Considerations on the implementation and use of Anderson acceleration on distributed memory and GPU-based parallel computers

Loffeld, J; Woodward, C S

doi:10.1007/978-3-319-34139-2_21

Title: Considerations on the implementation and use of Anderson acceleration on distributed memory and GPU-based parallel computers

Conference · Mon Aug 03 00:00:00 EDT 2015

DOI:https://doi.org/10.1007/978-3-319-34139-2_21· OSTI ID:1236735

Loffeld, J; Woodward, C S

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC52-07NA27344

OSTI ID:: 1236735

Report Number(s):: LLNL-PROC-675918

Resource Relation:: Journal Volume: 6; Conference: Presented at: Association for Women in Mathematics Research Symposium, Baltimore, MD, United States, Apr 10 - Apr 11, 2015

Country of Publication:: United States

Language:: English

References (9)

Iterative Procedures for Nonlinear Integral Equations Anderson, Donald G. Journal of the ACM, Vol. 12, Issue 4 https://doi.org/10.1145/321296.321305	journal	October 1965
ScaLAPACK Users' Guide Blackford, L. S.; Choi, J.; Cleary, A. Society for Industrial and Applied Mathematics https://doi.org/10.1137/1.9780898719642	book	January 1997
Hybrid Krylov Methods for Nonlinear Systems of Equations Brown, Peter N.; Saad, Youcef SIAM Journal on Scientific and Statistical Computing, Vol. 11, Issue 3 https://doi.org/10.1137/0911026	journal	May 1990
Communication-optimal Parallel and Sequential QR and LU Factorizations Demmel, James; Grigori, Laura; Hoemmen, Mark SIAM Journal on Scientific Computing, Vol. 34, Issue 1 https://doi.org/10.1137/080731992	journal	January 2012
Two classes of multisecant methods for nonlinear acceleration Fang, Haw-ren; Saad, Yousef Numerical Linear Algebra with Applications, Vol. 16, Issue 3 https://doi.org/10.1002/nla.617	journal	March 2009
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E. ACM Transactions on Mathematical Software, Vol. 31, Issue 3 https://doi.org/10.1145/1089014.1089020	journal	September 2005
Jacobian-free Newton–Krylov methods: a survey of approaches and applications Knoll, D. A.; Keyes, D. E. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.08.010	journal	January 2004
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems Saad, Youcef; Schultz, Martin H. SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3 https://doi.org/10.1137/0907058	journal	July 1986
Anderson Acceleration for Fixed-Point Iterations Walker, Homer F.; Ni, Peng SIAM Journal on Numerical Analysis, Vol. 49, Issue 4 https://doi.org/10.1137/10078356X	journal	January 2011

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