01 35A02 26A33 PDF BibTeX XML Cite \textit{A. G. Ezaova} et al., Mat. Zamet. SVFU 26, No. 1, 14--23 (2019; Zbl 1438.35283) Full Text: DOI
Alharbi, F. M.; Abdou, M. A. Boundary and initial value problems and integral operator. (English) Zbl 1433.45006 Adv. Differ. Equ. Control Process. 19, No. 4, 391-404 (2018). MSC: 45J05 65R20 45B05 45E10 65R10 PDF BibTeX XML Cite \textit{F. M. Alharbi} and \textit{M. A. Abdou}, Adv. Differ. Equ. Control Process. 19, No. 4, 391--404 (2018; Zbl 1433.45006) Full Text: DOI
Duduchava, Roland; Tsaava, M. Mixed boundary value problems for the Laplace-Beltrami equation. (English) Zbl 1404.35146 Complex Var. Elliptic Equ. 63, No. 10, 1468-1496 (2018). Reviewer: David Kapanadze (Tbilisi) MSC: 35J25 45E10 47A53 PDF BibTeX XML Cite \textit{R. Duduchava} and \textit{M. Tsaava}, Complex Var. Elliptic Equ. 63, No. 10, 1468--1496 (2018; Zbl 1404.35146) Full Text: DOI
Eminov, S. I.; Eminova, V. S. Justification of the Galerkin method for hypersingular equations. (English. Russian original) Zbl 1346.65074 Comput. Math. Math. Phys. 56, No. 3, 417-425 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 432-440 (2016). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E10 45B05 78A45 PDF BibTeX XML Cite \textit{S. I. Eminov} and \textit{V. S. Eminova}, Comput. Math. Math. Phys. 56, No. 3, 417--425 (2016; Zbl 1346.65074); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 432--440 (2016) Full Text: DOI
Repin, O. A.; Tarasenko, A. V. Nonlocal problem for partial differential equations of fractional order. (Russian. English summary) Zbl 1413.35336 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 1, 78-86 (2015). MSC: 35M12 PDF BibTeX XML Cite \textit{O. A. Repin} and \textit{A. V. Tarasenko}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 1, 78--86 (2015; Zbl 1413.35336) Full Text: DOI MNR
Repin, O. A.; Kumykova, S. K. Boundary-value problem with Saigo operators for mixed type equation of the third order with multiple characteristics. (English. Russian original) Zbl 1329.35220 Russ. Math. 59, No. 7, 44-51 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 7, 49-57 (2015). MSC: 35M12 35R11 PDF BibTeX XML Cite \textit{O. A. Repin} and \textit{S. K. Kumykova}, Russ. Math. 59, No. 7, 44--51 (2015; Zbl 1329.35220); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 7, 49--57 (2015) Full Text: DOI
Salakhitdinov, M. S.; Islamov, N. B. A nonlocal boundary-value problem with the Bitsadze-Samarskii conditon for a parabolic-hyperbolic equation of the second kind. (English. Russian original) Zbl 1320.35242 Russ. Math. 59, No. 6, 34-42 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 43-52 (2015). MSC: 35M12 PDF BibTeX XML Cite \textit{M. S. Salakhitdinov} and \textit{N. B. Islamov}, Russ. Math. 59, No. 6, 34--42 (2015; Zbl 1320.35242); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 43--52 (2015) Full Text: DOI
Simões, A. M. A transmission problem for the Helmholtz equation with higher order boundary conditions. (English) Zbl 1317.35021 Oper. Matrices 9, No. 1, 203-223 (2015). MSC: 35J05 35J25 47B35 35S05 47A53 45E10 47F05 35R25 PDF BibTeX XML Cite \textit{A. M. Simões}, Oper. Matrices 9, No. 1, 203--223 (2015; Zbl 1317.35021) Full Text: DOI Link
Gonzalez, Oscar; Li, Jun A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in \(\mathbb{R}^{3}\). (English) Zbl 1307.65181 Math. Comput. 84, No. 292, 675-714 (2015). MSC: 65R20 45E10 45B05 65N38 35J25 PDF BibTeX XML Cite \textit{O. Gonzalez} and \textit{J. Li}, Math. Comput. 84, No. 292, 675--714 (2015; Zbl 1307.65181) Full Text: DOI
Milovanović, G. V. Quadrature processes and new applications. (English) Zbl 1299.41060 Bull., Cl. Sci. Math. Nat., Sci. Math. 145, No. 38, 83-120 (2013). MSC: 41A55 41-02 33C45 33C47 PDF BibTeX XML Cite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 145, No. 38, 83--120 (2013; Zbl 1299.41060)
Frammartino, Carmelina A Nyström method for solving a boundary value problem on \([0,\infty)\). (English) Zbl 1215.65133 Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 311-325 (2011). MSC: 65L10 34B05 34B27 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{C. Frammartino}, Springer Optim. Appl. 42, 311--325 (2011; Zbl 1215.65133) Full Text: DOI
