石渡 哲哉

研究成果

年別の研究成果 1995 2003 2004 2007 2008 2010 2011 2015 2021 2022 2022

• 67 Article
• 3 Editorial
• 1 Chapter
• 1 Comment/debate

年別の研究成果

年別の研究成果

検索結果

• 2022

  A note on blow-up solutions for a scalar differential equation with a discrete delay

  Ishiwata, T. & Nakata, Y., 2022 12月, In: Japan Journal of Industrial and Applied Mathematics. 39, 3, p. 959-971 13 p.

  研究成果: Article › 査読

  Open Access

  • Discrete Delay 100%
  • Blow-up of Solutions 89%
  • Blow-up Solution 88%
  • Ordinary differential equations 83%
  • Differential equations 69%

• Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation

  Anada, K., Ishiwata, T. & Ushijima, T., 2022 12月, In: Japan Journal of Industrial and Applied Mathematics. 39, 3, p. 889-920 32 p.

  研究成果: Article › 査読

  Open Access

  • Quasilinear Parabolic Equations 100%
  • Traveling Wave Solutions 79%
  • Blow-up 71%
  • Asymptotic Expansion 69%
  • Curvature 63%

• Positivity-preserving numerical schemes for stochastic differential equations

  Abiko, K. & Ishiwata, T., 2022 12月, In: Japan Journal of Industrial and Applied Mathematics. 39, 3, p. 1095-1108 14 p.

  研究成果: Article › 査読

  Open Access

  • Positivity 100%
  • Numerical Scheme 99%
  • Differential equations 96%
  • Stochastic Differential Equations 95%
  • Finance 63%
• 2021

  Delay-induced blow-up in a planar oscillation model

  Eremin, A., Ishiwata, E., Ishiwata, T. & Nakata, Y., 2021 9月, In: Japan Journal of Industrial and Applied Mathematics. 38, 3, p. 1037-1061 25 p.

  研究成果: Article › 査読

  Open Access

  • Differential equations 100%
  • Blow-up 98%
  • Time delay 92%
  • Oscillation 88%
  • Model 36%
  1 被引用数 (Scopus)

• Numerical analysis of an ode and a level set methods for evolving spirals by crystalline eikonal-curvature flow

  Ishiwata, T. & Ohtsuka, T., 2021 3月, In: Discrete and Continuous Dynamical Systems - Series S. 14, 3, p. 893-907 15 p.

  研究成果: Article › 査読

  Open Access

  • Level Set Method 100%
  • Curvature Flow 98%
  • Crystalline materials 76%
  • Numerical Analysis 68%
  • Numerical analysis 63%
  3 被引用数 (Scopus)

• Numerical and mathematical analysis of blow-up problems for a stochastic differential equation

  Ishiwata, T. & Yang, Y. C., 2021 3月, In: Discrete and Continuous Dynamical Systems - Series S. 14, 3, p. 909-918 10 p.

  研究成果: Article › 査読

  Open Access

  • Critical Exponents 100%
  • Mathematical Analysis 93%
  • Numerical Analysis 86%
  • Differential equations 82%
  • Blow-up 81%
  1 被引用数 (Scopus)
• 2020

  The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions

  Ishiwata, T. & Sasaki, T., 2020 1月 1, In: Japan Journal of Industrial and Applied Mathematics. 37, 1, p. 339-363 25 p.

  研究成果: Article › 査読

  • Wave equations 100%
  • Nonlinear Wave Equation 86%
  • Dirichlet Boundary Conditions 69%
  • Blow-up 69%
  • Boundary conditions 60%
  1 被引用数 (Scopus)
• 2019

  Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip

  Ishiwata, T. & Ohtsuka, T., 2019 10月, In: Discrete and Continuous Dynamical Systems - Series B. 24, 10, p. 5261-5295 35 p.

  研究成果: Article › 査読

  Open Access

  • Curvature Flow 100%
  • Facet 78%
  • Crystalline materials 77%
  • Curve 45%
  • Nucleation 38%
  4 被引用数 (Scopus)
• 2018

  A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm

  Anada, K., Ishiwata, T. & Ushijima, T., 2018 3月 1, In: Japan Journal of Industrial and Applied Mathematics. 35, 1, p. 33-47 15 p.

  研究成果: Article › 査読

  • Blow-up Rate 100%
  • Rescaling 92%
  • Invariance 85%
  • Nonlinear Evolution Equations 85%
  • Numerical methods 71%
  4 被引用数 (Scopus)
• 2017

  Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation

  Anada, K. & Ishiwata, T., 2017 1月 5, In: Journal of Differential Equations. 262, 1, p. 181-271 91 p.

  研究成果: Article › 査読

  • Blow-up Rate 100%
  • Quasilinear Parabolic Equations 99%
  • Blow-up of Solutions 92%
  • Boundary value problems 89%
  • Dirichlet Boundary Conditions 71%
  6 被引用数 (Scopus)

• Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow

  Ishiwata, T. & Yazaki, S., 2017, In: Computer Methods in Materials Science. 17, 2, p. 122-135 14 p.

