On the zero-stability of multistep methods on smooth nonuniform grids-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On the zero-stability of multistep methods on smooth nonuniform grids

Published:2018-07-10 Issue:4 Volume:58 Page:1125-1143
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Söderlind Gustaf^ORCID,Fekete Imre,Faragó István

Funder

New National Excellence Program of the Ministry of Human Capacities, Hungary

Hungarian Scientific Research Fund OTKA

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/article/10.1007/s10543-018-0716-y/fulltext.html

Reference15 articles.

1. Arévalo, C., Führer, C., Söderlind, G.: Regular and singular $$\beta $$ β -blocking for nonstiff index 2 DAEs. Appl. Numer. Math. 35, 293–305 (2000)

2. Arévalo, C., Söderlind, G.: Grid-independent construction of multistep methods. J. Comput. Math. 35, 670–690 (2017)

3. Butcher, J.C., Heard, A.D.: Stability of numerical methods for ordinary differential equations. Numer. Algorithms 31, 59–73 (2002)

4. Crouzeix, M., Lisbona, F.J.: The convergence of variable-stepsize, variable formula, multistep methods. SINUM 21, 512–534 (1984)

5. Cryer, C.W.: On the instability of high order backward-difference multistep methods. BIT 12, 17–25 (1972)

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A fourth-order arithmetic average compact finite-difference method for nonlinear singular elliptic PDEs on a 3D smooth quasi-variable grid network;MethodsX;2023-12

2. Variable Step-Size BDF3 Method for Allen-Cahn Equation;Journal of Computational Mathematics;2023-11

3. Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for non- linear 2D elliptic PDEs on a scattered grid network;COMPUT METHODS DIFFE;2023

4. Linearly Implicit Multistep Methods for Time Integration;SIAM Journal on Scientific Computing;2022-11-03

5. Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow;Numerical Methods for Partial Differential Equations;2021-09-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3