Orav-Puurand, Kerli; Pedas, Arvet; Vainikko, Gennadi Nyström type methods for Fredholm integral equations with weak singularities. (English) Zbl 1193.65226 J. Comput. Appl. Math. 234, No. 9, 2848-2858 (2010). Reviewer: I. V. Boikov (Penza) MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{K. Orav-Puurand} et al., J. Comput. Appl. Math. 234, No. 9, 2848--2858 (2010; Zbl 1193.65226) Full Text: DOI
Pallav, Rene; Pedas, Arvet Quadratic spline collocation for the smoothed weakly singular Fredholm integral equations. (English) Zbl 1187.65150 Numer. Funct. Anal. Optim. 30, No. 9-10, 1048-1064 (2009). Reviewer: I. V. Boikov (Penza) MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{R. Pallav} and \textit{A. Pedas}, Numer. Funct. Anal. Optim. 30, No. 9--10, 1048--1064 (2009; Zbl 1187.65150) Full Text: DOI
Pallav, Rene; Pedas, Arvet Smoothing and quadratic spline collocation method for weakly singular integral equations. (English) Zbl 1182.65204 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1288-1291 (2009). MSC: 65R20 45E10 45B05 PDF BibTeX XML Cite \textit{R. Pallav} and \textit{A. Pedas}, AIP Conf. Proc. 1168, 1288--1291 (2009; Zbl 1182.65204) Full Text: DOI
Castro, L. P.; Kapanadze, D. Dirichlet-Neumann-impedance boundary value problems arising in rectangular wedge diffraction problems. (English) Zbl 1185.35055 Proc. Am. Math. Soc. 136, No. 6, 2113-2123 (2008). MSC: 35J25 35J05 45E10 47G30 35C05 PDF BibTeX XML Cite \textit{L. P. Castro} and \textit{D. Kapanadze}, Proc. Am. Math. Soc. 136, No. 6, 2113--2123 (2008; Zbl 1185.35055) Full Text: DOI
Gu, Chuanqing; Shen, Jindong Computational aspect for function-valued Padé-type approximation. (English) Zbl 1174.65401 Numer. Math., J. Chin. Univ. 16, No. 2, 171-180 (2007). MSC: 65F40 65R20 45B05 41A21 PDF BibTeX XML Cite \textit{C. Gu} and \textit{J. Shen}, Numer. Math., J. Chin. Univ. 16, No. 2, 171--180 (2007; Zbl 1174.65401)
Bayev, A. V.; Yagola, A. G. Optimal recovery in problems of solving linear integral equations with a priori information. (English) Zbl 1128.65015 J. Inverse Ill-Posed Probl. 15, No. 6, 569-586 (2007). MSC: 65D15 45B05 45E10 65R32 45Q05 PDF BibTeX XML Cite \textit{A. V. Bayev} and \textit{A. G. Yagola}, J. Inverse Ill-Posed Probl. 15, No. 6, 569--586 (2007; Zbl 1128.65015) Full Text: DOI
Castro, L. P.; Speck, F.-O.; Teixeira, F. S. Mixed boundary value problems for the Helmholtz equation in a quadrant. (English) Zbl 1206.35089 Integral Equations Oper. Theory 56, No. 1, 1-44 (2006). MSC: 35J25 30E25 47G30 45E10 47A53 47A20 PDF BibTeX XML Cite \textit{L. P. Castro} et al., Integral Equations Oper. Theory 56, No. 1, 1--44 (2006; Zbl 1206.35089) Full Text: DOI
Huang, Min A construction of multiscale bases for Petrov-Galerkin methods for integral equations. (English) Zbl 1098.65121 Adv. Comput. Math. 25, No. 1-3, 7-22 (2006). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. Huang}, Adv. Comput. Math. 25, No. 1--3, 7--22 (2006; Zbl 1098.65121) Full Text: DOI
Vasconcelos, Paulo B.; d’Almeida, Filomena D. A parallel code for integral equations on a cluster of computers. (English) Zbl 1060.65694 Constanda, C. (ed.) et al., Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7–10, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3228-X/hbk). 261-266 (2004). MSC: 65R20 45E10 65Y05 85A20 PDF BibTeX XML Cite \textit{P. B. Vasconcelos} and \textit{F. D. d'Almeida}, in: Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7--10, 2002. Boston, MA: Birkhäuser. 261--266 (2004; Zbl 1060.65694)
Abdou, M. A.; Mohamed, Khamis I.; Ismail, A. S. On the numerical solutions of Fredholm–Volterra integral equation. (English) Zbl 1033.65117 Appl. Math. Comput. 146, No. 2-3, 713-728 (2003). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 74M15 45E10 45F15 PDF BibTeX XML Cite \textit{M. A. Abdou} et al., Appl. Math. Comput. 146, No. 2--3, 713--728 (2003; Zbl 1033.65117) Full Text: DOI
Frammartino, C.; Laurita, C.; Mastroianni, G. On the numerical solution of Fredholm integral equations on unbounded intervals. (English) Zbl 1032.65143 J. Comput. Appl. Math. 158, No. 2, 355-378 (2003). Reviewer: Hu Chuangan (Milpitas) MSC: 65R20 45E10 45B05 PDF BibTeX XML Cite \textit{C. Frammartino} et al., J. Comput. Appl. Math. 158, No. 2, 355--378 (2003; Zbl 1032.65143) Full Text: DOI
