Anderson acceleration for numerical PDEs

By:

Pollock, Sara

Contributor(s):

Rebholz, Leo [Co-author]

Series: SIAM SpotlightsPublication details: Philadelphia: Society for Industrial and Applied Mathematics (SIAM), 2025.Description: viii, 110p.: col., ill.; pbk.: 26 cmISBN:

9781611978483

Subject(s):

DDC classification:

515.353 POL

Summary: 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

List(s) this item appears in: New Arrivals - February 2026

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	515.353 POL (Browse shelf(Opens below))	1	Available	036690

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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

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