Pallikarakis, Nikolaos; Ntargaras, Andreas Application of machine learning regression models to inverse eigenvalue problems. (English) Zbl 07784357 Comput. Math. Appl. 154, 162-174 (2024). MSC: 65-XX 35R30 34A55 34B24 35P25 68T05 PDFBibTeX XMLCite \textit{N. Pallikarakis} and \textit{A. Ntargaras}, Comput. Math. Appl. 154, 162--174 (2024; Zbl 07784357) Full Text: DOI arXiv
Avdonin, Sergei A.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. Recovery of a potential on a quantum star graph from Weyl’s matrix. (English) Zbl 07777234 Inverse Probl. Imaging 18, No. 1, 311-325 (2024). Reviewer: Natalia Bondarenko (Saratov) MSC: 34A55 34B24 34B45 34L05 PDFBibTeX XMLCite \textit{S. A. Avdonin} et al., Inverse Probl. Imaging 18, No. 1, 311--325 (2024; Zbl 07777234) Full Text: DOI arXiv
Kravchenko, Vladislav V. Spectrum completion and inverse Sturm-Liouville problems. (English) Zbl 07782138 Math. Methods Appl. Sci. 46, No. 5, 5821-5835 (2023). MSC: 34B24 34A55 65L09 PDFBibTeX XMLCite \textit{V. V. Kravchenko}, Math. Methods Appl. Sci. 46, No. 5, 5821--5835 (2023; Zbl 07782138) Full Text: DOI arXiv
Vasconcelos, P. B.; Roman, J. E.; Matos, J. M. A. Solving differential eigenproblems via the spectral Tau method. (English) Zbl 07676502 Numer. Algorithms 92, No. 3, 1789-1811 (2023). MSC: 65L15 65L60 65F15 33C45 34B24 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Numer. Algorithms 92, No. 3, 1789--1811 (2023; Zbl 07676502) Full Text: DOI
Baeyens, Toon; Van Daele, Marnix Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. (English) Zbl 1502.65178 J. Comput. Appl. Math. 412, Article ID 114292, 15 p. (2022). MSC: 65N25 35P15 35J10 35B20 34L40 PDFBibTeX XMLCite \textit{T. Baeyens} and \textit{M. Van Daele}, J. Comput. Appl. Math. 412, Article ID 114292, 15 p. (2022; Zbl 1502.65178) Full Text: DOI
Mebirouk, AbdelMouemin; Bouheroum-Mentri, Sabria; Aceto, Lidia Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain. (English) Zbl 1433.65139 Appl. Math. Comput. 369, Article ID 124823, 10 p. (2020). MSC: 65L12 65L10 34B40 65L15 34B05 34L16 34B24 PDFBibTeX XMLCite \textit{A. Mebirouk} et al., Appl. Math. Comput. 369, Article ID 124823, 10 p. (2020; Zbl 1433.65139) Full Text: DOI
Magherini, Cecilia A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint. (English) Zbl 1427.65130 J. Comput. Appl. Math. 364, Article ID 112349, 21 p. (2020). MSC: 65L15 65L60 65L70 34B24 PDFBibTeX XMLCite \textit{C. Magherini}, J. Comput. Appl. Math. 364, Article ID 112349, 21 p. (2020; Zbl 1427.65130) Full Text: DOI arXiv
Zhao, Hou Yu; Fečkan, Michal Periodic solutions for a class of differential equation with delays depending on state. (English) Zbl 1454.34101 Math. Commun. 23, No. 1, 29-42 (2018). MSC: 34K13 PDFBibTeX XMLCite \textit{H. Y. Zhao} and \textit{M. Fečkan}, Math. Commun. 23, No. 1, 29--42 (2018; Zbl 1454.34101) Full Text: Link
Mirzaei, Hanif A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations. (English) Zbl 1395.34032 Math. Commun. 23, No. 1, 15-27 (2018). MSC: 34B24 74K10 34L05 PDFBibTeX XMLCite \textit{H. Mirzaei}, Math. Commun. 23, No. 1, 15--27 (2018; Zbl 1395.34032) Full Text: Link
