Afyan, A. N.; Khachatryan, A. Kh. On analytical and numerical solutions to the radiative transfer problem with a reflecting surface. (English. Russian original) Zbl 1022.65139 Comput. Math. Math. Phys. 41, No. 8, 1158-1168 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1217-1228 (2001). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65R20 45M05 82C70 45B05 45E10 PDFBibTeX XMLCite \textit{A. N. Afyan} and \textit{A. Kh. Khachatryan}, Comput. Math. Math. Phys. 41, No. 8, 1158--1168 (2001; Zbl 1022.65139); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1217--1228 (2001)
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 PDFBibTeX XMLCite \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
Frammartino, C.; Russo, M. G. Numerical remarks on the condition numbers and the eigenvalues of matrices arising from integral equations. (English) Zbl 1015.65076 Dattoli, Giuseppe (ed.) et al., Advanced special functions and integration methods. Proceedings of the workshop, Melfi, Italy, June 18-23, 2000. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 291-310 (2001). MSC: 65R20 45C05 45B05 45E05 65F35 PDFBibTeX XMLCite \textit{C. Frammartino} and \textit{M. G. Russo}, Proc. Melfi Sch. Adv. Top. Math. Phys. 2, 291--310 (2001; Zbl 1015.65076)
Saavedra, Jorge; Flores, José D. Numerical solution of Laplace’s equation on non-simply connected regions on \(\mathbb{R}^2\). (English) Zbl 1007.65098 Int. J. Comput. Math. 78, No. 2, 253-267 (2001). MSC: 65N38 31A10 65F10 35J05 35C15 PDFBibTeX XMLCite \textit{J. Saavedra} and \textit{J. D. Flores}, Int. J. Comput. Math. 78, No. 2, 253--267 (2001; Zbl 1007.65098) Full Text: DOI
Abdou, M. A.; El-Bary, A. A. Fredholm-Volterra integral equation with potential kernel. (English) Zbl 1018.45006 Math. Comput. Appl. 6, No. 2, 113-122 (2001). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 45E10 74M15 PDFBibTeX XMLCite \textit{M. A. Abdou} and \textit{A. A. El-Bary}, Math. Comput. Appl. 6, No. 2, 113--122 (2001; Zbl 1018.45006) Full Text: DOI EuDML
Roubíček, Tomáš; Schmidt, Werner H. Existence in optimal control problems of certain Fredholm integral equations. (English) Zbl 1004.49020 Control Cybern. 30, No. 3, 303-322 (2001). MSC: 49K22 45B05 PDFBibTeX XMLCite \textit{T. Roubíček} and \textit{W. H. Schmidt}, Control Cybern. 30, No. 3, 303--322 (2001; Zbl 1004.49020)
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S. Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. (English) Zbl 1004.45010 Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 36-59 (2001). MSC: 45P05 45E05 47G30 35S30 47A53 PDFBibTeX XMLCite \textit{A. Böttcher} et al., in: Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25--28, 1999. Basel: Birkhäuser. 36--59 (2001; Zbl 1004.45010)
Ruan, Qihua; Lin, Liangyu Linear singular integral equation with discrete locally holomorphic kernel on a building domain of complex biballs. (Chinese. English summary) Zbl 1009.45003 J. Xiamen Univ., Nat. Sci. 40, No. 6, 1179-1183 (2001). Reviewer: Hu Chuangan (Tianjin) MSC: 45E10 PDFBibTeX XMLCite \textit{Q. Ruan} and \textit{L. Lin}, J. Xiamen Univ., Nat. Sci. 40, No. 6, 1179--1183 (2001; Zbl 1009.45003)
Soldatov, A. P. The algebra of singular operators with terminal symbol on a piecewise smooth curve. II: Basic constructions. (English. Russian original) Zbl 1024.47031 Differ. Equ. 37, No. 6, 866-879 (2001); translation from Differ. Uravn. 37, No. 6, 825-838 (2001). Reviewer: Sergei V.Rogosin (Minsk) MSC: 47G10 47L80 45E10 45P05 PDFBibTeX XMLCite \textit{A. P. Soldatov}, Differ. Equ. 37, No. 6, 866--879 (2001; Zbl 1024.47031); translation from Differ. Uravn. 37, No. 6, 825--838 (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 PDFBibTeX XMLCite \textit{Yu. R. Agachev}, Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 8, 10--19 (2001; Zbl 1003.65149)
Gabbasov, N. S. Methods for solving a linear integral equation with a kernel having fixed singularities. (Russian) Zbl 1004.45003 Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 5, 12-20 (2001). Reviewer: C.Corduneanu (Arlington) MSC: 45E10 PDFBibTeX XMLCite \textit{N. S. Gabbasov}, Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 5, 12--20 (2001; Zbl 1004.45003)
