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65M12 Stability and convergence of numerical methods (29 articles)

• Havle, Oto; Dolejší, Vít; Feistauer, Miloslav: Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 353-372
• Lin, Qun; Liu, Tang; Zhang, Shuhua: Superconvergence estimates of finite element methods for American options. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 181-202
• Jia, Shanghui; Li, Deli; Liu, Tang; Zhang, Shuhua: Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media. (English). Applications of Mathematics, vol. 53 (2008), issue 1, pp. 13-39
• Handlovičová, Angela; Mikula, Karol: Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation. (English). Applications of Mathematics, vol. 53 (2008), issue 2, pp. 105-129
• Oberhuber, Tomáš: Finite difference scheme for the Willmore flow of graphs. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 855-867
• Krivá, Zuzana: Finite-volume level set method and its adaptive version in completing subjective contours. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 509-522
• 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
• Handlovičová, Angela: Perona-Malik equation: properties of explicit finite volume scheme. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 523-532
• Feistauer, Miloslav; Hájek, Jaroslav; Švadlenka, Karel: Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 197-233
• Lukáčová-Medviďová, Mária; Saibertová-Zatočilová, Jitka: Finite volume schemes for multi-dimensional hyperbolic systems based on the use of bicharacteristics. (English). Applications of Mathematics, vol. 51 (2006), issue 3, pp. 205-228
• 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
• Oberhuber, Tomáš: Computational study of the Willmore flow on graphs. (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. 321-331
• Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte: Numerical blow-up for the $p$-Laplacian equation with a nonlinear source. (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. 363-367
• Tomoeda, Kenji: Support re-splitting phenomena caused by an interaction between diffusion and absorption. (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. 499-506
• Kikuchi, N.; Kačur, J.: Convergence of Rothe's method in Hölder spaces. (English). Applications of Mathematics, vol. 48 (2003), issue 5, pp. 353-365
• Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka: Galerkin approximations for the linear parabolic equation with the third boundary condition. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 111-128
• Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří; Kliková, Alice: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 4, pp. 301-340
• Becker, Jürgen; Grün, Günther; Lenz, Martin; Rumpf, Martin: Numerical methods for fourth order nonlinear degenerate diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 6, pp. 517-543
• 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
• Říhová-Škabrahová, Dana: Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition. (English). Applications of Mathematics, vol. 46 (2001), issue 2, pp. 103-144
• Angot, Philippe; Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří: Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 263-310
• Lukáčová-Medviďová, Mária: Combined finite element -- finite volume method (convergence analysis). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 717-741
• Lin, Qun; Zhang, Shuhua: A direct global superconvergence analysis for Sobolev and viscoelasticity type equations. (English). Applications of Mathematics, vol. 42 (1997), issue 1, pp. 23-34
• Lukáčová-Medviďová, Mária: Numerical solution of compressible flow. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 201-210
• Dalík, Josef; Růžičková, Helena: An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 367-380
• Taufer, J.; Vitásek, E.: $A$-stability and numerical solution of abstract differential equations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [415]-423
• Gupta, Murli M.: Stability of iterative schemes for nonselfadjoint equations. (English). Aplikace matematiky, vol. 21 (1976), issue 3, pp. 173-184
• Práger, M.; Taufer, J.; Vitásek, E.: Overimplicit methods for the solution of evolution problems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 125-133
• Rektorys, Karel: Application of the Ritz method to the solution of parabolic boundary value problems of arbitrary order in the space variables. (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. 255-260