The Uniform L^2 Behavior for Time Discretization of an Evolution Equation

The Uniform L^2 Behavior for Time Discretization of an Evolution Equation

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摘要 The uniform L^2 stability and convergence properties for the time discretization of an evolution equation with a memory term are studied. The methods are based on the second-order backward difference methods. The memory term is approximated by the second-order convolution quadrature and interpolant quadrature. The uniform L^2 stability and convergence properties for the time discretization of an evolution equation with a memory term are studied. The methods are based on the second-order backward difference methods. The memory term is approximated by the second-order convolution quadrature and interpolant quadrature.

作者 DaXU

机构地区 DepartmentofMathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第1期127-140,共14页 数学学报（英文版）

关键词 Evolution equation with memory Time discretization Uniform L 2 behavior Evolution equation with memory Time discretization Uniform L 2 behavior

分类号 O175.6 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2003年第1期

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The Uniform L^2 Behavior for Time Discretization of an Evolution Equation

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