Nair, M. T.; Rajan, M. P. Arcangeli’s type discrepancy principles for a class of regularization methods using a modified projection scheme. (English) Zbl 1005.65054 Abstr. Appl. Anal. 6, No. 6, 339-355 (2001). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65J10 65J20 47A52 65R20 65R30 45B05 PDFBibTeX XMLCite \textit{M. T. Nair} and \textit{M. P. Rajan}, Abstr. Appl. Anal. 6, No. 6, 339--355 (2001; Zbl 1005.65054) Full Text: DOI EuDML Link
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 PDFBibTeX XMLCite \textit{M. Ahues} et al., Numer. Funct. Anal. Optim. 22, No. 7--8, 789--814 (2001; Zbl 0996.65144) Full Text: DOI
Krutitskii, P. A. The mixed problem for the Laplace equation in an exterior domain with an arbitrary partition of the boundary. (English. Russian original) Zbl 0993.35030 Math. Notes 69, No. 6, 799-813 (2001); translation from Mat. Zametki 69, No. 6, 876-891 (2001). MSC: 35J25 35J05 35M10 PDFBibTeX XMLCite \textit{P. A. Krutitskii}, Math. Notes 69, No. 6, 799--813 (2001; Zbl 0993.35030); translation from Mat. Zametki 69, No. 6, 876--891 (2001) Full Text: DOI
Abdou, M. A.; Khamis, A. K. Fredholm-Volterra integral equations with hypergeometric kernel. (English) Zbl 1035.45001 Bull. Calcutta Math. Soc. 93, No. 1, 33-46 (2001). Reviewer: Stieg Olof Londen (Espoo) MSC: 45E10 PDFBibTeX XMLCite \textit{M. A. Abdou} and \textit{A. K. Khamis}, Bull. Calcutta Math. Soc. 93, No. 1, 33--46 (2001; Zbl 1035.45001)
Abdou, M. A.; El-Bary, A. A. Fredholm-Volterra integral equation with potential kernel. (English) Zbl 0993.45004 Int. J. Math. Math. Sci. 26, No. 6, 321-330 (2001). Reviewer: Gustaf Gripenberg (Hut) MSC: 45E10 45F15 PDFBibTeX XMLCite \textit{M. A. Abdou} and \textit{A. A. El-Bary}, Int. J. Math. Math. Sci. 26, No. 6, 321--330 (2001; Zbl 0993.45004) Full Text: DOI EuDML
Karlovich, Yu. I.; Lebre, A. B. Algebra of singular integral operators with a Carleman backward slowly oscillating shift. (English) Zbl 0994.47046 Integral Equations Oper. Theory 41, No. 3, 288-323 (2001). Reviewer: Niels Jacob (Swansea) MSC: 47G10 47G30 47L80 45E05 45E10 47L10 PDFBibTeX XMLCite \textit{Yu. I. Karlovich} and \textit{A. B. Lebre}, Integral Equations Oper. Theory 41, No. 3, 288--323 (2001; Zbl 0994.47046) Full Text: DOI
Gabbasov, N. S. New modifications of the collocation method for a class of linear equations with a Hadamard integral. (English. Russian original) Zbl 0994.65148 Differ. Equ. 37, No. 1, 100-106 (2001); translation from Differ. Uravn. 37, No. 1, 91-96 (2001). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{N. S. Gabbasov}, Differ. Equ. 37, No. 1, 100--106 (2001; Zbl 0994.65148); translation from Differ. Uravn. 37, No. 1, 91--96 (2001) Full Text: DOI
Pao, C. V. Numerical methods for nonlinear integro-parabolic equations of Fredholm type. (English) Zbl 0986.65146 Comput. Math. Appl. 41, No. 7-8, 857-877 (2001). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{C. V. Pao}, Comput. Math. Appl. 41, No. 7--8, 857--877 (2001; Zbl 0986.65146) Full Text: DOI
Liang, Xuezhang; Liu, Mingcai; Che, Xiangjiu Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets. (English) Zbl 1002.65143 J. Comput. Appl. Math. 136, No. 1-2, 149-161 (2001). Reviewer: I.V.Boikov (Penza) MSC: 65R20 45B05 45E10 PDFBibTeX XMLCite \textit{X. Liang} et al., J. Comput. Appl. Math. 136, No. 1--2, 149--161 (2001; Zbl 1002.65143) Full Text: DOI
Karapetyants, A. N.; Rabinovich, V. S.; Vasilevski, N. L. On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. (English) Zbl 0992.45008 Integral Equations Oper. Theory 40, No. 3, 278-308 (2001). Reviewer: Khristo N.Boyadzhiev (Ada) MSC: 45P05 47G30 45E10 PDFBibTeX XMLCite \textit{A. N. Karapetyants} et al., Integral Equations Oper. Theory 40, No. 3, 278--308 (2001; Zbl 0992.45008) Full Text: DOI
