Existence, computation, and number of solutions of periodic parabolic problems
Journal Article
·
· SIAM J. Numer. Anal.; (United States)
A new proof is given of the existence of periodic solutions of parabolic problems and sytems of ordinary differential equations satisfying a comparison lemma by constructing a fixed point of an associated operator. The construction may be computationally inefficient; thus it is proved that Newton's method is applicable. The arguments also yield results about the number of periodic solutions. 3 tables.
- Research Organization:
- Los Alamos Scientific Lab., NM
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6895123
- Journal Information:
- SIAM J. Numer. Anal.; (United States), Journal Name: SIAM J. Numer. Anal.; (United States) Vol. 16:3; ISSN SJNAA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657006 -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
ITERATIVE METHODS
NEWTON METHOD
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
TEMPERATURE DISTRIBUTION
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
ITERATIVE METHODS
NEWTON METHOD
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
TEMPERATURE DISTRIBUTION