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Using semigroups and the Trotter product formula to solve quasi-linear systems

Conference ·
OSTI ID:6301568

A quasi-linear system with linear coupling terms is treated. An approximate system for which the Trotter product of constituent semigroups converges is solved. Then it is shown that the approximate solutions converge to a solution of the original system, and that the resulting solution operator is a semigroup. Remarks are made about a nonlinearly coupled system. 12 references.

Research Organization:
Los Alamos National Lab., NM (USA)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
6301568
Report Number(s):
LA-UR-84-2937; CONF-8407103-1; ON: DE85002041
Country of Publication:
United States
Language:
English

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