论文信息 - Long-time numerical solution of a parabolic equation with memory

Long-time numerical solution of a parabolic equation with memory

Long-time stability and convergence properties of two time-discreti- zation methods for an integro-differential equation of parabolic type are studied. The methods are based on the standard backward Euler and second-order back- ward differencing methods. The memory term is approximated by a quadrature rule, with emphasis on such rules with reduced computational memory require- ments. Discretization of the spatial partial differential operators by the finite element method is also considered.

Vidar Thomée | Lars B. Wahlbin

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