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65M20 Method of lines (38 articles)

• Vala, Jiří: Numerical approaches to the modelling of quasi-brittle crack propagation. (English). Archivum Mathematicum, vol. 59 (2023), issue 3, pp. 295-303
• Jo, Yong-Hyok; Ri, Myong-Hwan: Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition. (English). Applications of Mathematics, vol. 67 (2022), issue 5, pp. 573-592
• Zhang, Chun-Hua; Jin, Jun-Wei; Sun, Hai-Wei; Sheng, Qin: A spatially sixth-order hybrid $L1$-CCD method for solving time fractional Schrödinger equations. (English). Applications of Mathematics, vol. 66 (2021), issue 2, pp. 213-232
• Vala, Jiří: On some composite schemes of time integration in structural dynamics. (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. 159-168
• Hoang, Dieu Hung; Beneš, Michal: Forced anisotropic mean curvature flow of graphs in relative geometry. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 429-436
• Vondrák, Jan: New model of precession, valid in time interval 400 thousand years. (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. 290-299
• Rashid, Abdur; Akram, Shakaib: Convergence of Fourier spectral method for resonant long-short nonlinear wave interaction. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 337-350
• 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
• Kuliev, Komil; Persson, Lars-Erik: An extension of Rothe's method to non-cylindrical domains. (English). Applications of Mathematics, vol. 52 (2007), issue 5, pp. 365-389
• Oberhuber, Tomáš: Finite difference scheme for the Willmore flow of graphs. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 855-867
• 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
• Kikuchi, N.; Kačur, J.: Convergence of Rothe's method in Hölder spaces. (English). Applications of Mathematics, vol. 48 (2003), issue 5, pp. 353-365
• Vejchodský, Tomáš: Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 129-151
• Šolín, Pavel; Segeth, Karel: Description of the multi-dimensional finite volume solver EULER. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 169-185
• Janovský, Vladimír; Just, David: On a 1-D model of stress relaxation in an annealed glass. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 115-125
• Brandts, Jan H.: A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 407-419
• Segeth, Karel: A posteriori error estimates for a nonlinear parabolic equation. (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. 255-262
• Pluschke, Volker: Rothe's method for degenerate quasilinear parabolic equations. (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. 247-254
• Dzurenda, Peter: The use of linear approximation scheme for solving the Stefan problem. (English). Applications of Mathematics, vol. 42 (1997), issue 1, pp. 35-56
• Hlavička, Rudolf: Finite element solution of a hyperbolic-parabolic problem. (English). Applications of Mathematics, vol. 39 (1994), issue 3, pp. 215-239
• Weisz, J.: On a method for a-posteriori error estimation of approximate solutions to parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 735-740
• Segeth, Karel: A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 415-443
• Segeth, Karel: Grid adjustment based on a posteriori error estimators. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 488-504
• Slodička, Marián: Semigroup formulation of Rothe's method: application to parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 245-260
• Slodička, Marian: Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 4, pp. 703-713
• Slodička, Marián: An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation. (English). Aplikace matematiky, vol. 35 (1990), issue 1, pp. 16-27
• Lauerová, Dana: The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics. (English). Aplikace matematiky, vol. 35 (1990), issue 2, pp. 89-98
• Slodička, Marián: Application of Rothe's method to evolution integrodifferential systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 1, pp. 57-70
• Slodička, Marián: Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 439-448
• Holodniok, M.; Kubíček, M.: Numerical aspects of computation of periodic and quasiperiodic solutions in systems of partial 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. 260-264
• Slodička, Marián: Smoothing effect and regularity for evolution integrodifferential systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 303-316
• Martensen, E.: Uniqueness of the Rothe method for the Burgers equation with piecewise continuous initial data. (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. 281-284
• Filo, Ján: A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines. (English). Mathematica Slovaca, vol. 38 (1988), issue 3, pp. 273-296
• Kačur, Jozef; Ženíšek, Alexander: Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems. (English). Aplikace matematiky, vol. 31 (1986), issue 3, pp. 190-223
• Martensen, Erich: The ROTHE method for nonlinear hyperbolic problems. (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. [387]-392
• Pultar, Milan: Solutions of abstract hyperbolic equations by Rothe method. (English). Aplikace matematiky, vol. 29 (1984), issue 1, pp. 23-39
• Rektorys, Karel: The method of discretization in time and partial 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. 293-296
• Kačur, Jozef: Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order. (English). Czechoslovak Mathematical Journal, vol. 28 (1978), issue 4, pp. 507-524