Parallel implementation of a high-order implicit collocation method for the heat equation
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science
Reference9 articles.
1. J. Crank, P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, in: Proceedings of the Cambridge Philosophical Society, Vol. 43, No. 50, 1947, pp. 50–67.
2. J. Douglas Jr., T. Dupont, Collocation methods for parabolic equations in a single space variable, Lecture Notes in Mathematics, Vol. 385, Springer, Berlin, 1974.
3. A fourth-order Poisson solver;Gupta;J. Comp. Phys.,1984
4. E. Hairer, S.P. Norsett, G. Wanner, Solving ordinary differential equations. I. Nonstiff problems, Springer Series in Computational Mathematics, Vol. 8, Springer, Berlin, 1987.
5. One-step piecewise polynomial Galerkin methods for initial value problems;Hulme;Math. Comp.,1972
Cited by 8 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 numerical scheme based on compact integrated-RBFs and Adams–Bashforth/Crank–Nicolson algorithms for diffusion and unsteady fluid flow problems;Engineering Analysis with Boundary Elements;2013-12
2. High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation;Numerical Methods for Partial Differential Equations;2009-01
3. High order compact solution of the one-space-dimensional linear hyperbolic equation;Numerical Methods for Partial Differential Equations;2008-09
4. The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation;Numerical Methods for Partial Differential Equations;2007-09-11
5. Implicit Collocation Technique for Heat Equation with Non-Classic Initial Condition;International Journal of Nonlinear Sciences and Numerical Simulation;2006-01
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