Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 PDFBibTeX XMLCite \textit{M. Bolten} et al., ETNA, Electron. Trans. Numer. Anal. 58, 136--163 (2023; Zbl 1516.15005) Full Text: DOI arXiv Link
Garg, Naveen Kumar A class of upwind methods based on generalized eigenvectors for weakly hyperbolic systems. (English) Zbl 1435.65138 Numer. Algorithms 83, No. 3, 1091-1121 (2020). MSC: 65M08 65M06 15A20 15A18 15A21 35L40 35L65 35P10 35Q35 PDFBibTeX XMLCite \textit{N. K. Garg}, Numer. Algorithms 83, No. 3, 1091--1121 (2020; Zbl 1435.65138) Full Text: DOI
Demiralp, Metin; Tuna, Süha Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: formulation and certain technicalities. (English) Zbl 1373.65093 J. Math. Chem. 55, No. 6, 1253-1277 (2017). MSC: 65R20 45C05 45P05 47A10 47B07 47G10 PDFBibTeX XMLCite \textit{M. Demiralp} and \textit{S. Tuna}, J. Math. Chem. 55, No. 6, 1253--1277 (2017; Zbl 1373.65093) Full Text: DOI
Aboelenen, T.; Bakr, S. A.; El-Hawary, H. M. Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain. (English) Zbl 1375.65135 Int. J. Comput. Math. 94, No. 3, 570-596 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 35R11 35K20 34B24 34A08 65L15 34L16 65N25 35P15 PDFBibTeX XMLCite \textit{T. Aboelenen} et al., Int. J. Comput. Math. 94, No. 3, 570--596 (2017; Zbl 1375.65135) Full Text: DOI Link
Bonnaillie-Noël, Virginie; Dambrine, Marc; Hérau, Frédéric; Vial, Grégory Artificial conditions for the linear elasticity equations. (English) Zbl 1321.35040 Math. Comput. 84, No. 294, 1599-1632 (2015). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35J47 35J57 35P10 35S15 47A10 47G30 65N20 35Q74 74B10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Math. Comput. 84, No. 294, 1599--1632 (2015; Zbl 1321.35040) Full Text: DOI
Bender, Carl M.; Fring, Andreas; Komijani, Javad Nonlinear eigenvalue problems. (English) Zbl 1295.65083 J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014). MSC: 65L15 32A05 33E15 34L20 47J10 81Q05 34L30 34E20 PDFBibTeX XMLCite \textit{C. M. Bender} et al., J. Phys. A, Math. Theor. 47, No. 23, Article ID 235204, 15 p. (2014; Zbl 1295.65083) Full Text: DOI arXiv Link
Duan, Huo-Yuan; Lin, Ping; Tan, Roger C. E. Error estimates for a vectorial second-order elliptic eigenproblem by the local \(L^2\) projected \(C^0\) finite element method. (English) Zbl 1281.65141 SIAM J. Numer. Anal. 51, No. 3, 1678-1714 (2013). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N15 65N30 65N25 35P15 65N12 PDFBibTeX XMLCite \textit{H.-Y. Duan} et al., SIAM J. Numer. Anal. 51, No. 3, 1678--1714 (2013; Zbl 1281.65141) Full Text: DOI
López, José L.; Sinusía, Ester Pérez The Liouville-Neumann expansion in singular eigenvalue problems. (English) Zbl 1236.65099 Appl. Math. Lett. 25, No. 1, 72-76 (2012). MSC: 65L15 65L10 34B05 34L16 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. P. Sinusía}, Appl. Math. Lett. 25, No. 1, 72--76 (2012; Zbl 1236.65099) Full Text: DOI
Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B. Numerical solution of singular ODE eigenvalue problems in electronic structure computations. (English) Zbl 1216.65096 Comput. Phys. Commun. 181, No. 9, 1557-1561 (2010). MSC: 65L15 34L16 34L40 PDFBibTeX XMLCite \textit{R. Hammerling} et al., Comput. Phys. Commun. 181, No. 9, 1557--1561 (2010; Zbl 1216.65096) Full Text: DOI
Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H. The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. (English) Zbl 1152.65472 Numer. Methods Partial Differ. Equations 25, No. 1, 195-211 (2009). MSC: 65M70 PDFBibTeX XMLCite \textit{D. L. Young} et al., Numer. Methods Partial Differ. Equations 25, No. 1, 195--211 (2009; Zbl 1152.65472) Full Text: DOI
Lin, Fubiao; Yang, Yidu The non-conforming \(EQ^{rot}_1\) element approximates eigenvalues that are obtained by two-grid discretization schemes from below. (Chinese. English summary) Zbl 1174.65515 J. Guizhou Norm. Univ., Nat. Sci. 26, No. 2, 68-74 (2008). MSC: 65N25 65N30 35P15 65N55 PDFBibTeX XMLCite \textit{F. Lin} and \textit{Y. Yang}, J. Guizhou Norm. Univ., Nat. Sci. 26, No. 2, 68--74 (2008; Zbl 1174.65515)
Syam, Muhammed I.; Al-Mdallal, Qasem M. The iterated variational method for the eigenelements of a class of two-point boundary value problems. (English) Zbl 1166.65364 Aust. J. Math. Anal. Appl. 4, No. 2, Article No. 3, 1-9 (2007). MSC: 65L15 34L16 PDFBibTeX XMLCite \textit{M. I. Syam} and \textit{Q. M. Al-Mdallal}, Aust. J. Math. Anal. Appl. 4, No. 2, Article No. 3, 1--9 (2007; Zbl 1166.65364) Full Text: Link
Li, Dalin; Lü, Xianrui Series solutions of linear ordinary differential equation at singular point by infinite order matrix. (Chinese. English summary) Zbl 1150.65384 J. Jilin Univ., Sci. 45, No. 2, 203-207 (2007). MSC: 65L05 34L10 34A30 PDFBibTeX XMLCite \textit{D. Li} and \textit{X. Lü}, J. Jilin Univ., Sci. 45, No. 2, 203--207 (2007; Zbl 1150.65384)
Atakishiyev, N. M.; Rueda, J. P.; Wolf, K. B. On \(q\)-extended eigenvectors of the integral and finite Fourier transforms. (English) Zbl 1129.65097 J. Phys. A, Math. Theor. 40, No. 42, 12701-12707 (2007). MSC: 65T50 15B57 15A18 42A38 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Phys. A, Math. Theor. 40, No. 42, 12701--12707 (2007; Zbl 1129.65097) Full Text: DOI
Hinze, Michael; Volkwein, Stefan Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control. (English) Zbl 1079.65533 Benner, Peter (ed.) et al., Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Berlin: Springer (ISBN 3-540-24545-6/pbk). Lecture Notes in Computational Science and Engineering 45, 261-306 (2005). MSC: 65K10 49J20 49M27 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{S. Volkwein}, Lect. Notes Comput. Sci. Eng. 45, 261--306 (2005; Zbl 1079.65533)
Armentano, María G.; Durán, Ricardo G. Asymptotic lower bounds for eigenvalues by nonconforming finite element methods. (English) Zbl 1065.65127 ETNA, Electron. Trans. Numer. Anal. 17, 93-101 (2004). MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{M. G. Armentano} and \textit{R. G. Durán}, ETNA, Electron. Trans. Numer. Anal. 17, 93--101 (2004; Zbl 1065.65127) Full Text: EuDML EMIS
