Art

J-GLOBAL ID：201802216767405497   Reference number：18A0315182

Method of fundamental solutions with weighted average condition and dummy points

重み付き平均条件と仮想点を用いる基本解近似解法

Author (2)： Sakakibara Koya (Graduate School of Mathematical Sciences, The University of Tokyo) ,  Yazaki Shigetoshi (School of Science and Technology, Meiji University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 9  Page： 41-44(J-STAGE)  Publication year： 2015 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *approximation method ,  *solution (mathematics) ,  weighting ,  point ,  potential ,  problem ,  mathematical property ,  error analysis ,  attenuation ,  exponential function ,  experiment ,  evaluation test ,  demonstration experiment ,  numerical experiment ,  Mathematics ,  analysis ,  theory of errors
Semi thesaurus term： ダミー点 ,  ポテンシャル問題 ,  *fundamental solution ,  exponential decay

Author keywords (4)： Method of fundamental solutions ,  weighted average ,  dummy points ,  invariant scheme

JST classification (2)： Numerical computation  (JE02000J) ,  System and control theory in general  (IA02010H)

Reference (5)：

• 1) K. Sakakibara and S. Yazaki, A charge simulation method for the computation of Hele-Shaw problem, RIMS Kôkyûroku, 1957 (2015), 116-133.
• 2) K. Sakakibara and S. Yazaki, Structure-preserving numerical scheme for the one-phase Hele-Shaw problems by the method of fundamental solutions, submitted revised version.
• 3) M. Katsurada and H. Okamoto, A mathematical study of the charge simulation method I, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 35 (1988), 507-518.
• 4) K. Murota, On ``invariance'' of schemes in the fundamental solution method (in Japanese), J. IPS Japan, 34 (1993), 533-535.
• 5) K. Murota, Comparison of conventional and ``invariant'' schemes of fundamental solutions method for annular domains, Jpn. J. Ind. Appl. Math., 12 (1995), 61-85.

Terms in the title (4)： 平均 ,  仮想 ,  基本解 ,  近似解法