Implementation of a modified Marder-Weitzner method for solving nonlinear eigenvalue problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:226

Article; Proceedings Paper

Wu, Yu-Jiang¹  Wang, Yang¹  Zeng, Min-Li¹  Yang, Ai-Li¹ 

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

关键词: Nonlinear Richardson method;    Marder-Weitzner method;    Nonlinear eigenvalue problems;    Incremental unknowns;    Compact schemes;   

DOI  :  10.1016/j.cam.2008.05.034

来源: Elsevier

【 摘 要 】

Our goal is to propose four versions of modified Marder-Weitzner methods and to present the implementation of the new-type methods with incremental unknowns for solving nonlinear eigenvalue problems. By combining with compact schemes and modified Marder-Weitzner methods, six schemes well suited for the calculation of unstable solutions are obtained. We illustrate the efficiency of the new algorithms by using numerical computations and by comparing them with existing methods for some two-dimensional problems. (c) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free