Miranian, L. Slepian functions on the sphere, generalized Gaussian quadrature rule. (English) Zbl 1065.65100 Inverse Probl. 20, No. 3, 877-892 (2004). MSC: 65L15 65T40 94A08 41A55 94A12 33C55 34L16 34A55 PDFBibTeX XMLCite \textit{L. Miranian}, Inverse Probl. 20, No. 3, 877--892 (2004; Zbl 1065.65100) Full Text: DOI Link
Armentano, María G.; Durán, Ricardo G. Mass-lumping or not mass-lumping for eigenvalue problems. (English) Zbl 1041.65086 Numer. Methods Partial Differ. Equations 19, No. 5, 653-664 (2003). Reviewer: Pavel Burda (Praha) MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{M. G. Armentano} and \textit{R. G. Durán}, Numer. Methods Partial Differ. Equations 19, No. 5, 653--664 (2003; Zbl 1041.65086) Full Text: DOI
El-Gebeily, M. A. Computation of the eigenelements of singular Sturm-Liouville problems. (English) Zbl 0991.65066 Int. J. Comput. Math. 78, No. 4, 539-550 (2001). MSC: 65L15 65L60 65L20 34L16 34B24 PDFBibTeX XMLCite \textit{M. A. El-Gebeily}, Int. J. Comput. Math. 78, No. 4, 539--550 (2001; Zbl 0991.65066) Full Text: DOI
Nicaise, Serge Jacobi polynomials, weighted Sobolev spaces and approximation results of some singularities. (English) Zbl 0967.46051 Math. Nachr. 213, 117-140 (2000). Reviewer: Hideo Yamagata (Osaka) MSC: 46N40 41A10 46E35 35P10 65M70 PDFBibTeX XMLCite \textit{S. Nicaise}, Math. Nachr. 213, 117--140 (2000; Zbl 0967.46051) Full Text: DOI
Nylen, Peter Inverse eigenvalue problem: Existence of special mass-damper-spring systems. (English) Zbl 0940.65044 Linear Algebra Appl. 297, No. 1-3, 107-132 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 65F18 15A18 15A29 34A55 70J30 34L10 PDFBibTeX XMLCite \textit{P. Nylen}, Linear Algebra Appl. 297, No. 1--3, 107--132 (1999; Zbl 0940.65044) Full Text: DOI
Attili, B. S.; Elgindi, M. B. M.; El-Gebeily, M. A. Initial value methods for the eigenelements of singular two-point boundary value problems. (English) Zbl 0910.65058 Arab. J. Sci. Eng., Sect. C, Theme Issues 22, No. 2, 67-77 (1997). MSC: 65L15 65L06 34L15 PDFBibTeX XMLCite \textit{B. S. Attili} et al., Arab. J. Sci. Eng., Sect. C, Theme Issues 22, No. 2, 67--77 (1997; Zbl 0910.65058)
Lee, June-Yub; Greengard, Leslie A fast adaptive numerical method for stiff two-point boundary value problems. (English) Zbl 0882.65066 SIAM J. Sci. Comput. 18, No. 2, 403-429 (1997). Reviewer: J.B.Butler jun.(Portland) MSC: 65L10 65L15 34E13 34E15 34B27 34B05 34L15 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{L. Greengard}, SIAM J. Sci. Comput. 18, No. 2, 403--429 (1997; Zbl 0882.65066) Full Text: DOI
El-Sheikh, M. G. The justification of the truncation applied to homogeneous integral equations with Cauchy’s kernel. (English) Zbl 0871.45005 Comput. Math. Appl. 33, No. 3, 65-71 (1997). Reviewer: Z.Binderman (Warszawa) MSC: 45E05 65R20 45C05 PDFBibTeX XMLCite \textit{M. G. El-Sheikh}, Comput. Math. Appl. 33, No. 3, 65--71 (1997; Zbl 0871.45005) Full Text: DOI
