Repo Reviews

Review

• Author: @truongbnguyen88
• Repo: nncarlson/nka
• Title: Truong's review for Nonlinear Krylov Acceleration repository by Niel Carlson

• Please write a thoughtful review.
• The repo NKA is a very useful tool for accelerating convergence of fixed-point (Picard) algorithms. Picards algorithms are widely used in solving nonlinear systems of partial differential equations.
• In most practical problems, nonlinear system of PDEs do not have a closed form solution; therefore, iterative methods can be used to find numerical solutions. However, iterative methods struggle to find the optimal solutions due to slow convergence.
• Thus, Niel Carlson invented this method to accelerate these iterative procedure.

• Some information about the author: Niel Carlson was a research scientist at Los Alamos National Laboratory. He wrote many useful research papers with NKA method being one of them.

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  • Link to the repo: https://github.com/nncarlson/nka

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