Variable time-step ϑ-scheme for nonlinear evolution equations governed by a monotone operator

被引：0

作者：

Etienne Emmrich

机构：

[1] Technische Universität Berlin,Institut für Mathematik

来源：

Calcolo | 2009年 / 46卷

关键词：

Evolution equation; Monotone operator; Time discretisation; -scheme; Non-uniform grid; Convergence; 65M12; 65M15; 47J35; 35K55; 47H05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The single-step ϑ-scheme on a variable time grid is employed for the approximate solution of the initial-value problem for a nonlinear first-order evolution equation. The evolution equation is supposed to be governed by a possibly time-dependent hemicontinuous operator that is (up to a shift) monotone and coercive, and fulfills a certain growth condition.

引用

页码：187 / 210

页数：23

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