Hillion, Pierre Scattering of scalar waves by an obstacle: A different approach. (English) Zbl 0988.45003 J. Phys. A, Math. Gen. 34, No. 22, 4687-4703 (2001). Reviewer: Zbigniew Binderman (Warszawa) MSC: 45E10 45L05 35J05 35P25 74J20 PDFBibTeX XMLCite \textit{P. Hillion}, J. Phys. A, Math. Gen. 34, No. 22, 4687--4703 (2001; Zbl 0988.45003) Full Text: DOI
Cheney, Ward Analysis for applied mathematics. (English) Zbl 0984.46006 Graduate Texts in Mathematics. 208. New York, NY: Springer. viii, 444 p. (2001). Reviewer: Jürgen Appell (Würzburg) MSC: 46Bxx 46-01 65L60 32Wxx 42B10 00A05 00A06 PDFBibTeX XMLCite \textit{W. Cheney}, Analysis for applied mathematics. New York, NY: Springer (2001; Zbl 0984.46006)
Chaurasia, V. B. L.; Patni, Rinku Integral equations of Fredholm type with special functions. (English) Zbl 0980.45003 Indian J. Pure Appl. Math. 32, No. 5, 747-758 (2001). Reviewer: K.C.Gupta (Jaipur) MSC: 45E10 44A15 26A33 33C60 PDFBibTeX XMLCite \textit{V. B. L. Chaurasia} and \textit{R. Patni}, Indian J. Pure Appl. Math. 32, No. 5, 747--758 (2001; Zbl 0980.45003)
Wang, Renhong; Lu, You A spline method for solving two-dimensional Fredholm integral equation of second kind with the hypersingular kernel. (English) Zbl 0982.65140 J. Comput. Math. 19, No. 3, 225-230 (2001). MSC: 65R20 45E10 65N38 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Lu}, J. Comput. Math. 19, No. 3, 225--230 (2001; Zbl 0982.65140)
Karapetiants, N. K.; Samko, S. G. On multi-dimensional integral equations of convolution type with shift. (English) Zbl 0987.47007 Integral Equations Oper. Theory 39, No. 3, 305-328 (2001). Reviewer: V.M.Deundjak (Rostov-na-Donu) MSC: 47A53 47B35 45E10 45E05 PDFBibTeX XMLCite \textit{N. K. Karapetiants} and \textit{S. G. Samko}, Integral Equations Oper. Theory 39, No. 3, 305--328 (2001; Zbl 0987.47007) Full Text: DOI
Karlovich, Yuri I.; Ramírez de Arellano, Enrique A shift-invariant algebra of singular integral operators with oscillating coefficients. (English) Zbl 0998.47032 Integral Equations Oper. Theory 39, No. 4, 441-474 (2001). Reviewer: L.Hącia (Poznań) MSC: 47G10 47A53 45E10 47B35 45E05 PDFBibTeX XMLCite \textit{Y. I. Karlovich} and \textit{E. Ramírez de Arellano}, Integral Equations Oper. Theory 39, No. 4, 441--474 (2001; Zbl 0998.47032) Full Text: DOI
Karapetiants, N.; Samko, Stefan Equations with involutive operators. (English) Zbl 0990.47011 Boston, MA: Birkhäuser. xxii, 427 p. (2001). Reviewer: Michal Zajac (Bratislava) MSC: 47A53 47B35 47A50 47-02 PDFBibTeX XMLCite \textit{N. Karapetiants} and \textit{S. Samko}, Equations with involutive operators. Boston, MA: Birkhäuser (2001; Zbl 0990.47011)
Abdou, M. A. Integral equation with Macdonald kernel and its application to a system of contact problem. (English) Zbl 1024.45002 Appl. Math. Comput. 118, No. 1, 83-94 (2001). MSC: 45E10 74M15 PDFBibTeX XMLCite \textit{M. A. Abdou}, Appl. Math. Comput. 118, No. 1, 83--94 (2001; Zbl 1024.45002) Full Text: DOI
Celorrio, Ricardo; Sayas, Francisco-Javier Extrapolation techniques and the collocation method for a class of boundary integral equations. (English) Zbl 0973.65111 ANZIAM J. 42, No. 3, 413-437 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 45E10 65R20 65N15 35J25 PDFBibTeX XMLCite \textit{R. Celorrio} and \textit{F.-J. Sayas}, ANZIAM J. 42, No. 3, 413--437 (2001; Zbl 0973.65111) Full Text: DOI
Mitrea, Dorina; Mitrea, Marius; Taylor, Michael Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. (English) Zbl 1003.35001 Mem. Am. Math. Soc. 713, 120 p. (2001). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 35-02 35J55 42B20 58J05 58J32 58A14 31B10 31C12 45E05 78A30 PDFBibTeX XMLCite \textit{D. Mitrea} et al., Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 1003.35001) Full Text: DOI
Hagen, Roland; Roch, Steffen; Silbermann, Bernd \(C^*\)-algebras and numerical analysis. (English) Zbl 0964.65055 Pure and Applied Mathematics, Marcel Dekker. 236. New York, NY: Marcel Dekker. 376 p. (2001). Reviewer: Teresa Regińska (Warszawa) MSC: 65J10 65-02 47A50 65R20 45E10 65J05 65J20 46L05 47B35 46N40 PDFBibTeX XMLCite \textit{R. Hagen} et al., \(C^*\)-algebras and numerical analysis. New York, NY: Marcel Dekker (2001; Zbl 0964.65055)