著書
- Seiro Omata, Karel Svadlenka, Elliott Ginder: Variational Approach to Hyperbolic Free Boundary Problems, Springer Singapore, 2022. (リンク)
- 京都大学大学院理学研究科MACS教育プログラム実行委員会 著,京大式サイエンスの創り方:狙ってもできないことがある,京都大学学術出版会, 2022. (リンク)
論文リスト
- D. Drozdenko, M. Knapek, M. Kruzik, K. Mathis, K. Svadlenka, J. Valdman: Elastoplastic deformations of layered structures, Milan Journal of Mathematics 90, pp. 691-706, 2022.
- Rhudaina Z. Mohammad, Hideki Murakawa, Karel Svadlenka, Hideru Togashi: A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis, Communications Biology 5, 239, 2022.
- Siddharth Gavhale, Karel Svadlenka: Dewetting dynamics of anisotropic particles – a level set numerical approach, Applications of Mathematics 67(5), pp. 543-571, 2022.
- Yoshiho Akagawa, Elliott Ginder, Syota Koide, Seiro Omata, Karel Svadlenka: A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem, Discrete and Continuous Dynamical Systems Series B 27(5), pp. 2661-2681, 2022.
- Nur Shofianah, K. Svadlenka, R.Z. Mohammad: Numerical method for the simulation of contact angle dynamics, AIP Conference Proceedings 1913:1, 2017.
- E.Ginder, A.Katayma, K.Svadlenka: On an approximation method for hyperbolic mean curvature flow, RIMS Kokyuroku 1995, pp.1-8, 2016.
- E. Ginder, K. Svadlenka: Wave-type threshold dynamics and the hyperbolic mean curvature flow, Japan J. Indust. Appl. Math., Vol. 33, No. 2, pp. 501–523, 2016.
- E. Ginder, K. Svadlenka: 変分法による界面運動のシミュレーション,計算工学,Vol. 20, No. 3, pp. 5-8, 2015.
- K. Svadlenka: Generalization of a numerical scheme for curvature driven interface motion, Proceedings of Computational Engineering Conference JSCES, Vol. 20, 2015.
- R.Z. Mohammad, K. Svadlenka: On a penalization method for an evolutionary free boundary problem with volume constraint, Advances in Mathematical Sciences and Applications, Vol. 24, No. 1, pp. 85-101, 2014.
- R.Z. Mohammad, K. Svadlenka: Multiphase volume-preserving interface motions via localized signed distance vector scheme, Discrete and Continuous Dynamical Systems – Series S, Vol. 8, No. 1, pp. 969-988, 2015.
- Nur Shofianah, R.Z. Mohammad, K. Svadlenka: Simulation of triple junction motion with arbitrary surface tensions, IAENG International Journal of Applied Mathematics, Vol. 45, No. 3, pp. 235-244, 2015.
- E. Ginder, K. Svadlenka: On an algorithm for curvature-dependent interfacial acceleration, Proceedings of Computational Engineering Conference JSCES, Vol. 19, 2014.
- N. Shofianah, R.Z. Mohammad, K. Svadlenka: On a numerical method for the simulation of contact angle dynamics, Proceedings of Computational Engineering Conference JSCES, Vol. 19, 2014.
- K. Svadlenka, E. Ginder, S. Omata: A variational method for multiphase volume-preserving interface motions, Journal of Computational and Applied Mathematics, Vol. 257, pp. 157-179, 2014.
- M. Kazama, S. Omata, T. Nagasawa, A. Kikuta, K. Svadlenka: A global model for impact of elastic shells and its numerical implementation, Advances in Mathematical Sciences and Applications, Vol. 23 No. 1, pp. 93-108, 2013.
- E. Ginder, S. Omata, K. Svadlenka: On a minimizing movement for diffusion-generated interfacial motions, RIMS Kokyuroku 1791, pp. 189-195, 2012.
- R. Z. Mohammad, K. Svadlenka: Diffusion-generated volume-preserving motions: A comparison of MBO-variant algorithms, Proceedings of Computational Engineering Conference JSCES, Vol. 17, 2012.
- E. Ginder, K. Svadlenka: The discrete Morse flow for volume-constrained membrane motions, Advances in Mathematical Sciences and Applications, Vol. 22, No. 1, pp. 205-223, 2012.
- E. Ginder, S. Omata, K. Svadlenka: Numerical computation of volume preserving multiphase mean curvature flow, Proceedings of Computational Engineering Conference JSCES, Vol. 16, 2011.
- E. Ginder, S. Omata, K. Svadlenka: A variational method for diffusion-generated area preserving interface motion, Theoretical and Applied Mechanics Japan, Vol. 60, pp. 265-270, 2011.
- S. Omata, M. Kazama, K. Svadlenka: Numerical computation of coupled problems comprising elastic membrane, Proceedings of Computational Engineering Conference JSCES, Vol. 15, No. 2, pp. 697-700, 2010.
- K. Svadlenka, S. Omata: Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface, Indiana Univ. Math. J., Vol. 58, No. 5, pp. 2073-2102, 2009.
- E. Ginder, K. Svadlenka: A variational approach to a constrained hyperbolic free boundary problem, Nonlinear Anal., Theory Methods Appl., Vol. 71, No. 12, pp. 1527-1537, 2009.
- K. Svadlenka, S. Omata: Modelling and analysis of droplet motion on a plane, COE Lecture Note, Vol. 14, Faculty of Mathematics, Kyushu University, pp. 60-71, 2008.
- K. Svadlenka, S. Omata: Mathematical modelling of surface vibration with volume constraint and its analysis, Nonlinear Anal., Theory Methods Appl., Vol. 69, No. 9, pp. 3202-3212, 2008.
- K. Ito, M. Kazama, H. Nakagawa, K. Svadlenka: Numerical solution of a volume-constrained free boundary problem by the discrete Morse flow method, Gakuto International Series, Mathematical Sciences and Application, Vol. 29, pp. 383-398, 2008.
- K. Svadlenka: A new numerical model for propagation of tsunami waves, Kybernetika, Vol. 43, No. 6, pp. 893-902, 2007.
- K. Svadlenka, S. Omata: Construction of solutions to heat-type problems with volume constraint via the discrete Morse flow, Funkc. Ekvacioj, Vol. 50, No. 2, pp. 261-285, 2007.
- M. Feistauer, J. Hajek, K. Svadlenka: Space-time discontinuous Galerkin method for solving nonstationary convection-diffusion-reaction problems, Appl. Math., Praha, Vol. 52, No. 3, pp. 197-233, 2007.
- T. Yamazaki, S. Omata, K. Svadlenka, K. Ohara: Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation, Adv. Math. Sci. Appl., Vol. 16, No. 1, pp. 57-67, 2006.
- H. Yoshiuchi, S. Omata, K. Svadlenka, K. Ohara: Numerical solution of film vibration with obstacle, Adv. Math. Sci. Appl., Vol. 16, No. 1, pp. 33-43, 2006.
- M. Feistauer, K. Svadlenka: Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems, J. Numer. Math., Vol. 12, No. 2, pp. 97-117, 2004.
- M. Feistauer, K. Najzar, K. Svadlenka: On a parabolic problem with nonlinear Newton boundary conditions, Commentat. Math. Univ. Carol., Vol. 43, No. 3, pp. 429-455, 2002.