Art

J-GLOBAL ID：200902258153054079   Reference number：09A0231033

Finite Difference Approximation of Ill-Posed Cauchy Problems

非適切Cauchy問題の有限差分近似

Author (3)： NISHIDA Kotoba (Kagoshima Univ., Kagoshima) ,  FUJIWARA Hiroshi (Kyoto Univ., Kyoto) ,  ISO Yuusuke (Kyoto Univ., Kyoto)
Material： Theoretical and Applied Mechanics Japan  (Theor Appl Mech Jpn)
Volume： 57  Page： 405-410  Publication year： 2008 
JST Material Number： G0568B  ISSN： 1348-0693  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *initial value problem ,  *calculus of finite difference ,  approximation method ,  partial differential equation ,  convergence ,  stability ,  *analytical solution
Semi thesaurus term： *Cauchy problem ,  convergence property ,  *finite difference method

JST classification (1)： Numerical computation  (JE02000J)

Reference (5)：

• M. Nagumo, Über das Anfangswertproblem Partieller Differentialgleichungen, Japan. J. Math.18(1942)41-47.
• L. Nirenberg, An abstract form of the nonlinear Cauchy-Kowalewski theorem, J. Differential Geometry 6(1971)561-576.
• K. Hayakawa, Convergence of Finite Difference Scheme and Analytic Data, Publ. RIMS, Kyoto Univ.24(1988)759-764.
• Y. Iso and K. Nishida, Kowalewski Theorem for Linear System and Finite Difference Scheme, preprint.
• H. Fujiwara,http://www-an.acs.i.kyoto-u.ac.jp/~fujiwara/exflib

Terms in the title (1)： Cauchy問題