  研究成果: Article › 査読

  • Crystalline materials 100%
  • Flow 61%
  1 被引用数 (Scopus)
• 2015

  Motion of spiral-shaped polygonal curves by nonlinear crystalline motion with a rotating tip motion

  Ishiwata, T., 2015, In: Mathematica Bohemica. 140, 2, p. 111-119 9 p., A111.

  研究成果: Article › 査読

  • Rotating 100%
  • Motion 72%
  • Curve 61%
  • Driving Force 22%
  • Curvature Flow 22%

• On spiral solutions to generalized crystalline motion with a rotating tip motion

  Ishiwata, T., 2015 10月 1, In: Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. 881-888 8 p.

  研究成果: Article › 査読

  • Crystalline materials 100%
  • Rotating 95%
  • Motion 69%
  • Screw dislocations 52%
  • Global Existence 42%

• Some features for blow-up solutions of a nonlinear parabolic equation

  Anada, K. & Ishiwata, T., 2015, In: IAENG International Journal of Applied Mathematics. 45, 3, p. 175-182 8 p.

  研究成果: Article › 査読

  • Blow-up Time 100%
  • Blow-up of Solutions 93%
  • Nonlinear Parabolic Equations 90%
  • Behavior of Solutions 81%
  • Monotonicity 68%
  2 被引用数 (Scopus)
• 2014

  A fast blow-Up solution and degenerate pinching arising in an anisotropic crystalline motion

  Ishiwata, T. & Yazaki, S., 2014 5月, In: Discrete and Continuous Dynamical Systems- Series A. 34, 5, p. 2069-2090 22 p.

  研究成果: Article › 査読

  • Blow-up Solution 100%
  • Crystalline materials 92%
  • Motion 64%
  • Singularity 62%
  • Blow-up 51%

• Crystalline motion of spiral-shaped polygonal curves with a tip motion

  Ishiwata, T., 2014 2月, In: Discrete and Continuous Dynamical Systems - Series S. 7, 1, p. 53-62 10 p.

  研究成果: Article › 査読

  • Crystalline materials 100%
  • Motion 69%
  • Curve 58%
  • Screw dislocations 52%
  • Screw Dislocation 38%
  7 被引用数 (Scopus)
• 2012

  Finite difference scheme for the Landau-Lifshitz equation

  Fuwa, A., Ishiwata, T. & Tsutsumi, M., 2012 2月, In: Japan Journal of Industrial and Applied Mathematics. 29, 1, p. 83-110 28 p.

  研究成果: Article › 査読

  • Ferromagnetism 100%
  • Landau-Lifshitz Equation 78%
  • Finite Difference Scheme 54%
  • Energy dissipation 47%
  • Energy conservation 44%
  6 被引用数 (Scopus)
• 2011

  Behavior of polygonal curves by crystalline curvature flow with a driving force

  Ishiwata, T., 2011 6月 29, In: Default journal.

  研究成果: Article › 査読

• Crystalline motion and eventual monotonicity of the shape

  Ishiwata, T., 2011 7月 19, In: T. Ishiwata.

  研究成果: Article › 査読

• Motion of infinite length polygonal curves by crystalline curvature flow with a driving force

  Ishiwata, T., 2011 2月 7, In: Default journal.

  研究成果: Article › 査読

• Motion of non-closed planar polygonal curves by crystalline curvature flow with a driving force

  Ishiwata, T., 2011 1月 6, In: Default journal.

  研究成果: Article › 査読

• Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

  Ishiwata, T., 2011 9月 1, In: Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 717-726 10 p.

  研究成果: Article › 査読

  • Driving Force 100%
  • Curvature Flow 97%
  • Plane Curve 77%
  • Crystalline materials 76%
  • Global Existence 64%
  6 被引用数 (Scopus)

• On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect

  Ishiwata, T., 2011 8月, In: Discrete and Continuous Dynamical Systems - Series S. 4, 4, p. 865-873 9 p.

  研究成果: Article › 査読

  • Curvature Flow 100%
  • Crystalline materials 77%
  • Motion 53%
  • Line 49%
  • Curve 45%
  7 被引用数 (Scopus)
• 2010

  Asymptotic behavior of blow-up solutions to a degenerate parabolic equation

  Anada, K., T.Ishiwata, T. I. & Ishiwata, T., 2010 8月 31, In: Default journal.

  研究成果: Article › 査読

• Behavior of solutions to an area-preserving crystalline motion

  Ishiwata, T., 2010 7月 1, In: Proceedings of minisemester on evelution of interfaces, Sapporo 2010,HOKKAIDO UNIVERSITY TECHNICAL REPORT SERIES IN MATHEMATICS. 145, p. 84-88

  研究成果: Article › 査読

• Finite difference scheme for the Ericksen-Leslie equation

  T.Ishiwata, T. I., Fuwa, A. & Ishiwata, T., 2010 8月 31, In: Default journal.

  研究成果: Article › 査読

• Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

  Ishiwata, T., 2010 5月 26, In: Default journal.

  研究成果: Article › 査読
• 2009

  On the motion of polygonal curves by crystalline curvature flow with bulk effect

  Ishiwata, T., 2009 6月 16, In: Default journal.

