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65N12 Stability and convergence of numerical methods (59 articles)

• Yang, Yun-Bo; Jiang, Yao-Lin; Kong, Qiong-Xiang: A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations. (English). Applications of Mathematics, vol. 64 (2019), issue 5, pp. 531-556
• Valášek, Jan; Sváček, Petr; Horáček, Jaromír: On suitable inlet boundary conditions for fluid-structure interaction problems in a channel. (English). Applications of Mathematics, vol. 64 (2019), issue 2, pp. 225-251
• Imoto, Yusuke: Unique solvability and stability analysis of a generalized particle method for a Poisson equation in discrete Sobolev norms. (English). Applications of Mathematics, vol. 64 (2019), issue 1, pp. 33-43
• Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind: On interpolation error on degenerating prismatic elements. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 237-257
• Brandner, Marek; Knobloch, Petr: Some remarks concerning stabilization techniques for convection--diffusion problems. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 35-46
• Yang, Yun-Bo; Kong, Qiong-Xiang: A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 75-100
• Oswald, Peter: Nonconforming P1 elements on distorted triangulations: Lower bounds for the discrete energy norm error. (English). Applications of Mathematics, vol. 62 (2017), issue 5, pp. 433-457
• Tang, Yaozong; Li, Xiaolin: Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems. (English). Applications of Mathematics, vol. 62 (2017), issue 5, pp. 477-492
• Verfürth, Barbara: Numerical homogenization for indefinite H(curl)-problems. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 137-146
• Hannukainen, Antti; Korotov, Sergey; Křížek, Michal: On Synge-type angle condition for $d$-simplices. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 1-13
• Brousek, Jan; Fraňková, Pavla; Vaněk, Petr: Improved convergence bounds for smoothed aggregation method: linear dependence of the convergence rate on the number of levels. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 829-845
• Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong: A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation. (English). Applications of Mathematics, vol. 61 (2016), issue 1, pp. 27-45
• Oswald, Peter: Divergence of FEM: Babuška-Aziz triangulations revisited. (English). Applications of Mathematics, vol. 60 (2015), issue 5, pp. 473-484
• 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
• 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
• Gerardo-Giorda, Luca: Numerical approximation of density dependent diffusion in age-structured population dynamics. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 88-97
• 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
• Drobek, Jaroslav: Approximations by the Cauchy-type integrals with piecewise linear densities. (English). Applications of Mathematics, vol. 57 (2012), issue 6, pp. 627-640
• Zhang, Tie; Zhang, Shuhua; Azari, Hossein: Finite element analysis for a regularized variational inequality of the second kind. (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. 317-331
• Ludwig, Lars; Roos, Hans-Görg: Superconvergence for convection-diffusion problems with low regularity. (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. 173-187
• Zhang, Tie; Zhang, Shuhua: Finite element derivative interpolation recovery technique and superconvergence. (English). Applications of Mathematics, vol. 56 (2011), issue 6, pp. 513-531
• Brandts, Jan; Korotov, Sergey; Křížek, Michal: Generalization of the Zlámal condition for simplicial finite elements in ${\Bbb R}^d$. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 417-424
• Breuss, Michael; Cristiani, Emiliano; Durou, Jean-Denis; Falcone, Maurizio; Vogel, Oliver: Numerical algorithms for perspective shape from shading. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 207-225
• Brandts, Jan H.: Analysis of a non-standard mixed finite element method with applications to superconvergence. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 225-235
• 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
• Lin, Runchang; Zhang, Zhimin: Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 251-266
• Knobloch, Petr: On a variant of the local projection method stable in the SUPG norm. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 634-645
• 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
• Yazaki, Shigetoshi: On the tangential velocity arising in a crystalline approximation of evolving plane curves. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 913-918
