Kobayashi, Shunsuke; Yazaki, Shigetoshi Convergence of a finite difference scheme for a flame/smoldering-front evolution equation and its application to wavenumber selection. (English) Zbl 1514.65104 Comput. Methods Appl. Math. 23, No. 2, 545-563 (2023). MSC: 65M06 65M12 35R37 37N30 80A25 PDFBibTeX XMLCite \textit{S. Kobayashi} and \textit{S. Yazaki}, Comput. Methods Appl. Math. 23, No. 2, 545--563 (2023; Zbl 1514.65104) Full Text: DOI
Shimoji, Yusaku; Yazaki, Shigetoshi Numerical computation for magnetic Hele-Shaw problem using the method of fundamental solutions. (English) Zbl 1511.76086 JSIAM Lett. 15, 29-32 (2023). MSC: 76M99 76D27 76W05 76E17 65M80 PDFBibTeX XMLCite \textit{Y. Shimoji} and \textit{S. Yazaki}, JSIAM Lett. 15, 29--32 (2023; Zbl 1511.76086) Full Text: DOI
Sakakibara, Koya; Shimoji, Yusaku; Yazaki, Shigetoshi A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions. (English) Zbl 1513.76075 Japan J. Ind. Appl. Math. 39, No. 3, 869-887 (2022). MSC: 76D27 76E25 65N80 65N35 35J05 PDFBibTeX XMLCite \textit{K. Sakakibara} et al., Japan J. Ind. Appl. Math. 39, No. 3, 869--887 (2022; Zbl 1513.76075) Full Text: DOI arXiv
Pauš, Petr; Yazaki, Shigetoshi Segmentation of color images using mean curvature flow and parametric curves. (English) Zbl 1477.68519 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 1123-1132 (2021). Reviewer: Krzysztof Gdawiec (Sosnowiec) MSC: 68U10 65D18 PDFBibTeX XMLCite \textit{P. Pauš} and \textit{S. Yazaki}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 1123--1132 (2021; Zbl 1477.68519) Full Text: DOI
Goto, Maika; Kuwana, Kazunori; Yazaki, Shigetoshi A simple and fast numerical method for solving flame/smoldering evolution equations. (English) Zbl 1437.65096 JSIAM Lett. 10, 49-52 (2018). MSC: 65M06 65M12 76E30 PDFBibTeX XMLCite \textit{M. Goto} et al., JSIAM Lett. 10, 49--52 (2018; Zbl 1437.65096) Full Text: DOI
Sakakibara, Koya; Yazaki, Shigetoshi Method of fundamental solutions with weighted average condition and dummy points. (English) Zbl 1412.65236 JSIAM Lett. 9, 41-44 (2017). MSC: 65N80 65N35 PDFBibTeX XMLCite \textit{K. Sakakibara} and \textit{S. Yazaki}, JSIAM Lett. 9, 41--44 (2017; Zbl 1412.65236) Full Text: DOI
Sakakibara, Koya; Yazaki, Shigetoshi On invariance of schemes in the method of fundamental solutions. (English) Zbl 1375.65170 Appl. Math. Lett. 73, 16-21 (2017). MSC: 65N80 35J25 65F35 PDFBibTeX XMLCite \textit{K. Sakakibara} and \textit{S. Yazaki}, Appl. Math. Lett. 73, 16--21 (2017; Zbl 1375.65170) Full Text: DOI
Pauš, Petr; Yazaki, Shigetoshi Exact solution for dislocation bowing and a posteriori numerical technique for dislocation touching-splitting. (English) Zbl 1461.35143 JSIAM Lett. 7, 57-60 (2015). MSC: 35K93 35C05 35K55 65N08 53E10 PDFBibTeX XMLCite \textit{P. Pauš} and \textit{S. Yazaki}, JSIAM Lett. 7, 57--60 (2015; Zbl 1461.35143) Full Text: DOI
Yazaki, Shigetoshi A numerical scheme for the Hele-Shaw flow with a time-dependent gap by a curvature adjusted method. (English) Zbl 1421.76165 Ei, Shin-Ichiro (ed.) et al., Nonlinear dynamics in partial differential equations. Proceedings of the 4th MSJ-SI international conference, Kyushu, Japan, September 12–21, 2011. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 64, 253-261 (2015). MSC: 76M15 65M38 76D27 35R37 PDFBibTeX XMLCite \textit{S. Yazaki}, Adv. Stud. Pure Math. 64, 253--261 (2015; Zbl 1421.76165)
