Recent computational developments in Krylov subspace methods for linear systems
Many advances in the development of Krylov subspace methods for the iterative solution of
linear systems during the last decade and a half are reviewed. These new developments …
linear systems during the last decade and a half are reviewed. These new developments …
Equation-free multiscale computation: Algorithms and applications
In traditional physicochemical modeling, one derives evolution equations at the
(macroscopic, coarse) scale of interest; these are used to perform a variety of tasks …
(macroscopic, coarse) scale of interest; these are used to perform a variety of tasks …
Numerical solution of saddle point problems
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …
computational science and engineering. Due to their indefiniteness and often poor spectral …
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic
The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …
attractive acceleration to scientific computing applications. Especially with the hardware …
Mixed precision algorithms in numerical linear algebra
Today's floating-point arithmetic landscape is broader than ever. While scientific computing
has traditionally used single precision and double precision floating-point arithmetics, half …
has traditionally used single precision and double precision floating-point arithmetics, half …
[BOOK][B] Handbook of linear algebra
L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …
concepts, applications, and computational software packages in an easy-to-use handbook …
[BOOK][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
Alternating minimal energy methods for linear systems in higher dimensions
We propose algorithms for the solution of high-dimensional symmetrical positive definite
(SPD) linear systems with the matrix and the right-hand side given and the solution sought in …
(SPD) linear systems with the matrix and the right-hand side given and the solution sought in …
Excited state properties of point defects in semiconductors and insulators investigated with time-dependent density functional theory
We present a formulation of spin-conserving and spin-flip hybrid time-dependent density
functional theory (TDDFT), including the calculation of analytical forces, which allows for …
functional theory (TDDFT), including the calculation of analytical forces, which allows for …
[BOOK][B] Multilevel block factorization preconditioners: Matrix-based analysis and algorithms for solving finite element equations
PS Vassilevski - 2008 - books.google.com
This monograph is the first to provide a comprehensive, self-contained and rigorous
presentation of some of the most powerful preconditioning methods for solving finite element …
presentation of some of the most powerful preconditioning methods for solving finite element …