教員イメージ
SVADLENKA Karel
教授

SVADLENKA Karel シュワドレンカ カレル しゅわどれんか かれる

プロフィール

所属

東京都立大学理学部 数理科学科
理学研究科 数理科学専攻

最終学歴・学位

金沢大学自然科学研究科・博士(理学)(2008年3月)
Charles University in Prague・PhD (mathematics) (2008年10月)

専門・研究分野

変分解析・偏微分方程式論・応用数学・数値解析

研究

研究テーマ

無限次元空間における最適化問題の数学解析と数値計算の研究を行なっている.特に,双曲型自由境界問題のように,解析が難しいとされる偏微分方程式を最適化問題として見ることで数学的に理解できる手法に注目している.これに加え,新材料の開発から病気の治療まで,周りの現象や課題を変分問題として記述し,数学的に解析したり数値シミュレーションしたりすることで,これらの問題の理解や解決に数学の力で寄与することを目指す研究もしている.

研究キーワード

変分法,最適化,非線型偏微分方程式,自由境界問題,界面運動,有限要素法,数値計算,数理モデリング

詳細情報

著書
1. S. Omata, K. Svadlenka, E. Ginder: Variational Approach to Hyperbolic Free Boundary Problems,SpringerBriefs in Mathematics, Springer, 2022.
2. 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,共著,編者: 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,京都大学学術出版会,ISBN :978-4-8140-0408-9, 2022.

査読付き論文
1. M. Feistauer, K. Najzar, K. Svadlenka: On a parabolic problem with nonlinear Newton boundary conditions, Commentationes Mathematicae Universitatis Carolinae, Vol. 43, No. 3, pp. 429-455, 2002.
2. M. Feistauer, K. Svadlenka: Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems, Journal of Numerical Mathematics, Vol. 12, No. 2, pp. 97-117, 2004.
3. H. Yoshiuchi, S. Omata, K. Svadlenka, K. Ohara: Numerical solution of film vibration with obstacle, Advances in Mathematical Sciences and Applications, Vol. 16, No. 1, pp. 33-43, 2006.
4. 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, Advances in Mathematical Sciences and Applications, Vol. 16, No. 1, pp. 57-67, 2006.
5. M. Feistauer, J. Hájek, K. Svadlenka: Space-time discontinuous Galerkin method for solving nonstationary convection-diffusion-reaction problems, Applications of Mathematics, Praha, Vol. 52, No. 3, pp. 197-233, 2007.
6. K. Svadlenka, S. Omata: Construction of solutions to heat-type problems with volume constraint via the discrete Morse flow, Funkcialaj Ekvacioj, Vol. 50, No. 2, pp. 261-285, 2007.
7. K. Svadlenka: A new numerical model for propagation of tsunami waves, Kybernetika, Vol. 43, No. 6, pp. 893-902, 2007.
8. 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.
9. K. Svadlenka, S. Omata: Mathematical modelling of surface vibration with volume constraint and its analysis, Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, No. 9, pp. 3202-3212, 2008.
10. 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.
11. E. Ginder, K. Svadlenka: A variational approach to a constrained hyperbolic free boundary problem, Nonlinear Analysis, Theory, Methods and Applications, Vol. 71, No. 12, pp. 1527-1537, 2009.
12. K. Svadlenka, S. Omata: Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface, Indiana University Mathematics Journal, Vol. 58, No. 5, pp. 2073-2102, 2009.
13. 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.
14. 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.
15. E. Ginder, S. Omata, K. Svadlenka: Numerical computation of volume preserving multiphase mean curvature flow, Proceedings of Computational Engineering Conference JSCES, Vol. 16, 2011.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. E. Ginder, K. Svadlenka: On an algorithm for curvature-dependent interfacial acceleration, Proceedings of Computational Engineering Conference JSCES, Vol. 19, 2014.
22. 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.
23. 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.
24. 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.
25. K. Svadlenka: 曲率による界面運動の数値解法の一般化,計算工学講演会論文集 Vol. 20, 2015.
26. E. Ginder, K. Svadlenka: Wave-type threshold dynamics and the hyperbolic mean curvature flow, Japan Journal of Industrial and Applied Mathematics, Vol. 33, No. 2, pp. 501-523, 2016.
27. Nur Shofianah, K. Svadlenka, R.Z. Mohammad: Numerical method for the simulation of contact angle dynamics, AIP Conference Proceedings 1913:1, 2017.
28. S. Gavhale, K. Svadlenka: Dewetting dynamics of anisotropic particles – a level set numerical approach, Applications of Mathematics 67(5), pp. 543-571, 2022.
29. Y. Akagawa, E. Ginder, S. Koide, S. Omata, K. Svadlenka: A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem, Discrete and Continuous Dynamical Systems Series B, Vol. 27, No. 5, pp. 2661-2681, 2022.
30. R.Z. Mohammad, H. Murakawa, K. Svadlenka, H. Togashi: A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis, Communications Biology, Vol. 5, Article No. 239, 2022.
31. D. Drozdenko, M. Knapek, M. Kruzik, K. Mathis, K. Svadlenka, J. Valdman: Elastoplastic deformations of layered structure, Milan Journal of Mathematics 90, pp. 691-706, 2022.
日本数学会会員,
日本応用数理学会会員,
Society for Industrial and Applied Mathematics会員
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連絡先

研究室

8号館625号室

オフィスアワー

月曜日4限

内線番号

内線3146

メールアドレス

karel●tmu.ac.jp
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