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The Uniform L2 Behavior for Time Discretization of an Evolution Equation
Authors:Da?Xu  author-information"  >  author-information__contact u-icon-before"  >  mailto:daxu@hunnu.edu.cn"   title="  daxu@hunnu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China
Abstract: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. This work was supported in part by the National Natural Science Foundation of China, contract grant number 10271046
Keywords:Evolution equation with memory  Time discretization  Uniform L 2 behavior
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