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. (English) Zbl 1395.34016 Appl. Anal. 97, No. 5, 677-704 (2018). MSC: 34A25 34B30 34L40 41A25 42C10 34B24 41A10 41A60 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Appl. Anal. 97, No. 5, 677--704 (2018; Zbl 1395.34016) Full Text: DOI arXiv
Kravchenko, Vladislav V.; Navarro, Luis J.; Torba, Sergii M. Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. (English) Zbl 1426.34025 Appl. Math. Comput. 314, 173-192 (2017). MSC: 34A25 33C10 34L40 PDFBibTeX XMLCite \textit{V. V. Kravchenko} et al., Appl. Math. Comput. 314, 173--192 (2017; Zbl 1426.34025) Full Text: DOI arXiv
Wang, Yu Ping; Shieh, Chung Tsun; Miao, Hong Yi Inverse transmission eigenvalue problems with the twin-dense nodal subset. (English) Zbl 1368.34029 J. Inverse Ill-Posed Probl. 25, No. 2, 237-249 (2017). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 34A55 34L40 34B24 34L15 PDFBibTeX XMLCite \textit{Y. P. Wang} et al., J. Inverse Ill-Posed Probl. 25, No. 2, 237--249 (2017; Zbl 1368.34029) Full Text: DOI
Dehghan, M. An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm-Liouville problems. (English) Zbl 1410.65276 Appl. Math. Comput. 279, 249-257 (2016). MSC: 65L15 34B24 34L16 PDFBibTeX XMLCite \textit{M. Dehghan}, Appl. Math. Comput. 279, 249--257 (2016; Zbl 1410.65276) Full Text: DOI
Amodio, Pierluigi; Settanni, Giuseppina Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. (English) Zbl 1329.65162 Commun. Nonlinear Sci. Numer. Simul. 21, No. 1-3, 12-21 (2015). MSC: 65L12 65L15 34B24 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{G. Settanni}, Commun. Nonlinear Sci. Numer. Simul. 21, No. 1--3, 12--21 (2015; Zbl 1329.65162) Full Text: DOI
Kammanee, Athassawat Derivative-free Broyden’s method for inverse partially known Sturm-Liouville potential functions. (English) Zbl 1327.65134 Thai J. Math. 13, No. 1, 237-244 (2015). MSC: 65L09 65L15 34A55 34L15 PDFBibTeX XMLCite \textit{A. Kammanee}, Thai J. Math. 13, No. 1, 237--244 (2015; Zbl 1327.65134) Full Text: Link
Ramos, Alberto Gil C. P.; Iserles, Arieh Numerical solution of Sturm-Liouville problems via Fer streamers. (English) Zbl 1331.65108 Numer. Math. 131, No. 3, 541-565 (2015). Reviewer: Mahmoud Annaby (Giza) MSC: 65L15 34L16 65L10 65L70 65Y15 PDFBibTeX XMLCite \textit{A. G. C. P. Ramos} and \textit{A. Iserles}, Numer. Math. 131, No. 3, 541--565 (2015; Zbl 1331.65108) Full Text: DOI
Rundell, William; Sacks, Paul Inverse eigenvalue problem for a simple star graph. (English) Zbl 1325.34022 J. Spectr. Theory 5, No. 2, 363-380 (2015). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 34L05 47E05 34B45 PDFBibTeX XMLCite \textit{W. Rundell} and \textit{P. Sacks}, J. Spectr. Theory 5, No. 2, 363--380 (2015; Zbl 1325.34022) Full Text: DOI
Amodio, Pierluigi; Settanni, Giuseppina Variable-step finite difference schemes for the solution of Sturm-Liouville problems. (English) Zbl 1304.65181 Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 641-649 (2015); reprint ibid. 21, No. 1-3, 12-21 (2015). MSC: 65L12 65L15 34B24 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{G. Settanni}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 641--649 (2015; Zbl 1304.65181) Full Text: DOI arXiv
Alıcı, H.; Taşeli, H. The Laguerre pseudospectral method for the radial Schrödinger equation. (English) Zbl 1302.65171 Appl. Numer. Math. 87, 87-99 (2015). MSC: 65L15 34L16 34L40 65L60 PDFBibTeX XMLCite \textit{H. Alıcı} and \textit{H. Taşeli}, Appl. Numer. Math. 87, 87--99 (2015; Zbl 1302.65171) Full Text: DOI
Kravchenko, Vladislav V.; Torba, Sergii M. Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. (English) Zbl 1334.34026 Appl. Math. Comput. 238, 82-105 (2014). MSC: 34A25 34L05 65L15 PDFBibTeX XMLCite \textit{V. V. Kravchenko} and \textit{S. M. Torba}, Appl. Math. Comput. 238, 82--105 (2014; Zbl 1334.34026) Full Text: DOI arXiv
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M. Spectral parameter power series for perturbed Bessel equations. (English) Zbl 1329.34021 Appl. Math. Comput. 220, 676-694 (2013). MSC: 34A25 34B24 PDFBibTeX XMLCite \textit{R. Castillo-Pérez} et al., Appl. Math. Comput. 220, 676--694 (2013; Zbl 1329.34021) Full Text: DOI arXiv
Makarov, V. L.; Rossokhata, N. O.; Dragunov, D. V. An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function. (English) Zbl 1302.65172 J. Comput. Appl. Math. 250, 39-57 (2013). MSC: 65L15 65Y15 34L16 34L40 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., J. Comput. Appl. Math. 250, 39--57 (2013; Zbl 1302.65172) Full Text: DOI arXiv
Aceto, Lidia; Ghelardoni, Paolo; Magherini, Cecilia Boundary value methods for the reconstruction of Sturm-Liouville potentials. (English) Zbl 1309.65088 Appl. Math. Comput. 219, No. 6, 2960-2974 (2012). MSC: 65L15 34A55 PDFBibTeX XMLCite \textit{L. Aceto} et al., Appl. Math. Comput. 219, No. 6, 2960--2974 (2012; Zbl 1309.65088) Full Text: DOI
Böckmann, Christine; Kammanee, Athassawat Broyden method for inverse non-symmetric Sturm-Liouville problems. (English) Zbl 1226.65068 BIT 51, No. 3, 513-528 (2011). MSC: 65L15 34A55 65L09 34L16 PDFBibTeX XMLCite \textit{C. Böckmann} and \textit{A. Kammanee}, BIT 51, No. 3, 513--528 (2011; Zbl 1226.65068) 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
Ghelardoni, Paolo; Magherini, Cecilia Bvms for computing Sturm-Liouville symmetric potentials. (English) Zbl 1204.65092 Appl. Math. Comput. 217, No. 7, 3032-3045 (2010). MSC: 65L15 65L09 34L16 34A55 34B24 PDFBibTeX XMLCite \textit{P. Ghelardoni} and \textit{C. Magherini}, Appl. Math. Comput. 217, No. 7, 3032--3045 (2010; Zbl 1204.65092) Full Text: DOI
Zhang, Xuecang Mapped barycentric Chebyshev differentiation matrix method for the solution of regular Sturm-Liouville problems. (English) Zbl 1202.65101 Appl. Math. Comput. 217, No. 5, 2266-2276 (2010). MSC: 65L15 34L16 65L60 65F15 65D25 PDFBibTeX XMLCite \textit{X. Zhang}, Appl. Math. Comput. 217, No. 5, 2266--2276 (2010; Zbl 1202.65101) Full Text: DOI
Hryniv, Rostyslav; Sacks, Paul Numerical solution of the inverse spectral problem for Bessel operators. (English) Zbl 1209.65081 J. Comput. Appl. Math. 235, No. 1, 120-136 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65L15 65L09 34L16 34A55 PDFBibTeX XMLCite \textit{R. Hryniv} and \textit{P. Sacks}, J. Comput. Appl. Math. 235, No. 1, 120--136 (2010; Zbl 1209.65081) Full Text: DOI
