• DML-CZ Home

65N25 Eigenvalue problems (30 articles)

• Yin, Xu; Cao, Waixiang; Zhang, Zhimin: Superconvergence analysis of spectral volume methods for one-dimensional diffusion and third-order wave equations. (English). Applications of Mathematics, vol. 69 (2024), issue 5, pp. 545-570
• Zhang, Yu; Bi, Hai; Yang, Yidu: Asymptotic lower bounds for eigenvalues of the Steklov eigenvalue problem with variable coefficients. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 1-19
• He, Yunhui; Li, Yu; Xie, Hehu; You, Chun'guang; Zhang, Ning: A multilevel Newton's method for eigenvalue problems. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 281-303
• Čertík, Ondřej; Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe: The virtual element method for eigenvalue problems with potential terms on polytopic meshes. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 333-365
• Xu, Fei; Xie, Hehu: A full multigrid method for semilinear elliptic equation. (English). Applications of Mathematics, vol. 62 (2017), issue 3, pp. 225-241
• Zeng, Yuping; Wang, Feng: A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems. (English). Applications of Mathematics, vol. 62 (2017), issue 3, pp. 243-267
• Feng, Xinlong; Weng, Zhifeng; Xie, Hehu: Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. (English). Applications of Mathematics, vol. 59 (2014), issue 6, pp. 615-630
• Huang, Pengzhan: Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 361-370
• Andreev, Andrey; Racheva, Milena: Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 371-390
• Stammberger, Markus; Voss, Heinrich: Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 1-13
• Li, Qin; Lin, Qun; Xie, Hehu: Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 129-151
• Dai, Xiaoying; He, Lianhua; Zhou, Aihui: Adaptive finite element analysis based on perturbation arguments. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 62-71
• Vejchodský, Tomáš: Guaranteed and fully computable two-sided bounds of Friedrichs’ constant. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 195-201
• Lin, Qun; Xie, Hehu: A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 134-143
• Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin: Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 1-15
• Chen, Hongtao; Jia, Shanghui; Xie, Hehu: Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 237-250
• Chen, Wei; Lin, Qun: Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method. (English). Applications of Mathematics, vol. 51 (2006), issue 1, pp. 73-88
• Nečesal, Petr: The beam operator and the Fučík spectrum. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 303-310
• de Schepper, Hennie; van Keer, Roger: Finite element approximation of a contact vector eigenvalue problem. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 559-571
• Práger, Milan: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 231-239
• Sladek, Vladimír; Sladek, Ján: Multiple reciprocity method for plate bending vibration, sound pressure vibration and coupled structural-acoustic problems. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 199-206
• Albrecht, J.: Eigenvalue problems with functional-differential equations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 212-213
• Vanmaele, M.; van Keer, R.: On an internal approximation of a class of elliptic eigenvalue problems. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 301-304
• Goerisch, Friedrich; Albrecht, Julius: The convergence of a new method for calculating lower bounds to eigenvalues. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [303]-308
• Rektorys, Karel: A proof of monotony of the Temple quotients in eigenvalue problems. (English). Aplikace matematiky, vol. 29 (1984), issue 2, pp. 149-158
• Goerisch, Friedrich; Albrecht, Julius: Untere Schranken für die Eigenwerte Stekloffscher Eigenwertaufgaben. (German) [Lower bounds for the eigenvalues of Steklov eigenvalue problems]. In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 9-13
• Velte, Waldemar: Bounds for eigenvalues of differential equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 348-351
• Rektorys, Karel; Vospěl, Zdeněk: On a method of two-sided eigenvalue estimates for elliptic equations of the form $Au-\lambda Bu=0$. (English). Aplikace matematiky, vol. 26 (1981), issue 3, pp. 211-240
• Weinelt, W.: A method of BAZLEY-FOX type for the eingenvalues of the LAPLACE operator. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 167-169
• Bramble, J. H.: On the approximation of eigenvalues of non-selfadjoint operators. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 15-19