Objective
The Working Group will create a set of cooperating computer algebra tools for the manipulation and the resolution of ordinary differential equations and systems. It will build on the success of ESPRIT Working Group CATHODE (WG 7213), in which concepts and system primitives necessary for the work were developed. The original group has been significantly broadened and changed for this new Working Group, as additional skills and background are needed.
The group will also focus on three critical application areas (real-time simulation and optimal control, electric discharges in gases, rate equations for fragmentation processes) which existing collaborations show to be of particular importance to industry ( EDF, ELF, Vivitron, ...). By the end of the period, it intends to be able to demonstrate real uses of its tools in at least electric discharges in gazes and the control of numerical integration in an industrial software EUROSTAG.
The program of activities will center round annual workshops, smaller team meetings, industrial meetings and individual visits; and to pursue its main aim, the group will work as three overlapping and complementary teams: implementation, algorithms and applications, each with separate team leaders.
- The implementation team will build more advanced tools than exist so far on the primitives developed under \cathode. To do so they will develop, where necessary, additional primitives, and implement the algorithms found under CATHODE and under the present work program. It is of prime importance to the project that the use of common primitives will enable the algorithms to be coded so that they can cooperate and form more advanced and complex tools for particular problem domains. This approach will also enable us to easily make prototypes to test competing methods for the same problem.
- The algorithms team will pursue additional development of the algorithms required, many of them coming from the previous CATHODE work. They will retain close contact with the other teams so that the strong interactions necessary are maintained.
- The applications team will be concerned with taking and developing the output from the other teams and using it on the problems mentioned above.
Dissemination of results:
Dissemination will be by software and document archives, and it is intended to conclude with a book drawing all our work together. A WWW server-based resources will be developped including: home page, published papers, technical reports, software and the final report.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences software
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- natural sciences mathematics pure mathematics algebra
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Programme(s)
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
38041 Grenoble
France
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