Alıcı, H.; Taşeli, H. Pseudospectral methods for solving an equation of hypergeometric type with a perturbation. (English) Zbl 1189.65150 J. Comput. Appl. Math. 234, No. 4, 1140-1152 (2010). MSC: 65L15 65L60 34L16 34L40 81Q05 33C45 PDFBibTeX XMLCite \textit{H. Alıcı} and \textit{H. Taşeli}, J. Comput. Appl. Math. 234, No. 4, 1140--1152 (2010; Zbl 1189.65150) Full Text: DOI
Kammanee, A.; Böckmann, C. Boundary value method for inverse Sturm-Liouville problems. (English) Zbl 1170.65064 Appl. Math. Comput. 214, No. 2, 342-352 (2009). MSC: 65L09 65L15 34L16 34A55 65L06 PDFBibTeX XMLCite \textit{A. Kammanee} and \textit{C. Böckmann}, Appl. Math. Comput. 214, No. 2, 342--352 (2009; Zbl 1170.65064) Full Text: DOI
Gorbunov, Vladimir K.; Sviridov, Vyacheslav Yu. The method of normal splines for linear DAEs on the number semi-axis. (English) Zbl 1160.65045 Appl. Numer. Math. 59, No. 3-4, 656-670 (2009). MSC: 65L80 34A09 65L60 46E22 65L50 PDFBibTeX XMLCite \textit{V. K. Gorbunov} and \textit{V. Yu. Sviridov}, Appl. Numer. Math. 59, No. 3--4, 656--670 (2009; Zbl 1160.65045) Full Text: DOI
Gorbunov, Vladimir K.; Lutoshkin, Igor V.; Martynenko, Yuliya V. A parametrization method for the numerical solution of singular differential equations. (English) Zbl 1160.65033 Appl. Numer. Math. 59, No. 3-4, 639-655 (2009). MSC: 65L05 65L80 65D07 65K10 65L50 49J15 34A34 34A09 PDFBibTeX XMLCite \textit{V. K. Gorbunov} et al., Appl. Numer. Math. 59, No. 3--4, 639--655 (2009; Zbl 1160.65033) Full Text: DOI
Ishikawa, Hideaki Numerical methods for the eigenvalue determination of second-order ordinary differential equations. (English) Zbl 1122.65068 J. Comput. Appl. Math. 208, No. 2, 404-424 (2007). MSC: 65L15 34L16 65L06 PDFBibTeX XMLCite \textit{H. Ishikawa}, J. Comput. Appl. Math. 208, No. 2, 404--424 (2007; Zbl 1122.65068) Full Text: DOI
Vanden Berghe, G.; Van Daele, M. Exponentially-fitted Numerov methods. (English) Zbl 1110.65071 J. Comput. Appl. Math. 200, No. 1, 140-153 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L10 34L16 65L12 PDFBibTeX XMLCite \textit{G. Vanden Berghe} and \textit{M. Van Daele}, J. Comput. Appl. Math. 200, No. 1, 140--153 (2007; Zbl 1110.65071) Full Text: DOI
Ledoux, V.; Van Daele, M.; Vanden Berghe, G. \(CPM\{P,N\}\) methods extended for the solution of coupled channel Schrödinger equations. (English) Zbl 1196.65115 Comput. Phys. Commun. 174, No. 5, 357-370 (2006). MSC: 65L06 34-04 34A30 PDFBibTeX XMLCite \textit{V. Ledoux} et al., Comput. Phys. Commun. 174, No. 5, 357--370 (2006; Zbl 1196.65115) Full Text: DOI
Ledoux, V.; van Daele, M.; Vanden Berghe, G. High order CP methods for the numerical solution of Schrödinger problems. (English) Zbl 1088.65566 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 858-861 (2005). MSC: 65L15 34L16 34L40 65Y15 PDFBibTeX XMLCite \textit{V. Ledoux} et al., in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 858--861 (2005; Zbl 1088.65566)
Ledoux, V.; Van Daele, M.; Vanden Berghe, G. CP methods and the evaluation of negative energy Coulomb Whittaker functions. (English) Zbl 1074.65077 J. Comput. Appl. Math. 183, No. 1, 168-176 (2005). MSC: 65L05 34A30 81Q05 PDFBibTeX XMLCite \textit{V. Ledoux} et al., J. Comput. Appl. Math. 183, No. 1, 168--176 (2005; Zbl 1074.65077) Full Text: DOI