View : 154 Download: 0

An energy stable Runge-Kutta method for convex gradient problems

Title
An energy stable Runge-Kutta method for convex gradient problems
Authors
Shin, JaeminLee, June-Yub
Ewha Authors
이준엽신재민
SCOPUS Author ID
이준엽scopus; 신재민scopus
Issue Date
2020
Journal Title
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN
0377-0427JCR Link

1879-1778JCR Link
Citation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS vol. 367
Keywords
Gradient flowConvex problemStiffly accurate Runge-Kutta methodPositive definite conditionUnconditional energy stabilityUnique solvability
Publisher
ELSEVIER
Indexed
SCI; SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
We propose a class of Runge-Kutta methods which provide a simple unified framework to solve the gradient flow of a convex functional in an unconditionally energy stable manner. Stiffly accurate Runge-Kutta methods are high order accurate in terms of time and also assure the energy stability for any time step size when they satisfy the positive definite condition. We provide a detailed proof of the unconditional energy stability as well as unique solvability of the proposed scheme. We demonstrate the accuracy and stability of the proposed methods using numerical experiments for a specific example. (C) 2019 Elsevier B.V. All rights reserved.
DOI
10.1016/j.cam.2019.112455
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

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

BROWSE