Voronin, A. F. Strengthening of the Fredholm alternative for convolution integral equations. (English. Russian original) Zbl 1154.45301 Dokl. Math. 66, No. 3, 425-426 (2002); translation from Dokl. Akad. Nauk 387, No. 6, 737-738 (2002). MSC: 45E10 PDF BibTeX XML Cite \textit{A. F. Voronin}, Dokl. Math. 66, No. 3, 425--426 (2002; Zbl 1154.45301); translation from Dokl. Akad. Nauk 387, No. 6, 737--738 (2002)
Pallav, Rene Quadratic spline collocation method for weakly singular integral equations on graded grids. (English) Zbl 1047.65115 Proc. Est. Acad. Sci., Phys. Math. 51, No. 4, 221-237 (2002). MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{R. Pallav}, Proc. Est. Acad. Sci., Phys. Math. 51, No. 4, 221--237 (2002; Zbl 1047.65115)
Ahues, M.; D’Almeida, F.; Largillier, A.; Titaud, O.; Vasconcelos, P. An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres. (English) Zbl 1005.65144 J. Comput. Appl. Math. 140, No. 1-2, 13-26 (2002). Reviewer: Gunther Schmidt (Berlin) MSC: 65R20 45E10 85A25 PDF BibTeX XML Cite \textit{M. Ahues} et al., J. Comput. Appl. Math. 140, No. 1--2, 13--26 (2002; Zbl 1005.65144) Full Text: DOI
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng Discrete wavelet Petrov–Galerkin methods. (English) Zbl 0998.65120 Adv. Comput. Math. 16, No. 1, 1-28 (2002). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N38 45E10 65R20 65N12 35J25 65T60 65Y20 PDF BibTeX XML Cite \textit{Z. Chen} et al., Adv. Comput. Math. 16, No. 1, 1--28 (2002; Zbl 0998.65120) Full Text: DOI
Krutitskii, P. A.; Sgibnev, A. I. The method of integral equations in the mixed Dirichlet-Neumann problem for the Laplace equation in the exterior of cuts in the plane. (English. Russian original) Zbl 1016.35015 Differ. Equ. 37, No. 10, 1363-1375 (2001); translation from Differ. Uravn. 37, No. 10, 1299-1310 (2001). MSC: 35J05 35J25 45B05 30E20 PDF BibTeX XML Cite \textit{P. A. Krutitskii} and \textit{A. I. Sgibnev}, Differ. Equ. 37, No. 10, 1363--1375 (2001; Zbl 1016.35015); translation from Differ. Uravn. 37, No. 10, 1299--1310 (2001) Full Text: DOI
Agachev, Yu. R. Optimization of direct and projection methods for solving weakly singular integral equations. (Russian) Zbl 1003.65149 Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 8, 10-19 (2001). Reviewer: Johannes Elschner (Berlin) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{Yu. R. Agachev}, Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 8, 10--19 (2001; Zbl 1003.65149)
Ahues, Mario; Largillier, Alain; Titaud, Olivier The roles of a weak singularity and the grid uniformity in relative error bounds. (English) Zbl 0996.65144 Numer. Funct. Anal. Optimization 22, No. 7-8, 789-814 (2001). Reviewer: N.Parhi (Berhampur) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. Ahues} et al., Numer. Funct. Anal. Optim. 22, No. 7--8, 789--814 (2001; Zbl 0996.65144) Full Text: DOI
Chandler-Wilde, Simon N.; Zhang, Bo; Ross, Chris R. On the solvability of second kind integral equations on the real line. (English) Zbl 0969.45004 J. Math. Anal. Appl. 245, No. 1, 28-51 (2000). Reviewer: Vladimir S.Pilidi MSC: 45E10 45L05 45P05 47G10 47B38 PDF BibTeX XML Cite \textit{S. N. Chandler-Wilde} et al., J. Math. Anal. Appl. 245, No. 1, 28--51 (2000; Zbl 0969.45004) Full Text: DOI
Attia, Gamal M.; Abd El-Monem, R. A.; Ibrahim, Edward M.; Youssef, Fathi M. H. Numerical solution of singular Fredholm integral equation of the second kind. (English) Zbl 0980.65149 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 641-649 (1999). MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{G. M. Attia} et al., in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 641--649 (1999; Zbl 0980.65149)
Ren, Yuhe; Zhang, Bo; Qiao, Hong A simple Taylor-series expansion method for a class of second kind integral equations. (English) Zbl 0936.65146 J. Comput. Appl. Math. 110, No. 1, 15-24 (1999). Reviewer: H.Brunner (St.John’s) MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{Y. Ren} et al., J. Comput. Appl. Math. 110, No. 1, 15--24 (1999; Zbl 0936.65146) Full Text: DOI
Fahmy, M. H.; Abdou, M. A.; Darwish, M. A. On the numerical solution of integral equations of the second kind with weakly singular kernels. (English) Zbl 0929.65139 Korean J. Comput. Appl. Math. 6, No. 2, 401-409 (1999). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. H. Fahmy} et al., Korean J. Comput. Appl. Math. 6, No. 2, 401--409 (1999; Zbl 0929.65139)
Abdou, M. A.; Mahmoud, S. A.; Darwish, M. A. A numerical method for solving the Fredholm integral equation of the second kind. (English) Zbl 0915.65136 Korean J. Comput. Appl. Math. 5, No. 2, 251-258 (1998). Reviewer: J.Kofroň (Praha) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{M. A. Abdou} et al., Korean J. Comput. Appl. Math. 5, No. 2, 251--258 (1998; Zbl 0915.65136)
Alkumru, A.; Polat, B. Multiple diffraction of a line source field by a three-part thin transmission slab. (English) Zbl 0907.45004 ZAMM, Z. Angew. Math. Mech. 78, No. 3, 183-195 (1998). Reviewer: Cornelis van der Mee (Cagliari) MSC: 45E10 78A45 35J05 47B35 PDF BibTeX XML Cite \textit{A. Alkumru} and \textit{B. Polat}, ZAMM, Z. Angew. Math. Mech. 78, No. 3, 183--195 (1998; Zbl 0907.45004) Full Text: DOI
Krutitskii, P. A. The 2-dimensional Dirichlet problem in an external domain with cuts. (English) Zbl 0907.35036 Z. Anal. Anwend. 17, No. 2, 361-378 (1998). Reviewer: O.Titow (Berlin) MSC: 35J05 35J25 45E05 31A05 31A25 30E25 PDF BibTeX XML Cite \textit{P. A. Krutitskii}, Z. Anal. Anwend. 17, No. 2, 361--378 (1998; Zbl 0907.35036) Full Text: DOI
Yang, Hongtao A new analysis of Volterra-Fredholm boundary integral equations of second kind. (English) Zbl 0897.45006 Northeast. Math. J. 13, No. 3, 325-334 (1997). Reviewer: A.V.Chernecky (Odessa) MSC: 45E10 35K05 35C15 65M70 PDF BibTeX XML Cite \textit{H. Yang}, Northeast. Math. J. 13, No. 3, 325--334 (1997; Zbl 0897.45006)
Qatanani, Naji Solution procedure and analysis of the integral equation for the cavity-radiation problem. (Lösungsverfahren und Analysis der Integralgleichung für das Hohlraum-Strahlungs-Problem.) (German) Zbl 0941.65121 Stuttgart: Univ. Stuttgart, iv, 75 S. (1996). MSC: 65N38 65N15 45E10 65R20 78A40 78M15 35Q60 PDF BibTeX XML Cite \textit{N. Qatanani}, Lösungsverfahren und Analysis der Integralgleichung für das Hohlraum-Strahlungs-Problem. Stuttgart: Univ. Stuttgart (1996; Zbl 0941.65121)
Nefedov, E. I.; Radtsig, Yu. Yu.; Eminov, S. I. Theory of integral equations of electromagnetic wave diffraction on an impedance strip. (English. Russian original) Zbl 0885.65153 Phys.-Dokl. 40, No. 11, 586-587 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 345, No. 2, 186-187 (1995). MSC: 65R20 45E10 78A45 PDF BibTeX XML Cite \textit{E. I. Nefedov} et al., Phys.-Dokl. 40, No. 11, 586--587 (1995; Zbl 0885.65153); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 345, No. 2, 186--187 (1995)
Samokhin, A. B. The collocation method for integral equations with dissipative operators. (English. Russian original) Zbl 0868.47010 Differ. Equations 31, No. 9, 1548-1551 (1995); translation from Differ. Uravn. 31, No. 9, 1588-1590 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 47A40 81U05 47A50 65J10 45B05 45E05 PDF BibTeX XML Cite \textit{A. B. Samokhin}, Differ. Uravn. 31, No. 9, 1 (1995; Zbl 0868.47010); translation from Differ. Uravn. 31, No. 9, 1588--1590 (1995)
Saraj, M. An interior Griffith crack opened by a heated wedge in an infinite strip whose edges are parallel to the crack axis. (English) Zbl 0821.73050 Bull. Iran. Math. Soc. 20, No. 1, 19-36 (1994). MSC: 74R99 80A20 PDF BibTeX XML Cite \textit{M. Saraj}, Bull. Iran. Math. Soc. 20, No. 1, 19--36 (1994; Zbl 0821.73050)
Shirokova, E. A. On the reduction of the solution of an inverse boundary value problem to the solution of a Fredholm equation. (English. Russian original) Zbl 0820.45002 Russ. Math. 38, No. 8, 71-79 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 8(387), 72-80 (1994). Reviewer: Z.Binderman (Warszawa) MSC: 45E05 30E25 PDF BibTeX XML Cite \textit{E. A. Shirokova}, Russ. Math. 38, No. 8, 72--80 (1994; Zbl 0820.45002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 8(387), 72--80 (1994)