  研究成果: Article › 査読
• 2008

  Area-preserving crystalline curvature flow and its application to negative crystals

  Ishiwata, T., 2008 1月 9, In: Default journal.

  研究成果: Article › 査読

• Motion of essential admissible polygons by crystalline curvature flow

  Ishiwata, T., 2008 5月 1, In: Gakuto International Series, Mathematical Sciences and Applications. 29, p. 201-210

  研究成果: Article › 査読

• Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

  Ishiwata, T., 2008 6月, In: Japan Journal of Industrial and Applied Mathematics. 25, 2, p. 233-253 21 p.

  研究成果: Article › 査読

  • Crystalline materials 100%
  • Polygon 88%
  • Convexity 79%
  • Curvature 74%
  • Motion 69%
  14 被引用数 (Scopus)

• On the motion of polygons by crystalline curvature

  Ishiwata, T., 2008 9月 9, In: Default journal.

  研究成果: Article › 査読
• 2007

  Finite difference schemes for Landau-Lifshitz equation

  Ishiwata, T., Fuwa, A. & Tsutsumi., M., 2007 1月 1, In: Proceedings of Czech--Japanese Seminar in Applied Mathematics 2006. p. 107-113

  研究成果: Article › 査読

  65 被引用数 (Scopus)

• Interface motion of a negative crystal and its analysis

  Ishiwata, T., 2007 10月 22, In: Default journal.

  研究成果: Article › 査読

• Motion of essential admissible polygons by crystalline curvature

  Ishiwata, T., 2007 11月 29, In: Default journal.

  研究成果: Article › 査読

• Motion of polygonal curves by crystalline curvature flow and its generalization

  Ishiwata, T., 2007 7月 18, In: Default journal.

  研究成果: Article › 査読

• Motion of polygons by crystalline curvature

  Ishiwata, T., 2007 5月 15, In: Default journal.

  研究成果: Article › 査読

• Numerical study and some remarks on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves

  Ishiwata, T., Hirota, C. & Yazaki, S., 2007 1月 1, In: Advanced Studies in Pure Mathematics. 47-2 (2007), p. 543-563

  研究成果: Article › 査読

• Towards modelling the formation of negative ice crystals or vapor figures produced by freezing of internal melt figures

  Ishiwata, T. & Yazaki, S., 2007 4月 1, In: Default journal. p. 1-11

  研究成果: Article › 査読

  25 被引用数 (Scopus)
• 2006

  Motion of non-convex polygon by crystalline curvature flow and its generalization

  Ishiwata, T., 2006 12月 8, In: Default journal.

  研究成果: Article › 査読

• Motion of polygonal curves by crystalline curvature

  Ishiwata, T., 2006 9月 10, In: Default journal.

  研究成果: Article › 査読

• Note on the asymptotic behavior of solutions to an anisotropic crystalline curvature flow

  Ishiwata, T., Hirota, C. & Yazaki, S., 2006 1月 1, In: Default journal. p. 129-143

  研究成果: Article › 査読
• 2005

  Some results on singularities of solutions for an anisotropic cyrstalline curvature flow

  Ishiwata, T., Hirota, C. & Yazaki, S., 2005 1月 1, In: Gakuto International Series, Mathematical Sciences and Applications. 23, p. 119-128

  研究成果: Article › 査読
• 2004

  Asymptotic behavior of solutions to an anisotropic crystalline curvature flow

  Ishiwata, T. & Yazaki, S., 2004 12月 8, In: Default journal.

  研究成果: Article › 査読

• Asymptotic behaviour of solutions to an anisotropic crystalline curvature flow

  Ishiwata, T. & Yazaki, S., 2004 9月 20, In: Default journal.

  研究成果: Article › 査読

• Classification of Blow-up Solutions for a Nonlinear Parabolic Partial differential Equation

  Anada, K. & Ishiwata, T., 2004 7月 1, In: Default journal. XVI, p. 220-225

  研究成果: Article › 査読

• Remarks on a type II singularity of solutions for an anisotropic cyrstalline curvature flow

  Ishiwata, T. & Yazaki, S., 2004 1月 24, In: Default journal.

  研究成果: Article › 査読

• Singularities in an anisotropic crystalline curvature flow

  Ishiwata, T. & Yazaki, S., 2004 7月 18, In: Default journal.

  研究成果: Article › 査読

• Some results on singularities of solutions for an anisotropic cyrstalline curvature flow -- theoritical analysis and numerical approach --

  Ishiwata, T. & Yazaki, S., 2004 12月 2, In: Default journal.

  研究成果: Article › 査読

• Two examples of nonconvex self-similar solution curves for a crystalline curvature flow

  Ishiwata, T., Ushijima, T. K., Yagisita, H. & Yazaki, S., 2004 10月, In: Proceedings of the Japan Academy Series A: Mathematical Sciences. 80, 8, p. 151-154 4 p.

  研究成果: Article › 査読

  Open Access

  • Wulff Shape 100%
  • Curvature Flow 86%
  • Self-similar Solutions 74%
  • Triangle 55%
  • Energy 43%
  10 被引用数 (Scopus)