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65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocation methods (23 articles)

• Elemine Vall, Mohamed Saad Bouh; Ahmed, Ahmed; Touzani, Abdelfattah; Benkirane, Abdelmoujib: Entropy solutions to parabolic equations in Musielak framework involving non coercivity term in divergence form. (English). Mathematica Bohemica, vol. 143 (2018), issue 3, pp. 225-249
• 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
• Edrisi Tabriz, Yousef; Lakestani, Mehrdad: Direct solution of nonlinear constrained quadratic optimal control problems using B-spline functions. (English). Kybernetika, vol. 51 (2015), issue 1, pp. 81-98
• Vlasák, Miloslav; Roskovec, Filip: On Runge-Kutta, collocation and discontinuous Galerkin methods: Mutual connections and resulting consequences to the analysis. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 231-236
• Linß, Torsten: A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems. (English). Applications of Mathematics, vol. 59 (2014), issue 3, pp. 241-256
• Harasim, Petr; Valdman, Jan: Verification of functional a posteriori error estimates for obstacle problem in 2D. (English). Kybernetika, vol. 50 (2014), issue 6, pp. 978-1002
• Larsson, Stig; Lindberg, Carl; Warfheimer, Marcus: Optimal closing of a pair trade with a model containing jumps. (English). Applications of Mathematics, vol. 58 (2013), issue 3, pp. 249-268
• Harasim, Petr; Valdman, Jan: Verification of functional a posteriori error estimates for obstacle problem in 1D. (English). Kybernetika, vol. 49 (2013), issue 5, pp. 738-754
• Madden, Niall; Stynes, Martin: A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion 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. 188-196
• Jokar, Mahmood; Lakestani, Mehrdad: Numerical solution of second order one-dimensional linear hyperbolic equation using trigonometric wavelets. (English). Kybernetika, vol. 48 (2012), issue 5, pp. 939-957
• Mošová, Vratislava: Reproducing kernel particle method and its modification. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 383-392
• Mošová, Vratislava: Numerical solution of boundary value problems by means of B-splines. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 157-163
• Harasim, Petr: On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation. (English). Applications of Mathematics, vol. 53 (2008), issue 6, pp. 583-598
• Dalík, Josef: Local interpolation by a quadratic Lagrange finite element in 1D. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 103-114
• Zhang, Shuhua; Lin, Tao; Lin, Yanping; Rao, Ming: Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. (English). Applications of Mathematics, vol. 45 (2000), issue 4, pp. 241-263
• Dziuk, Gerhard; Hutchinson, John E.: A finite element method for the computation of parametric minimal surfaces. (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. 49-62
• Axelsson, Owe: On mesh independence and Newton-type methods. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 249-265
• Heinrichs, Wilhelm: Strong convergence estimates for pseudospectral methods. (English). Applications of Mathematics, vol. 37 (1992), issue 6, pp. 401-417
• Dalík, Josef: A Petrov-Galerkin approximation of convection-diffusion and reaction-diffusion problems. (English). Applications of Mathematics, vol. 36 (1991), issue 5, pp. 329-354
• Křížková, Jitka: Special exact curved finite elements. (English). Applications of Mathematics, vol. 36 (1991), issue 2, pp. 81-95
• Blaheta, Radim: A multilevel method with correction by aggregation for solving discrete elliptic problems. (English). Aplikace matematiky, vol. 31 (1986), issue 5, pp. 365-378
• Descloux, J.; Rappaz, J.: Numerical approximation of a nonlinear Sturm-Liouville problem on an infinite interval. (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. 81-83
• Babuška, Ivo: Numerische Stabilität des Ritzschen Verfahrens. (German) [Numerical stability of the Ritz method]. Aplikace matematiky, vol. 10 (1965), issue 3, pp. 196-199