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Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data

Le Roux, Marie-Noelle ; Thomee, Vidar

SIAM journal on numerical analysis, 1989-12, Vol.26 (6), p.1291-1309 [Periódico revisado por pares]

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Título:
Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data
Autor: Le Roux, Marie-Noelle ; Thomee, Vidar
Assuntos: Approximation ; Coefficients ; Differential equations ; Error rates ; Estimates ; Estimation methods ; Eulers method ; Exact sciences and technology ; Integers ; Mathematics ; Numerical analysis ; Numerical analysis. Scientific computation ; Partial differential equations, initial value problems and time-dependant initial-boundary value problems ; Roux ; Sciences and techniques of general use ; Semigroups ; Trapezoidal rule
É parte de: SIAM journal on numerical analysis, 1989-12, Vol.26 (6), p.1291-1309
Descrição: Error estimates are derived for the discretization, in space by finite elements and in time by the backward Euler method, of a parabolic equation with a semilinear memory term. Special attention is paid to the case of nonsmooth data and the computation of the memory term by quadrature.
Editor: Philadelphia, PA: Society for Industrial and Applied Mathematics
Idioma: Inglês

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