ON STABILITY OF DISCRETIZATION
摘要
In this paper, we consider the discrete approximation of abstract operator equation. We proposethe definition of generalized stability of discrete problem, which is equivalent to usual stabilityas long as the operator is linear. Under some conditions, such stability gives the unique existenceof approximate solution and the convergence. In this paper, we deal with the relation between suchstability and the stability of practical computation and the uniform boundness of approximatesolution. We also give a new critique of optical approximation. Finally, we take Burger's equationas an example to show how to use the idea here.
引用本文（GB/T 7714）
Bin Guo. ON STABILITY OF DISCRETIZATION[J]. 未知来源, 1982.
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