High-order numerical solution of time-dependent differential equations with quasi-interpolation
High-order numerical solution of time-dependent differential equations with quasi-interpolation
复制标题
准插值瞬态微分方程的高阶数值解
DOI：
10.1016/j.apnum.2019.07.011
复制
发表时间：
2019-12
影响因子：
2.8
通讯作者：
Sun Zhengjie
中科院分区：
文献类型：
--
作者：
Gao Wenwu;Sun Zhengjie
Numerical solution of time-dependent differential equations with quasi-interpolation usually uses derivatives of a quasi-interpolant directly to approximate corresponding spatial derivatives (called the direct technique) in equations. This in turn requires that the quasi-interpolant should possess high-order derivatives for solving high-order differential equations. In addition, the resulting numerical solution usually gives a lower approximation accuracy. To circumvent these limitations, the paper proposes a new scheme for getting high-order numerical solutions of time-dependent differential equations based on quasi-interpolation. The scheme uses an iterated technique instead of the direct quasi-interpolation technique for approximating spatial derivatives. Moreover, it requires only computing the first-order derivative of the involved quasi-interpolant. Numerical examples of solving several benchmark equations using the proposed scheme are provided at the end of the paper to demonstrate these features vividly.
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DOI：
10.1007/978-0-387-49319-0
发表时间：
1941
期刊：
--
影响因子：
--
作者：
J. Jost
通讯作者：
J. Jost
通过多重二次三角拟插值求解瞬态微分方程
影响因子：
4
作者：
Gao Wenwu;Wu Zongmin
通讯作者：
Wu Zongmin
影响因子：
2.9
作者：
C. Rabut
通讯作者：
C. Rabut
DOI：
--
发表时间：
1971-11
期刊：
--
影响因子：
--
作者：
E. Stein;G. Weiss
通讯作者：
E. Stein;G. Weiss
DOI：
--
发表时间：
--
期刊：
--
影响因子：
--
作者：
E. Fuselier;G. Wright
通讯作者：
E. Fuselier;G. Wright