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 …
Preconditioning strategies for stochastic elliptic partial differential equations
N Venkovic - 2023 - theses.hal.science
We are interested in the Monte Carlo (MC) sampling of discretized elliptic partial differential
equations (PDEs) with random variable coefficients. The dominant computational load of …
equations (PDEs) with random variable coefficients. The dominant computational load of …
Solution of large linear systems with a massive number of right-hand sides and machine learning
YF **ang - 2022 - theses.hal.science
This work focus on the iterative solution of large linear systems with multiple right-hand
sidesthat appear in various scientific applications. When multiple right-hand sides have to …
sidesthat appear in various scientific applications. When multiple right-hand sides have to …
Comparative study of harmonic and Rayleigh-Ritz procedures with applications to deflated conjugate gradients
Harmonic Rayleigh-Ritz and Raleigh-Ritz projection techniques are compared in the context
of iterative procedures to solve for small numbers of least dominant eigenvectors of large …
of iterative procedures to solve for small numbers of least dominant eigenvectors of large …
On the spectrum of deflated matrices with applications to the deflated shifted Laplace preconditioner for the Helmholtz equation
The deflation technique for accelerating Krylov subspace iterative methods for the solution of
linear systems has long been well established. The first landmark papers of Nicolaides and …
linear systems has long been well established. The first landmark papers of Nicolaides and …
Implicitly restarted global Krylov subspace methods for matrix equations
The restarted global Krylov subspace methods are popular to solve matrix equations.
Although these methods reduce storage costs, some important information is lost at the time …
Although these methods reduce storage costs, some important information is lost at the time …
Absorption kinetics of vacancies by cavities in aluminum: Numerical characterization of sink strengths and first-passage statistics through Krylov subspace projection …
S Kaur, M Athènes, J Creuze - Journal of Computational Physics, 2022 - Elsevier
Modeling the microstructural evolution of metal and alloys, specifically under irradiation, is
essential to predict the aging properties of materials. Many models are based on a transition …
essential to predict the aging properties of materials. Many models are based on a transition …
Accelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods
We explore and develop a Proper Orthogonal Decomposition (POD)-based deflation
method for the solution of ill-conditioned linear systems, appearing in simulations of two …
method for the solution of ill-conditioned linear systems, appearing in simulations of two …
Iterative processes in the Krylov–Sonneveld subspaces
VP Il'in - Journal of Mathematical Sciences, 2017 - Springer
The paper presents a generalized block version of the Induced Dimension Reduction (IDR)
methods in comparison with the Multi–Preconditioned Semi-Conjugate Direction (MPSCD) …
methods in comparison with the Multi–Preconditioned Semi-Conjugate Direction (MPSCD) …
[PDF][PDF] DE L'UNIVERSITE DE BORDEAUX
N VENKOVIC - 2023 - researchgate.net
We are interested in the Monte Carlo (MC) sampling of discretized elliptic partial differential
equations (PDEs) with random variable coefficients. The dominant computational load of …
equations (PDEs) with random variable coefficients. The dominant computational load of …