論文・プレプリント

論文

1. Takeo K. USHIJIMA,   ``On the apporximation of blow-up time for solutions of nonlinear parabolic equations'', PhD Thesis, Univ. of Tokyo, 1999. To appear in Publ. RIMS.

2. Hitoshi IMAI, Naoyuki ISHIMURA and Takeo K. USHIJIMA,   ``A crystalline motion of spiral-shaped curves with symmetry'', (J. Math. Anal. Appl. 240, pp. 115-127, 1999 ).

3. Takeo K. USHIJIMA and Shigetoshi YAZAKI,   ``Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature'', (Gakuto International Series, Mathematical Sciences and Applications, volume 12, Advances in Numerical Mathematics; Proceedings of the Fourth Japan-China Joint Seminar on Numerical Mathematics, Edited by H. Kawarada, M. Nakamura and Z. Shi. pp. 261-270, 1999, Gakkou-tosyo, Tokyo).

4. Takeo K. USHIJIMA and Shigetoshi YAZAKI,   ``Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature '', (SIAM J. Numer. Anal. 37, No.2, pp. 500-522, 2000).

5. Hitoshi IMAI, Naoyuki ISHIMURA and Takeo K. USHIJIMA,   ``Motion of Spirals by Crystalline Curvature'', (Math. Model. and Numer. Anal. 33, pp. 797-806, 1999).

プレプリント

1. Takeo K. USHIJIMA,   ``On the convergence of blow-up time of some numerical schemes for nonlinear parabolic equations'', (投稿中).

2. Takeo K. USHIJIMA and Shigetoshi YAZAKI,   ``Implicit crystalline algorithm for an area-preserving motion of immersed convex curves by curvature'', (投稿中).