View : 68 Download: 4

A fast adaptive numerical method for stiff two-point boundary value problems

Title
A fast adaptive numerical method for stiff two-point boundary value problems
Authors
Lee J.-Y.Greengard L.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
1997
Journal Title
SIAM Journal on Scientific Computing
ISSN
1064-8275JCR Link
Citation
SIAM Journal on Scientific Computing vol. 18, no. 2, pp. 403 - 429
Indexed
SCI; SCIE; SCOPUS scopus
Document Type
Article
Abstract
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.
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
A fast adaptive.pdf(670.53 kB) Download
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE