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A New Algorithm for Differential-Algebraic Equations Based on HIDM
http://hdl.handle.net/10655/3223
http://hdl.handle.net/10655/322389cc14c2-1ede-49ad-83bc-f4c4b8e10a78
Item type | 研究報告書 / Research Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2010-02-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A New Algorithm for Differential-Algebraic Equations Based on HIDM | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | HIDM | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | differential-algebraic equations | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | stiff differential equations | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | symplectic integrator | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | time reversal integrator | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
"Watanabe, T.
× "Watanabe, T.× Gnudi, G." |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | "A new algorithm is proposed to solve differential-algebraic equations. The algorithm is an extension of the algorithm of general purpose HIDM(higher order implicit difference method). A computer program named HDMTDV and based on the new algorithm is constructed and its high performance is proved numerically through several numerical computations, including index-2 problem of differential-algebraic equations and connected rigid pendulum equations The new algorithm is also secular error free when applied to dissipationless dynamical systems. This nature is demonstrated numerically by computation of the Kepler motion. The new code can solve the initial value problem 0=L(psi(x), d psi(x)/dx, d^2psi(x)/dx^2, x), where L and psi are vectors of length N. The values of first or second derivatives of psi(x) are not always necessary in the equations." | |||||
書誌情報 |
en : Research Report NIFS-Series 発行日 1995-02-01 |
|||||
報告書番号 | ||||||
NIFS-341 | ||||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0915-633X |