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Incremental unknowns for solving nonlinear eigenvalue problems: New multiresolution methods
Author(s) -
Chehab Jean–Paul,
Temam Roger
Publication year - 1995
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690110304
Subject(s) - preconditioner , eigenvalues and eigenvectors , mathematics , generalization , nonlinear system , construct (python library) , mathematical optimization , iterative method , computer science , mathematical analysis , physics , quantum mechanics , programming language
In this article, we present several numerical multilevel schemes for the solution of nonlinear eigenvalue problems. Using the Incremental Unknowns, we construct some generalization of the Marder and Weitzner method, which is well suited for the calculation of unstable solutions. The new methods that we present are based on a different treatment of the several structures appearing with the utilization of the hierarchical preconditioner. We illustrate the efficiency of the new methods with the calculation of unstable solutions of a reaction diffusion problem. © 1995 John Wiley & Sons, Inc.