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.
%0 Book
%1 kelley2022solving
%A Kelley, C. T.
%B Fundamentals of Algorithms
%C Philadelphia
%D 2022
%I SIAM
%K 65-01-numerical-analysis-instructional-exposition 65f10-iterative-methods-for-linear-systems 65h10-systems-of-nonlinear-algebraic-equations
%R 10.1137/1.9781611977271
%T Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia
%U https://epubs.siam.org/doi/book/10.1137/1.9781611977271
%V 20
%X 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.
%@ 978-1-61197-726-4
@book{kelley2022solving,
abstract = {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.},
added-at = {2024-05-07T05:14:28.000+0200},
address = {Philadelphia},
author = {Kelley, C. T.},
biburl = {https://www.bibsonomy.org/bibtex/2e28b807d0e09ef29177e53b17fd2a405/gdmcbain},
doi = {10.1137/1.9781611977271},
interhash = {3052715a6ef6ea132d4c69f39a581afc},
intrahash = {e28b807d0e09ef29177e53b17fd2a405},
isbn = {978-1-61197-726-4},
keywords = {65-01-numerical-analysis-instructional-exposition 65f10-iterative-methods-for-linear-systems 65h10-systems-of-nonlinear-algebraic-equations},
publisher = {SIAM},
series = {Fundamentals of Algorithms},
timestamp = {2024-05-07T05:14:28.000+0200},
title = {Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia},
url = {https://epubs.siam.org/doi/book/10.1137/1.9781611977271},
volume = 20,
year = 2022
}