Meister, E.; Penzel, F.; Speck, F.-O.; Teixeira, F. S. Two canonical wedge problems for the Helmholtz equation. (English) Zbl 0808.35022 Math. Methods Appl. Sci. 17, No. 11, 877-899 (1994). MSC: 35J05 45E10 47B35 35J25 78A45 PDF BibTeX XML Cite \textit{E. Meister} et al., Math. Methods Appl. Sci. 17, No. 11, 877--899 (1994; Zbl 0808.35022) Full Text: DOI
Dobner, Hans-Jürgen Verified solution of integral equations with applications. (English) Zbl 0793.65101 Adams, E. (ed.) et al., Scientific computing with automatic result verification. Boston: Academic Press, Inc.. Math. Sci. Eng. 189, 225-253 (1993). Reviewer: G.Mayer (Rostock) MSC: 65R20 65G30 45B05 45D05 45G05 45E10 PDF BibTeX XML Cite \textit{H.-J. Dobner}, Math. Sci. Eng. 189, 225--253 (1993; Zbl 0793.65101)
Ramachandran, M. P. A note on the integral equation method to a diffusion-reaction problem. (English) Zbl 0769.65087 Appl. Math. Lett. 6, No. 1, 27-30 (1993). MSC: 65N38 65R20 45E10 35J25 PDF BibTeX XML Cite \textit{M. P. Ramachandran}, Appl. Math. Lett. 6, No. 1, 27--30 (1993; Zbl 0769.65087) Full Text: DOI
Dobner, H.-J.; Kaucher, E. Singular operator equations with functional constraints. (English) Zbl 0838.65131 Atanassova, Lidiya (ed.) et al., Computer arithmetic and enclosure methods. Proceedings of the 3rd International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing (SCAN-91), Oldenburg, Germany, 1-4 October 1991. Amsterdam: North-Holland. 235-241 (1992). MSC: 65R20 65N38 45E05 45D05 35J05 PDF BibTeX XML Cite \textit{H. J. Dobner} and \textit{E. Kaucher}, in: Computer arithmetic and enclosure methods. Proceedings of the 3rd International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing (SCAN-91), Oldenburg, Germany, 1-4 October 1991. Amsterdam: North-Holland. 235--241 (1992; Zbl 0838.65131)
Mandal, B. N.; Chakrabarti, A. A note on the explicit solution to a class of Fredholm integral equations. (English) Zbl 0769.45003 Bull. Calcutta Math. Soc. 84, No. 5, 419-425 (1992). Reviewer: B.Hofmann MSC: 45E10 45B05 PDF BibTeX XML Cite \textit{B. N. Mandal} and \textit{A. Chakrabarti}, Bull. Calcutta Math. Soc. 84, No. 5, 419--425 (1992; Zbl 0769.45003)
Shi, Jun The extrapolation method for a class of non-smooth Fredholm integral equations. (English) Zbl 0764.65087 Syst. Sci. Math. Sci. 5, No. 1, 33-41 (1992). Reviewer: H.Brunner (St.John’s) MSC: 65R20 45E10 74R99 74B10 PDF BibTeX XML Cite \textit{J. Shi}, Syst. Sci. Math. Sci. 5, No. 1, 33--41 (1992; Zbl 0764.65087)
Ramachandran, M. P. Approximate solution of Fredholm integral equations and piecewise cubic interpolatory polynomials. (English) Zbl 0757.65147 Int. J. Comput. Math. 43, No. 3-4, 205-217 (1992). Reviewer: L.Hacia (Poznań) MSC: 65R20 45B05 45C05 45E10 PDF BibTeX XML Cite \textit{M. P. Ramachandran}, Int. J. Comput. Math. 43, No. 3--4, 205--217 (1992; Zbl 0757.65147) Full Text: DOI
Pereverzev, Sergej V.; Sharipov, Kosnazar K. Information complexity of equations of the second kind with compact operators in Hilbert space. (English) Zbl 0758.65045 J. Complexity 8, No. 2, 176-202 (1992). Reviewer: K.Najzar (Praha) MSC: 65J10 65Y20 68Q25 65R20 45B05 45E10 45N05 45D05 47A50 PDF BibTeX XML Cite \textit{S. V. Pereverzev} and \textit{K. K. Sharipov}, J. Complexity 8, No. 2, 176--202 (1992; Zbl 0758.65045) Full Text: DOI
Mynbaev, K. T. On the method of mechanical quadratures for a Fredholm integral equation in an unbounded domain. (Russian) Zbl 0732.65117 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 388-398 (1991). Reviewer: J.Kofroň (Praha) MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{K. T. Mynbaev}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 388--398 (1991; Zbl 0732.65117)
Kaneko, Hideaki; Noren, Richard An application of approximation theory to numerical solutions for Fredholm integral equations of the second kind. (English) Zbl 0757.65143 Numer. Funct. Anal. Optimization 12, No. 5-6, 517-523 (1991). Reviewer: L.Hacia (Poznań) MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{H. Kaneko} and \textit{R. Noren}, Numer. Funct. Anal. Optim. 12, No. 5--6, 517--523 (1991; Zbl 0757.65143) Full Text: DOI
Mynbaev, K. T. On the method of mechanical quadratures for a Fredholm integral equation in an unbounded domain. (English. Russian original) Zbl 0745.65081 Comput. Math. Math. Phys. 31, No. 3, 37-45 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 388-398 (1991). MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{K. T. Mynbaev}, Comput. Math. Math. Phys. 31, No. 3, 37--45 (1991; Zbl 0745.65081); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 3, 388--398 (1991)
Huizing, A. J.; Bakker, B. L. G. The solution of Faddeev integral equations for three-body scattering by means of B-splines. (English) Zbl 0725.65137 J. Comput. Phys. 90, No. 1, 200-218 (1990). Reviewer: V.Suchánková-Marsiková (Praha) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{A. J. Huizing} and \textit{B. L. G. Bakker}, J. Comput. Phys. 90, No. 1, 200--218 (1990; Zbl 0725.65137) Full Text: DOI
Costa, J. A. jun. A local BEM formulation for potential problems. (English) Zbl 0709.65084 Computational engineering with boundary elements. Vol. 2: Solid and computational problems, Proc. 5th Int. Conf. Boundary Elem. Technol., Newark/DE (USA) 1990, 389-399 (1990). Reviewer: G.Hedstrom MSC: 65N38 65R20 31A30 35J25 35C15 45E10 PDF BibTeX XML
Selvadurai, A. P. S. A crack-inclusion interaction problem for a finitely deformed incompressible elastic solid. (English) Zbl 0729.73062 Continuum mechanics and its applications, Proc. Conf., Burnaby/Can. 1988, 69-79 (1989). MSC: 74B20 74B99 74H99 74R99 74E05 PDF BibTeX XML
Pan’ko, S. V. A representation of the solutions of the generalized Cauchy-Riemann equations and its applications. (English. Russian original) Zbl 0727.76108 J. Appl. Math. Mech. 53, No. 5, 581-589 (1989); translation from Prikl. Mat. Mekh. 53, No. 5, 743-751 (1989). MSC: 76S05 30E20 PDF BibTeX XML Cite \textit{S. V. Pan'ko}, J. Appl. Math. Mech. 53, No. 5, 581--589 (1989; Zbl 0727.76108); translation from Prikl. Mat. Mekh. 53, No. 5, 743--751 (1989) Full Text: DOI
Malits, P. Ya.; Snitser, A. R.; Shevlyakov, Yu. A. Solution of the Reissner-Sagoci problem for a half-space with a cylindrical cavity. (English. Russian original) Zbl 0724.73040 Sov. Appl. Mech. 25, No. 7, 649-654 (1989); translation from Prikl. Mekh., Kiev 25, No. 7, 24-30 (1989). MSC: 74B99 74H99 74A55 74M15 45E10 PDF BibTeX XML Cite \textit{P. Ya. Malits} et al., Sov. Appl. Mech. 25, No. 7, 649--654 (1989; Zbl 0724.73040); translation from Prikl. Mekh., Kiev 25, No. 7, 24--30 (1989) Full Text: DOI
Srivastava, Namita On triple integral equations associated with Mehler-Fock transform. (English) Zbl 0701.45001 J. M.A.C.T. 22, 97-104 (1989). Reviewer: R.N.Kalia MSC: 45F10 45E10 45B05 44A15 PDF BibTeX XML Cite \textit{N. Srivastava}, J. M.A.C.T. 22, 97--104 (1989; Zbl 0701.45001)
Johnson, Claes G. L.; Scott, L. Ridgway An analysis of quadrature errors in second-kind boundary integral methods. (English) Zbl 0695.65067 SIAM J. Numer. Anal. 26, No. 6, 1356-1382 (1989). Reviewer: R.Farzan MSC: 65N35 65R20 35J05 35C15 45E10 PDF BibTeX XML Cite \textit{C. G. L. Johnson} and \textit{L. R. Scott}, SIAM J. Numer. Anal. 26, No. 6, 1356--1382 (1989; Zbl 0695.65067) Full Text: DOI
Ryym, R. On an algorithm for approximate restoration of signals distorted by a linear smoothing filter. (Russian. English summary) Zbl 0678.65095 Izv. Akad. Nauk Ehst. SSR, Fiz., Mat. 38, No. 2, 213-221 (1989). Reviewer: V.Prepelitz MSC: 65R20 65K10 93E11 93E25 45E10 PDF BibTeX XML Cite \textit{R. Ryym}, Izv. Akad. Nauk Èst. SSR, Fiz., Mat. 38, No. 2, 213--221 (1989; Zbl 0678.65095)
Aleksidze, M. A. Fundamental functions of the equations of mathematical physics in the approximate solutions of boundary value problems. Part 1. (Fundamental’nye funktsii uravnenij matematicheskoj fiziki v priblizhennykh resheniyakh granichnykh zadach. Chast’ 1.) (Russian) Zbl 0752.65078 Tbilisi: Izdatel’stvo Tbilisskogo Universiteta. 412 p. (1989). Reviewer: G.Hedstrom (Livermore) MSC: 65N38 65-02 65R20 35C15 45E10 35J05 35J25 PDF BibTeX XML Cite \textit{M. A. Aleksidze}, Fundamental'nye funktsii uravnenij matematicheskoj fiziki v priblizhennykh resheniyakh granichnykh zadach. Chast' 1 (Russian). Tbilisi: Izdatel'stvo Tbilisskogo Universiteta (1989; Zbl 0752.65078)
Sarwar, A. K. M. An attempt to recover impedance by inverting noisy and bandlimited reflection seismogram. (English) Zbl 0668.65112 Model optimization in exploration geophysics 2, Proc. 5th Int. Math. Geophys. Semin. Berlin/FRG 1987, 289-309 (1988). Reviewer: P.P.B.Eggermont MSC: 65R20 45E10 74J25 86A15 PDF BibTeX XML
