TY  - GEN
AU  - Pollock, Sara
AU  - Rebholz, Leo
TI  - Anderson acceleration for numerical PDEs
SN  - 9781611978483
U1  - 515.353 POL 
PY  - 2025///
CY  - Philadelphia
PB  - Society for Industrial and Applied Mathematics (SIAM)
KW  - Anderson Acceleration
KW  - Nonlinear Solvers
KW  - Extrapolation Methods
KW  - Picard Iteration
KW  - Newton's Method
KW  - Sublinear Iterations
KW  - Navier-Stokes Equations
KW  - Boussinesq Equations
KW  - Bingham Equations
N1  - Include Bibliography and Index
N2  - 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
ER  -