Bublik, B. N.; Lyashenko, B. N. Investigation of the eigenvalues problem in multiparametric optimization problems of theoretical physics. (English) Zbl 0894.65038 Dopov. Akad. Nauk Ukr. 1996, No. 3, 35-38 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 65L15 81Q05 65Y15 34L15 PDFBibTeX XMLCite \textit{B. N. Bublik} and \textit{B. N. Lyashenko}, Dopov. Akad. Nauk Ukr. 1996, No. 3, 35--38 (1996; Zbl 0894.65038)
Bertero, M.; De Mol, C. SVD for linear inverse problems. (English) Zbl 0826.65111 Moonen, Marc (ed.) et al., SVD and signal processing III: algorithms, architectures and applications. Based on contributions presented at the 3rd international workshop on SVD and signal processing, Leuven (Belgium), 22-25 August 1994. Amsterdam: Elsevier. 341-348 (1995). MSC: 65R10 65R30 65J20 65J10 47A50 44A10 PDFBibTeX XMLCite \textit{M. Bertero} and \textit{C. De Mol}, in: SVD and signal processing III: algorithms, architectures and applications. Based on contributions presented at the 3rd international workshop on SVD and signal processing, Leuven (Belgium), 22-25 August 1994. Amsterdam: Elsevier. 341--348 (1995; Zbl 0826.65111)
Aquino, N. Asymptotic series for the quantum quartic anharmonic oscillator. (English) Zbl 0873.65079 J. Math. Chem. 18, No. 2-4, 349-357 (1995). MSC: 65L15 34E20 34L15 34L40 PDFBibTeX XMLCite \textit{N. Aquino}, J. Math. Chem. 18, No. 2--4, 349--357 (1995; Zbl 0873.65079) Full Text: DOI
Abu-Zaid, I. T.; El-Gebeily, M. A. A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems. (English) Zbl 0874.65059 IMA J. Numer. Anal. 14, No. 4, 545-562 (1994). MSC: 65L15 34L15 65L12 65L20 PDFBibTeX XMLCite \textit{I. T. Abu-Zaid} and \textit{M. A. El-Gebeily}, IMA J. Numer. Anal. 14, No. 4, 545--562 (1994; Zbl 0874.65059) Full Text: DOI
Miller, H. G. Nonperturbative treatment of singular potentials. (English) Zbl 0805.65081 J. Math. Phys. 35, No. 5, 2229-2232 (1994). MSC: 65L15 34L15 81Q10 PDFBibTeX XMLCite \textit{H. G. Miller}, J. Math. Phys. 35, No. 5, 2229--2232 (1994; Zbl 0805.65081) Full Text: DOI
Pryce, John D. Numerical solution of Sturm-Liouville problems. (English) Zbl 0795.65053 Monographs on Numerical Analysis. Oxford: Clarendon Press. xiii, 322 p. (1993). Reviewer: W.Velte (Würzburg) MSC: 65L15 65-02 65L12 65L60 65F15 34B24 34L15 PDFBibTeX XMLCite \textit{J. D. Pryce}, Numerical solution of Sturm-Liouville problems. Oxford: Clarendon Press (1993; Zbl 0795.65053)
Bailey, P. B.; Everitt, W. N.; Zettl, A. Computing eigenvalues of singular Sturm-Liouville problems. (English) Zbl 0755.65082 Result. Math. 20, No. 1-2, 391-423 (1991). Reviewer: J.B.Butler jun.(Portland) MSC: 65L15 34B24 34L15 PDFBibTeX XMLCite \textit{P. B. Bailey} et al., Result. Math. 20, No. 1--2, 391--423 (1991; Zbl 0755.65082) Full Text: DOI
Karageorghis, A.; Phillips, T. N. Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. (English) Zbl 0659.76037 J. Comput. Phys. 80, No. 2, 314-330 (1989). MSC: 76D07 65Z05 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{T. N. Phillips}, J. Comput. Phys. 80, No. 2, 314--330 (1989; Zbl 0659.76037) Full Text: DOI