• Brandts, Jan; Korotov, Sergey; Křížek, Michal: Simplicial finite elements in higher dimensions. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 251-265
• Roos, Hans-Görg: Error estimates for linear finite elements on Bakhvalov-type meshes. (English). Applications of Mathematics, vol. 51 (2006), issue 1, pp. 63-72
• Prachař, Aleš: On discontinuous Galerkin method and semiregular family of triangulations. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 605-618
• Knobloch, Petr: On stability of the $P^{\rm mod}_ n/P_ n$ element for incompressible flow problems. (English). Applications of Mathematics, vol. 51 (2006), issue 5, pp. 473-493
• Strouboulis, Theofanis; Hidajat, Realino: Partition of unity method for Helmholtz equation: $q$-convergence for plane-wave and wave-band local bases. (English). Applications of Mathematics, vol. 51 (2006), issue 2, pp. 181-204
• Eymard, R.; Gallouët, T.; Herbin, R.; Latché, J.-C.: Analysis tools for finite volume schemes. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 111-136
• Pultarová, Ivana: The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions. (English). Applications of Mathematics, vol. 50 (2005), issue 3, pp. 323-329
• Ansorge, Rainer: Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 417-427
• Zlámal, Miloš: Finite element solution of the fundamental equations of semiconductor devices. II. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 251-294
• Feistauer, Miloslav; Najzar, Karel; Sobotíková, Veronika: On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains. (English). Applications of Mathematics, vol. 46 (2001), issue 5, pp. 353-382
• Zlámalová, Jana: Semiregular finite elements in solving some nonlinear problems. (English). Applications of Mathematics, vol. 46 (2001), issue 1, pp. 53-77
• Ženíšek, Alexander; Hoderová-Zlámalová, Jana: Semiregular hermite tetrahedral finite elements. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 295-315
• Zhu, Qiding: A review of two different approaches for superconvergence analysis. (English). Applications of Mathematics, vol. 43 (1998), issue 6, pp. 401-411
• Melkes, František; Ženíšek, Alexander: On a certain two-sided symmetric condition in magnetic field analysis and computations. (English). Applications of Mathematics, vol. 42 (1997), issue 2, pp. 147-159
• Roos, Hans-Görg; Stynes, Martin: Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers. (English). Applications of Mathematics, vol. 41 (1996), issue 4, pp. 269-280
• Hoppe, Ronald H.W.; Wohlmuth, Barbara: Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. (English). Applications of Mathematics, vol. 40 (1995), issue 3, pp. 227-248
• Pospíšek, Miroslav: Nonlinear boundary value problems with application to semiconductor device equations. (English). Applications of Mathematics, vol. 39 (1994), issue 4, pp. 241-258
• Heinrichs, Wilhelm: Spectral methods for singular perturbation problems. (English). Applications of Mathematics, vol. 39 (1994), issue 3, pp. 161-188
• Douglas, Jim; Hensley, Jeffrey L.; Roberts, Jean E.: An alternating-direction iteration method for Helmholtz problems. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 289-300
• Babuška, Ivo: On the $h$, $p$ and $h$ - $p$ version of the finite element method. (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. 5-18
• Hlaváček, Ivan: Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 225-236
• Lazarov, R. D.; Pehlivanov, A. I.: Local superconvergence analysis of the approximate boundary-flux calculation. (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. 275-278
• Jovanovič, Boško S.: Aппроксимация обобщенных решений с помощью конечных разностей. (Russian) [Approximation of generalized solutions by means of finite differences]. Archivum Mathematicum, vol. 23 (1987), issue 1, pp. 9-14
• Práger, Milan: The method of fictitious right-hand sides. (English). Aplikace matematiky, vol. 29 (1984), issue 5, pp. 384-389
• Roubíček, Tomáš: Unconditional stability of difference formulas. (English). Aplikace matematiky, vol. 28 (1983), issue 2, pp. 81-90
• Dinh, Ta Van: Some fast finite-difference solvers for Dirichlet problems on general domains. (English). Aplikace matematiky, vol. 27 (1982), issue 4, pp. 237-242
• Dinh, Ta Van: Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 313-318
• Janovský, V.; Marek, I.; Neuberg, J.: Maxwell's equations with incident wave as a field source. (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. 237-240
• Marek, I.: A reduction method for approximate solving large elliptic systems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 97-102
• Fox, L.: Two free-boundary problems with singularities. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 19-23