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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Long-time numerical solution of a parabolic equation with memory


Authors: Vidar Thomée and Lars B. Wahlbin
Journal: Math. Comp. 62 (1994), 477-496
MSC: Primary 65M60; Secondary 65D20
MathSciNet review: 1220827
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Abstract: Long-time stability and convergence properties of two time-discretization methods for an integro-differential equation of parabolic type are studied. The methods are based on the standard backward Euler and second-order backward differencing methods. The memory term is approximated by a quadrature rule, with emphasis on such rules with reduced computational memory requirements. Discretization of the spatial partial differential operators by the finite element method is also considered.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1994-1220827-1
PII: S 0025-5718(1994)1220827-1
Article copyright: © Copyright 1994 American Mathematical Society