Nakamura, Ken-Ichi (ed.); Yazaki, Shigetoshi (ed.); Ishiwata, Tetsuya (ed.) Special issue: Selected papers based on the presentations at the RIMS workshop ‘Mathematical and numerical analysis for interface motion in nonlinear phenomena’, Kyoto, Japan, July 12–14, 2011. (English) Zbl 1282.65010 RIMS Kôkyûroku Bessatsu B35, 157 p. (2012). MSC: 65-06 65Z05 76R50 00B25 PDFBibTeX XML
Ševčovič, Daniel; Yazaki, Shigetoshi Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity. (English) Zbl 1255.35148 Math. Methods Appl. Sci. 35, No. 15, 1784-1798 (2012). MSC: 35K65 65N40 53C80 PDFBibTeX XMLCite \textit{D. Ševčovič} and \textit{S. Yazaki}, Math. Methods Appl. Sci. 35, No. 15, 1784--1798 (2012; Zbl 1255.35148) Full Text: DOI arXiv
Beneš, Michal (ed.); Kimura, Masato (ed.); Yazaki, Shigetoshi (ed.) Proceedings of the Czech-Japanese seminar in applied mathematics 2010, Prague and Telč, Czech Republic, August 30–September 4, 2010. (English) Zbl 1233.65006 COE Lecture Note 36. Fukuoka: Kyushu University, Institute of Mathematics for Industry. iii, 108 p. (2012). MSC: 65-06 00A69 00A71 00A72 65Z99 00B25 PDFBibTeX XMLCite \textit{M. Beneš} (ed.) et al., Proceedings of the Czech-Japanese seminar in applied mathematics 2010, Prague and Telč, Czech Republic, August~30--September 4, 2010. Fukuoka: Kyushu University, Institute of Mathematics for Industry (2012; Zbl 1233.65006)
Beneš, M.; Yazaki, S.; Kimura, M. Computational studies of non-local anisotropic Allen-Cahn equation. (English) Zbl 1249.35153 Math. Bohem. 136, No. 4, 429-437 (2011). MSC: 35K57 35K65 65N40 53C80 PDFBibTeX XMLCite \textit{M. Beneš} et al., Math. Bohem. 136, No. 4, 429--437 (2011; Zbl 1249.35153) Full Text: EuDML Link
Ševčovič, Daniel; Yazaki, Shigetoshi Evolution of plane curves with a curvature adjusted tangential velocity. (English) Zbl 1291.35109 Japan J. Ind. Appl. Math. 28, No. 3, 413-442 (2011). MSC: 35K40 35K55 65N08 PDFBibTeX XMLCite \textit{D. Ševčovič} and \textit{S. Yazaki}, Japan J. Ind. Appl. Math. 28, No. 3, 413--442 (2011; Zbl 1291.35109) Full Text: DOI arXiv
Beneš, Michal (ed.); Tsujikawa, Tohru (ed.); Yazaki, Shigetoshi (ed.) Proceedings of the Czech-Japanese seminar in applied mathematics, Miyazaki, Japan, September 1–7, 2008. (English) Zbl 1248.00030 COE Lecture Note 14. Fukuoka: Kyushu University, Faculty of Mathematics. ii, 78 p. (2009). MSC: 00B25 35-06 76-06 86-06 65Z05 PDFBibTeX XMLCite \textit{M. Beneš} (ed.) et al., Proceedings of the Czech-Japanese seminar in applied mathematics, Miyazaki, Japan, September 1--7, 2008. Fukuoka: Kyushu University, Faculty of Mathematics (2009; Zbl 1248.00030)
Beneš, Michael; Knobloch, Petr; Tsujikawa, Tohru; Yazaki, Shigetoshi Czech-Japanese seminar in applied mathematics 2008. (English) Zbl 1190.00025 Kybernetika 45, No. 4, 565-566 (2009). MSC: 00B20 35-06 65-06 68-06 76-06 93-06 PDFBibTeX XMLCite \textit{M. Beneš} et al., Kybernetika 45, No. 4, 565--566 (2009; Zbl 1190.00025) Full Text: EuDML Link
