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65M06 Finite difference methods (37 articles)

• Han, Wonho; Kim, Kwangil; Hong, Unhyok: Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. (English). Applications of Mathematics, vol. 68 (2023), issue 5, pp. 661-684
• Luo, Yuesheng; Xing, Ruixue; Li, Xiaole: A new energy conservative scheme for regularized long wave equation. (English). Applications of Mathematics, vol. 66 (2021), issue 5, pp. 745-765
• 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
• Klesa, Jan: Numerical stability of the intrinsic equations for beams in time domain. (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. 71-80
• Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele: Reliable numerical modelling of malaria propagation. (English). Applications of Mathematics, vol. 63 (2018), issue 3, pp. 259-271
• 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
• Tomoeda, Kenji: Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption. (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. 359-368
• Szekeres, Béla J.; Izsák, Ferenc: Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 15-36
• Kósa, Balázs; Haličková-Brehovská, Jana; Mikula, Karol: New efficient numerical method for 3D point cloud surface reconstruction by using level set methods. (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. 387-396
• Beilina, Larisa; Hosseinzadegan, Samar: An adaptive finite element method in reconstruction of coefficients in Maxwell's equations from limited observations. (English). Applications of Mathematics, vol. 61 (2016), issue 3, pp. 253-286
• Horňák, Ivan; Přikryl, Jan: Experimental comparison of traffic flow models on traffic data. (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. 86-91
• Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan: Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection. (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. 248-256
• Soheili, Ali R.; Arezoomandan, Mahdieh: Approximation of stochastic advection diffusion equations with stochastic alternating direction explicit methods. (English). Applications of Mathematics, vol. 58 (2013), issue 4, pp. 439-471
• Krupička, Lukáš; Štefan, Radek; Beneš, Michal: Coupled heat transport and Darcian water flow in freezing soils. (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. 130-135
• Azari, Hossein; Parzlivand, F.; Zhang, Shuhua: A mesh free numerical method for the solution of an inverse heat problem. (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. 14-30
• Šebestová, Ivana; Dolejší, V.: A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 53 (2012), issue 1, pp. 77-94
• 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
• Azari, Hossein; Zhang, Shuhua: Global superconvergence of finite element methods for parabolic inverse problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 285-294
• N’gohisse, Firmin K.; Boni, Théodore K.: Quenching time of some nonlinear wave equations. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 115-124
• Chocholatý, Pavol: Influence of linearization to the solution of Fisher's equation in a plane. (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. 71-76
• Nabongo, Diabate; Boni, Théodore K.: Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 463-475
• 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
• Balazovjech, Martin; Halada, Ladislav: Effective computation of restoring force vector in finite element method. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 767-776
• 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
• John, Volker: On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows. (English). Applications of Mathematics, vol. 51 (2006), issue 4, pp. 321-353
• Dalík, Josef; Svoboda, Jiří: Numerical modeling of the simultaneous heat and moisture transfer. (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. 49-55
• Kačur, Jozef; Keer, Roger Van: Contaminant transport with adsorption in dual-well flow. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 525-536
• 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
• Fürst, J.; Kozel, K.: Numerical solution of inviscid and viscous flows using modern schemes and quadrilateral or triangular mesh. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 379-393
• Purcz, Pavol: Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation. (English). Kybernetika, vol. 37 (2001), issue 2, pp. [171]-181
• Ayrjan, Edik A.; Hayryan, Shura; Hu, Chin-Kun; Pokorný, Imrich; Puzynin, Igor V.: Parallel realization of the finite difference method solution of the Poisson-Boltzmann equation. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 17-20
• Chalupecký, Vladimír; Beneš, Michal: Some applications of parabolic differential equations of Allen-Cahn type in image processing. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 83-101
• Kärkkäinen, Tommi: Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 259-277
• 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
• Kalis, H.: Special finite-difference approximations of flow equations in terms of stream function, vorticity and velocity components for viscous incompressible liquid in curvilinear orthogonal coordinates. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 165-174
• 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
• Janenko, N. N.: On some problems of the theory of the difference schemes. (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. 43-50