.png){kind=icon}
返回
A fast adaptive numerical method for stiff two-point boundary value problems
.png){kind=icon}
OA
AI
DOI：10.1137/S1064827594272797.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We describe a robust, adaptive algorithm for the solution of singularly perturbed two-point boundary value problems. Many different phenomena can arise in such problems, including boundary layers, dense oscillations, and complicated or ill-conditioned internal transition regions. Working with an integral equation reformulation of the original differential equation, we introduce a method for error analysis which can be used for mesh refinement even when the solution computed on the current mesh is underresolved. Based on this method, we have constructed a black-box code for stiff problems which automatically generates an adaptive mesh resolving all features of the solution. The solver is direct and of arbitrarily high-order accuracy and requires an amount of time proportional to the number of grid points.
Keyword:
mesh refinement
integral equations
singular perturbations problems
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏Surface morphology studies and kinetic-thermodynamic characterization of steels treated in 5.0 M HCl medium: hot-dip galvanizing application在5.0 M HCl介质中处理的钢材的表面形貌研究及动力学-热力学表征：热浸镀锌应用
PREAI
分享收藏分享收藏
查看更多内容