NDLI: Elementary differentials, their graphs and codes

Content Provider	Springer Nature Link
Author	Tygliyan, A. V. Filippov, S. S.
Copyright Year	2010
Abstract	When designing high-order one-step numerical methods like Runge-Kutta, Rosenbrock, or ABC-schemes for solving ordinary differential equations, one has to take into account many tens and hundreds of elementary differentials. Graphical representation of the latter in use nowadays does not solve the problem of the computerization of the enormous amount of manual work. We have proposed a simple and intuitive way of digital coding of elementary differentials or their graphs. Algorithms for generation, analysis, and synthesis of such codes were developed and implemented in a computer program, which computes tables of codes for elementary differentials of any order together with their multiplicities and gamma-factors.
Starting Page	156
Ending Page	161
Page Count	6
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	2
Issue Number	2
e-ISSN	20700490
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-04-07
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Simulation and Modeling Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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Elementary differentials, their graphs and codes