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Differential-algebraic equation index transformations

Conference ·
OSTI ID:7053772
Techniques are discussed for the reduction of higher index problems of general differential-algebraic equations by differentiation to lower index ones that can be solved numerically while not introducing any constants of integration. Furthermore, we will give transformations between general DAEs and ones in semi-explicit form, and, by these techniques, show how a problem can be reduced to an index 1 semi-explicit form that can be reduced to an implicit differential equation from whose solution the solution to the original problem can be retrieved by at most a differentiation and a linear transformation. 9 refs.
Research Organization:
Illinois Univ., Urbana (USA). Dept. of Computer Science
DOE Contract Number:
FG02-87ER25026
OSTI ID:
7053772
Report Number(s):
DOE/ER/25026-1; UIUCDCS-R-86-1314; UILU-ENG-86-1780; CONF-870726-1; ON: DE87005543
Country of Publication:
United States
Language:
English

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