Pollock, Sara <br/><br/>
Anderson acceleration for numerical PDEs 

 - Philadelphia:  Society for Industrial and Applied Mathematics (SIAM),  2025. 
 - viii, 110p.:  col., ill.; pbk.:  26 cm. 
 - SIAM Spotlights .
<br/><br/>Include Bibliography and Index 
<br/><br/> Research on Anderson acceleration (AA) has surged over the last 15 years. This book compiles recent fundamental advancements in AA and its application to nonlinear solvers for partial differential equations (PDEs). These solvers play an important role across mathematics, science, engineering, and economics, serving as a critical technology for determining solutions to predictive models for a wide range of important phenomena. This book covers- AA convergence theory for both contractive and noncontractive operators; filtering techniques for AA; examples of how convergence theory can be adapted to various application problems; AA's impact on sublinear convergence; and integration of AA with Newton's method. The authors provide detailed proofs of key theorems and results from numerous test examples. Code for the examples is available in an online repository.                                                                                            https://epubs.siam.org/doi/book/10.1137/1.9781611978490 
<br/><br/><label>ISBN: </label>9781611978483 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Anderson Acceleration<br/>Nonlinear Solvers<br/>Extrapolation Methods<br/>Picard Iteration<br/>Newton's Method<br/>Sublinear Iterations<br/>Navier-Stokes Equations<br/>Boussinesq Equations<br/>Bingham Equations
<br/><br/><label>Dewey Class. No.: </label>515.353 POL