版权所有:内蒙古大学图书馆 技术提供:维普资讯• 智图
内蒙古自治区呼和浩特市赛罕区大学西街235号 邮编: 010021
丛 书 名:Fundamentals of Algorithms
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.