Article ID Journal Published Year Pages File Type
1707443 Applied Mathematics Letters 2016 5 Pages PDF
Abstract
Unfortunately, u→N is all too often outside the domain of convergence of Newton's iteration when N is increased to (N+1). We show that a good option is the artificial parameter homotopy H→(u→;τ)≡R→N+1(u→)−(1−τ)R→N+1(u→N), τ∈[0,1]. Marching in small steps in τ, we proceed smoothly from the N-term to the N+1-term approximations.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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