Vicsek, M. Efficient error bounds for reducing an infinite interval in a singular boundary value problem. (English) Zbl 0663.65081 Z. Angew. Math. Mech. 68, No. 5, T503-T504 (1988). MSC: 65L10 65L15 34B15 34L99 PDFBibTeX XMLCite \textit{M. Vicsek}, Z. Angew. Math. Mech. 68, No. 5, T503--T504 (1988; Zbl 0663.65081) Full Text: DOI
Vicsek, M. Numerical experiment on a singular boundary value problem. (English) Zbl 0637.65079 Numerical methods, Proc. 4th Conf., Miskolc/Hung. 1986, Colloq. Math. Soc. János Bolyai 50, 363-375 (1988). Reviewer: B.Burrows MSC: 65L10 81Q05 PDFBibTeX XML
Sahni, D. C.; Kumar, Vinod Numerical solution of singular integral equations of neutron transport problems. (English) Zbl 0645.65094 Transp. Theory Stat. Phys. 16, 959-978 (1987). Reviewer: S.Mika MSC: 65R20 82C70 45F15 PDFBibTeX XMLCite \textit{D. C. Sahni} and \textit{V. Kumar}, Transp. Theory Stat. Phys. 16, 959--978 (1987; Zbl 0645.65094) Full Text: DOI
Reichel, Lothar Boundary collocation in Fejér points for computing eigenvalues and eigenfunctions of the Laplacian. (English) Zbl 0634.65101 Approximation theory, Proc. Semin., Tampa/Fla. 1985/86, Lect. Notes Math. 1287, 146-160 (1987). Reviewer: K.Moszyński MSC: 65N25 65N35 35P15 PDFBibTeX XML
Miller, A. D.; Dewar, R. L. Galerkin method for differential equations with regular singular points. (English) Zbl 0595.65084 J. Comput. Phys. 66, 356-390 (1986). MSC: 65L05 65L60 76W05 34A34 PDFBibTeX XMLCite \textit{A. D. Miller} and \textit{R. L. Dewar}, J. Comput. Phys. 66, 356--390 (1986; Zbl 0595.65084) Full Text: DOI
Bertero, M.; Grünbaum, F. A. Commuting differential operators for the finite Laplace transform. (English) Zbl 0603.44002 Inverse Probl. 1, 181-192 (1985). Reviewer: R.D.Boas MSC: 44A10 65R10 34L99 45P05 47Gxx PDFBibTeX XMLCite \textit{M. Bertero} and \textit{F. A. Grünbaum}, Inverse Probl. 1, 181--192 (1985; Zbl 0603.44002) Full Text: DOI
Sengupta, A. A transport theoretic approximation method for the monoenergetic neutron transport equation. (English) Zbl 0508.45012 J. Phys. A 15, 487-493 (1982). MSC: 45K05 45C05 82C70 82D45 85A25 65R20 PDFBibTeX XMLCite \textit{A. Sengupta}, J. Phys. A, Math. Gen. 15, 487--493 (1982; Zbl 0508.45012) Full Text: DOI
Gustafson, Karl E. Introduction to partial differential equations and Hilbert space methods. (English) Zbl 0434.35001 New York etc.: John Wiley and Sons. XV, 270 p. £10.00 (1980). MSC: 35-01 35A05 35A10 35A15 35A20 35A22 35A25 35A30 35A35 65M99 65N99 35B25 35B30 35B32 35B35 35B45 35B50 35C10 35C20 35J05 35K05 35L05 35P05 35P10 35Q99 42A05 42A10 42A15 42A16 42A65 44A15 46C05 46C99 47A05 47B06 47B25 65M06 65N06 65N30 65Z05 PDFBibTeX XML
Bieberbach, Ludwig Einführung in die Theorie der Differentialgleichungen im reellen Gebiet. Reprint. (German) Zbl 0444.34002 Grundlehren der mathematischen Wissenschaften. 83. A Series of Comprehensive Studies in Mathematics. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 281 S. DM 64.00; $ 35.20 (1979). MSC: 34-01 34B30 34A45 65J99 PDFBibTeX XML Full Text: EuDML