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Mathematics of Computation

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Finite element multistep discretizations of parabolic boundary value problems

Author: Miloš Zlámal
Journal: Math. Comp. 29 (1975), 350-359
MSC: Primary 65N30
MathSciNet review: 0371105
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Abstract: The initial-boundary value problem for a linear parabolic equation in an infinite cylinder under the Dirichlet boundary condition is solved by applying the finite element discretization in the space dimension and $ {A_0}$-stable multistep discretizations in time. No restriction on the ratio of the time and space increments is imposed. The methods are analyzed and bounds for the discretization error in the $ {L_2}$-norm are given.

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Article copyright: © Copyright 1975 American Mathematical Society

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