Ioakimidis, N. I. The successive approximations method for the airfoil equation. (English) Zbl 0662.76016 J. Comput. Appl. Math. 21, No. 2, 231-238 (1988). Reviewer: D.Jou MSC: 76B10 45E05 PDF BibTeX XML Cite \textit{N. I. Ioakimidis}, J. Comput. Appl. Math. 21, No. 2, 231--238 (1988; Zbl 0662.76016) Full Text: DOI
Bourlard, Maryse Superconvergence pour les méthodes de Galerkin raffinées résolvant les problèmes de Neumann et Dirichlet dans un polygone. (Superconvergence for adapted Galerkin methods solving Neumann and Dirichlet problems on polygonal domains). (French. Abridged English version) Zbl 0637.65109 C. R. Acad. Sci., Paris, Sér. I 306, No. 4, 211-216 (1988). MSC: 65N35 65R20 35J05 35C15 45E10 PDF BibTeX XML Cite \textit{M. Bourlard}, C. R. Acad. Sci., Paris, Sér. I 306, No. 4, 211--216 (1988; Zbl 0637.65109)
Büyükaksoy, Alinur Surface currents induced on a perfectly conducting strip located on a cylindrical dielectric interface. (English) Zbl 0632.73098 Wave Motion 10, No. 2, 115-125 (1988). MSC: 74F15 78A45 74B99 74H99 45E10 PDF BibTeX XML Cite \textit{A. Büyükaksoy}, Wave Motion 10, No. 2, 115--125 (1988; Zbl 0632.73098) Full Text: DOI
Korotkov, V. B. A method of solving integral equations with arbitrary kernels. (English) Zbl 0635.65135 Sib. Math. J. 28, No. 1-2, 89-92 (1987). MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{V. B. Korotkov}, Sib. Math. J. 28, No. 1--2, 89--92 (1987; Zbl 0635.65135) Full Text: DOI
Bourlard, Maryse; Nicaise, Serge; Paquet, Luc Deux méthodes d’éléments finis frontières raffinés pour la résolution du problème de Neumann dans un polygone. (Two adapted boundary element methods for the solution of the Neumann problem in a polygonal domain). (French) Zbl 0624.65118 C. R. Acad. Sci., Paris, Sér. I 305, 311-314 (1987). MSC: 65N35 65R20 35J20 35C15 45E10 PDF BibTeX XML Cite \textit{M. Bourlard} et al., C. R. Acad. Sci., Paris, Sér. I 305, 311--314 (1987; Zbl 0624.65118)
Korotkov, V. B. On some method for the solution of integral equations with arbitrary kernels. (Russian) Zbl 0621.65136 Sib. Mat. Zh. 28, No. 1(161), 119-122 (1987). Reviewer: L.Hącia MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{V. B. Korotkov}, Sib. Mat. Zh. 28, No. 1(161), 119--122 (1987; Zbl 0621.65136) Full Text: EuDML
Wang, Wen-Xue; Takao, Yoshihiro; Suhara, Toshiro A fiber-reinforced matrix containing a penny-shaped crack under mode III loading condition. (English) Zbl 0612.73100 Int. J. Eng. Sci. 25, 855-869 (1987). MSC: 74R05 74G70 74E30 PDF BibTeX XML Cite \textit{W.-X. Wang} et al., Int. J. Eng. Sci. 25, 855--869 (1987; Zbl 0612.73100) Full Text: DOI
Zastrow, U. A boundary integral equation for anisotropic plates with simply-supported smooth edges. (English) Zbl 0615.73100 Boundary elements, Proc. Int. Conf., Beijing/China 1986, 393-402 (1986). MSC: 74S30 74K20 45E05 65R20 45B05 PDF BibTeX XML
Kurashige, M. Finite three-point bending of a fiber-reinforced beam with a step. (English) Zbl 0588.73077 Acta Mech. 61, 73-87 (1986). MSC: 74B20 74E30 74K10 PDF BibTeX XML Cite \textit{M. Kurashige}, Acta Mech. 61, 73--87 (1986; Zbl 0588.73077) Full Text: DOI
Kerzman, Norberto; Trummer, Manfred R. Numerical conformal mapping via the Szegö kernel. (English) Zbl 0582.30007 J. Comput. Appl. Math. 14, 111-123 (1986). Reviewer: W.Niethammer MSC: 30C30 65E05 PDF BibTeX XML Cite \textit{N. Kerzman} and \textit{M. R. Trummer}, J. Comput. Appl. Math. 14, 111--123 (1986; Zbl 0582.30007) Full Text: DOI
Danyluk, H. T.; Singh, B. M. Plastic deformation in a thick transversely isotropic layer. (English) Zbl 0571.73102 Acta Mech. 56, 75-92 (1985). MSC: 74R05 74E10 74C99 74R99 PDF BibTeX XML Cite \textit{H. T. Danyluk} and \textit{B. M. Singh}, Acta Mech. 56, 75--92 (1985; Zbl 0571.73102) Full Text: DOI
Forbes, L. K. Irregular frequencies and iterative methods in the solution of steady surface-wave problems in hydrodynamics. (English) Zbl 0569.76020 J. Eng. Math. 18, 299-313 (1984). Reviewer: R.Grimshaw MSC: 76B15 65R20 76M99 PDF BibTeX XML Cite \textit{L. K. Forbes}, J. Eng. Math. 18, 299--313 (1984; Zbl 0569.76020) Full Text: DOI
