000			01928 a2200301 4500
005			20260214155317.0
008			260214b |||||||| |||| 00| 0 eng d
020			_a9781611978483
082			_a515.353 POL
100			_aPollock, Sara
245			_aAnderson acceleration for numerical PDEs
260			_aPhiladelphia: _bSociety for Industrial and Applied Mathematics (SIAM), _c2025.
300			_aviii, 110p.: _bcol., ill.; pbk.: _c26 cm.
440			_aSIAM Spotlights
504			_aInclude Bibliography and Index
520			_aResearch 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
650			_aAnderson Acceleration
650			_aNonlinear Solvers
650			_aExtrapolation Methods
650			_aPicard Iteration
650			_aNewton's Method
650			_aSublinear Iterations
650			_aNavier-Stokes Equations
650			_aBoussinesq Equations
650			_aBingham Equations
700			_aRebholz, Leo _eCo-author
942			_cTD _2ddc
999			_c64214 _d64214