Beneš, Michal; Kimura, Masato; Yazaki, Shigetoshi Second order numerical scheme for motion of polygonal curves with constant area speed. (English) Zbl 1189.65189 Interfaces Free Bound. 11, No. 4, 515-536 (2009). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M06 35R35 53C44 65M12 PDFBibTeX XMLCite \textit{M. Beneš} et al., Interfaces Free Bound. 11, No. 4, 515--536 (2009; Zbl 1189.65189) Full Text: DOI arXiv Link
Beneš, M.; Kimura, M.; Pauš, P.; Ševčovič, D.; Tsujikawa, T.; Yazaki, S. Application of a curvature adjusted method in image segmentation. (English) Zbl 1170.53040 Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 4, 509-523 (2008). MSC: 53C44 35K55 65M60 53A04 68U10 PDFBibTeX XMLCite \textit{M. Beneš} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 4, 509--523 (2008; Zbl 1170.53040) Full Text: arXiv
Benes, Michal; Kimura, Masato; Yazaki, Shigetoshi Analytical and numerical aspects on motion of polygonal curves with constant area speed. arXiv:0802.2204 Preprint, arXiv:0802.2204 [math.NA] (2008). MSC: 65L12 BibTeX Cite \textit{M. Benes} et al., ``Analytical and numerical aspects on motion of polygonal curves with constant area speed'', Preprint, arXiv:0802.2204 [math.NA] (2008) Full Text: arXiv
Yazaki, Shigetoshi On the tangential velocity arising in a crystallinge approximation of evolving plane curves. (English) Zbl 1139.53033 Kybernetika 43, No. 6, 913-918 (2007). MSC: 53C44 34A26 34A34 35K65 53A04 53C80 65L20 65M12 65N12 PDFBibTeX XMLCite \textit{S. Yazaki}, Kybernetika 43, No. 6, 913--918 (2007; Zbl 1139.53033) Full Text: EuDML Link
Ushijima, Takeo K.; Yazaki, Shigetoshi Convergence of a crystalline approximation for an area-preserving motion. (English) Zbl 1052.65082 J. Comput. Appl. Math. 166, No. 2, 427-452 (2004). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M12 65M06 34A34 35K55 PDFBibTeX XMLCite \textit{T. K. Ushijima} and \textit{S. Yazaki}, J. Comput. Appl. Math. 166, No. 2, 427--452 (2004; Zbl 1052.65082) Full Text: DOI
Ishiwata, Tetsuya; Yazaki, Shigetoshi On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. (English) Zbl 1033.65055 J. Comput. Appl. Math. 159, No. 1, 55-64 (2003). Reviewer: K. T. S. R. Iyengar (Bangalore) MSC: 65L05 34A34 65L12 82D25 PDFBibTeX XMLCite \textit{T. Ishiwata} and \textit{S. Yazaki}, J. Comput. Appl. Math. 159, No. 1, 55--64 (2003; Zbl 1033.65055) Full Text: DOI
Ushijima, Takeo K.; Yazaki, Shigetoshi Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature \(V=K^\alpha\). (English) Zbl 0946.65071 SIAM J. Numer. Anal. 37, No. 2, 500-522 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 65M06 35K55 65M12 35R35 PDFBibTeX XMLCite \textit{T. K. Ushijima} and \textit{S. Yazaki}, SIAM J. Numer. Anal. 37, No. 2, 500--522 (2000; Zbl 0946.65071) Full Text: DOI
Ushijima, Takeo K.; Yazaki, Shigetoshi Convergence of a crystalline algorithm for the motion of a closed convex curve by a power of curvature. (English) Zbl 0953.65092 Kawarada, H. (ed.) et al., Advances in numerical mathematics. Proceedings of the 4th Japan-China joint seminar on numerical mathematics, Chiba Univ., Chiba, Japan, August 24-28, 1998. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 12, 261-270 (1999). MSC: 65P10 37C10 37M05 PDFBibTeX XMLCite \textit{T. K. Ushijima} and \textit{S. Yazaki}, GAKUTO Int. Ser., Math. Sci. Appl. 12, 261--270 (1999; Zbl 0953.65092)