Antanovskij, L. K. Integral equations of the motion of a viscous fluid with free boundary in a doubly-connected domain. (Russian) Zbl 0572.76034 Dinamicheskie Zadachi Mekhaniki Sploshnoj Sredy, Din. Sploshnoj Sredy 63, 3-17 (1983). MSC: 76D07 PDF BibTeX XML Cite \textit{L. K. Antanovskij}, Din. Splosh. Sredy 63, 3--17 (1983; Zbl 0572.76034)
Abete Scarafiotti, Anna Rosa A quasi-analytical treatment of a singular integral equation. (English) Zbl 0541.45001 Riv. Mat. Univ. Parma, IV. Ser. 9, 289-294 (1983). Reviewer: V.Boffi MSC: 45E10 76P05 82C70 PDF BibTeX XML Cite \textit{A. R. Abete Scarafiotti}, Riv. Mat. Univ. Parma, IV. Ser. 9, 289--294 (1983; Zbl 0541.45001)
Lyudkevich, I. V.; Ostudin, B. A.; Pasichnik, R. M. Approximate solution of boundary value problems of potential theory for complicated open surfaces. (Russian) Zbl 0547.65075 Vychisl. Prikl. Mat., Kiev 47, 17-26 (1982). Reviewer: I.N.Molčanov MSC: 65N35 65R20 45E05 35J05 35C15 PDF BibTeX XML Cite \textit{I. V. Lyudkevich} et al., Vychisl. Prikl. Mat. 47, 17--26 (1982; Zbl 0547.65075)
Vinogradov, S. S.; Tuchkin, Yu. A.; Shestopalov, V. P. On the Abel transformation in the problem of diffraction by a thin strip. (English. Russian original) Zbl 0524.45006 Sov. Phys., Dokl. 27, 916-918 (1982); translation from Dokl. Akad. Nauk SSSR 267, 330-334 (1982). MSC: 45F10 78A45 PDF BibTeX XML Cite \textit{S. S. Vinogradov} et al., Sov. Phys., Dokl. 27, 916--918 (1982; Zbl 0524.45006); translation from Dokl. Akad. Nauk SSSR 267, 330--334 (1982)
Yanov, S. I. On reducing mixed problems for a class of systems of non-Cauchy- Kovalevskaya type to Fredholm equations of the second kind. (Russian) Zbl 0523.35079 Tr. Semin. S.L. Soboleva 1, 139-149 (1981). MSC: 35M99 35A05 45B05 35B45 46E35 PDF BibTeX XML
Lobanov, E. V.; Novichkov, Yu. N. Diffraction of SH waves by an oblique crack in an orthotrophic half- space. (English. Russian original) Zbl 0498.73023 Sov. Appl. Mech. 17, 610-615 (1982); translation from Prikl. Mekh. 17, No. 7, 10-16 (1981). MSC: 74J20 74R05 74S30 74J10 45B05 45E10 PDF BibTeX XML Cite \textit{E. V. Lobanov} and \textit{Yu. N. Novichkov}, Sov. Appl. Mech. 17, 610--615 (1981; Zbl 0498.73023); translation from Prikl. Mekh. 17, No. 7, 10--16 (1981) Full Text: DOI
Sladek, Jan; Sumec, Jozef Studies of stress intensity factor for a thick plate with a central crack. (English) Zbl 0486.73009 Acta Tech. CSAV 26, 627-642 (1981). MSC: 74G70 74B10 74A20 74R05 74K20 PDF BibTeX XML Cite \textit{J. Sladek} and \textit{J. Sumec}, Acta Tech. ČSAV 26, 627--642 (1981; Zbl 0486.73009)
Engl, H. W.; Kress, Rainer A singular perturbation problem for linear operators with an application to electrostatic and magnetostatic boundary and transmission problems. (English) Zbl 0476.47011 Math. Methods Appl. Sci. 3, 249-274 (1981). MSC: 47A55 45B05 78A30 PDF BibTeX XML Cite \textit{H. W. Engl} and \textit{R. Kress}, Math. Methods Appl. Sci. 3, 249--274 (1981; Zbl 0476.47011) Full Text: DOI
Graham, Ivan G. Collocation methods for two dimensional weakly singular integral equations. (English) Zbl 0469.65092 J. Aust. Math. Soc., Ser. B 22, 456-473 (1981). MSC: 65R20 45B05 45E10 PDF BibTeX XML Cite \textit{I. G. Graham}, J. Aust. Math. Soc., Ser. B 22, 456--473 (1981; Zbl 0469.65092) Full Text: DOI
Pitkäranta, Juhani Estimates for the derivatives of solutions to weakly singular Fredholm integral equations. (English) Zbl 0458.45001 SIAM J. Math. Anal. 11, 952-968 (1980). MSC: 45E05 45B05 PDF BibTeX XML Cite \textit{J. Pitkäranta}, SIAM J. Math. Anal. 11, 952--968 (1980; Zbl 0458.45001) Full Text: DOI
Krueger, Robert J. Some results on linear delay integral equations. (English) Zbl 0406.45001 J. Math. Anal. Appl. 67, 232-238 (1979). MSC: 45B05 45A05 45D05 35R30 PDF BibTeX XML Cite \textit{R. J. Krueger}, J. Math. Anal. Appl. 67, 232--238 (1979; Zbl 0406.45001) Full Text: DOI
Dhaliwal, R. S.; Singh, B. M. A problem of Reissner-Sagoci type for an elastic cylinder embedded in an elastic half-space. (English) Zbl 0395.73007 Int. J. Engin. Sci. 17, 139-144 (1979). MSC: 74B10 74A55 74M15 45B05 PDF BibTeX XML Cite \textit{R. S. Dhaliwal} and \textit{B. M. Singh}, Int. J. Eng. Sci. 17, 139--144 (1979; Zbl 0395.73007) Full Text: DOI