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

Abstract

"This book on solvers for nonlinear equations is a user-oriented guide to algorithms and implementation. It's a sequel to the author's book Solving Nonlinear Equations Using Newton's Method. This book uses Julia and adds new material on pseudo-transient continuation, mixed-precision solvers, and Anderson acceleration. A Julia package and a suite of Jupyter notebooks support the book. The purpose of the book is to show, via algorithms in pseudocode and Julia with several examples, how one can choose an appropriate iterative method for a given problem and write an efficient solver or apply one written by others"

Topics & Concepts