A survey of subspace recycling iterative methods
This survey concerns subspace recycling methods, a popular class of iterative methods that
enable effective reuse of subspace information in order to speed up convergence and find …
enable effective reuse of subspace information in order to speed up convergence and find …
Analysis and algorithms for parametrization, optimization and customization of sled hockey equipment and other dynamical systems
Y Liang - 2020 - dspace.mit.edu
A dynamical system, an ensemble of particles, states of which evolve over time, can be
described using a system of ordinary/partial differential equations (ODEs/PDEs). This …
described using a system of ordinary/partial differential equations (ODEs/PDEs). This …
Krylov methods for nonsymmetric linear systems
G Meurant, JD Tebbens - Cham: Springer, 2020 - Springer
Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …
[图书][B] A Journey through the History of Numerical Linear Algebra
C Brezinski, G Meurant, M Redivo-Zaglia - 2022 - SIAM
A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
An improved two‐grid preconditioner for the solution of three‐dimensional Helmholtz problems in heterogeneous media
H Calandra, S Gratton, X Pinel… - … Linear Algebra with …, 2013 - Wiley Online Library
In this paper, we address the solution of three‐dimensional heterogeneous Helmholtz
problems discretized with second‐order finite difference methods with application to …
problems discretized with second‐order finite difference methods with application to …
KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners
Contemporary applications in computational science and engineering often require the
solution of linear systems which may be of different sizes, shapes, and structures. The goal …
solution of linear systems which may be of different sizes, shapes, and structures. The goal …
Comparative study of inner–outer Krylov solvers for linear systems in structured and high-order unstructured CFD problems
M Jadoui, C Blondeau, E Martin, F Renac, FX Roux - Computers & Fluids, 2022 - Elsevier
Advanced Krylov subspace methods are investigated for the solution of large sparse linear
systems arising from stiff adjoint-based aerodynamic shape optimization problems. A special …
systems arising from stiff adjoint-based aerodynamic shape optimization problems. A special …
Block iterative methods and recycling for improved scalability of linear solvers
P Jolivet, PH Tournier - SC'16: Proceedings of the International …, 2016 - ieeexplore.ieee.org
Contemporary large-scale Partial Differential Equation (PDE) simulations usually require the
solution of large and sparse linear systems. Moreover, it is often needed to solve these …
solution of large and sparse linear systems. Moreover, it is often needed to solve these …
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling
Learning neural operators for solving partial differential equations (PDEs) has attracted
great attention due to its high inference efficiency. However, training such operators requires …
great attention due to its high inference efficiency. However, training such operators requires …
Recycling Krylov subspaces and truncating deflation subspaces for solving sequence of linear systems
This article presents deflation strategies related to recycling Krylov subspace methods for
solving one or a sequence of linear systems of equations. Besides well-known strategies of …
solving one or a sequence of linear systems of equations. Besides well-known strategies of …