Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia

丛 书 名：Fundamentals of Algorithms

作     者：C. T. Kelley 

I S B N：(纸本) 9781611977264 

出 版 年：2022年

主 题 词：nonlinear solvers Newton's method pseudo-transient continuation Anderson acceleration Newton-Krylov methods mixed-precision solvers Julia codes Jupyter notebooks 

摘      要：This user-oriented guide describes state-of-the-art methods for nonlinear equations and shows, via algorithms in pseudocode and Julia with several examples, how to choose an appropriate iterative method for a given problem and write an efficient solver or apply one written by others. A sequel to the author s Solving Nonlinear Equations with Newton s Methods (SIAM, 2003), this book contains new material on pseudo-transient continuation, mixed-precision solvers, and Anderson acceleration; is supported by a Julia package and a suite of Jupyter notebooks; and includes examples of nonlinear problems from many disciplines.