Numerical solution of Richards' equation: A review of advances and challenges

MW Farthing, FL Ogden - Soil Science Society of America …, 2017 - Wiley Online Library
Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

A survey of direct methods for sparse linear systems

TA Davis, S Rajamanickam, WM Sid-Lakhdar - Acta Numerica, 2016 - cambridge.org
Wilkinson defined a sparse matrix as one with enough zeros that it pays to take advantage of
them. 1 This informal yet practical definition captures the essence of the goal of direct …

[PDF][PDF] The FEniCS project version 1.5

M Alnæs, J Blechta, J Hake… - Archive of …, 2015 - journals.ub.uni-heidelberg.de
The FEniCS Project is a collaborative project for the development of innovative concepts
and tools for automated scientific computing, with a particular focus on the solution of …

[图书][B] Direct methods for sparse linear systems

TA Davis - 2006 - SIAM
This book presents the fundamentals of sparse matrix algorithms, from theory to algorithms
and data structures to working code. The focus is on direct methods for solving systems of …

Hybrid scheduling for the parallel solution of linear systems

PR Amestoy, A Guermouche, JY L'Excellent, S Pralet - Parallel computing, 2006 - Elsevier
We consider the problem of designing a dynamic scheduling strategy that takes into account
both workload and memory information in the context of the parallel multifrontal factorization …

Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate

Y Chen, TA Davis, WW Hager… - ACM Transactions on …, 2008 - dl.acm.org
CHOLMOD is a set of routines for factorizing sparse symmetric positive definite matrices of
the form A or AA T, updating/downdating a sparse Cholesky factorization, solving linear …

Sparsep: Towards efficient sparse matrix vector multiplication on real processing-in-memory architectures

C Giannoula, I Fernandez, JG Luna, N Koziris… - Proceedings of the …, 2022 - dl.acm.org
Several manufacturers have already started to commercialize near-bank Processing-In-
Memory (PIM) architectures, after decades of research efforts. Near-bank PIM architectures …

MHD stability in X-point geometry: simulation of ELMs

GTA Huysmans, O Czarny - Nuclear fusion, 2007 - iopscience.iop.org
A non-linear MHD code, named JOREK, is under development with the aim of studying the
non-linear evolution of the MHD instabilities thought to be responsible for edge localized …

Towards efficient sparse matrix vector multiplication on real processing-in-memory architectures

C Giannoula, I Fernandez, J Gómez-Luna… - ACM SIGMETRICS …, 2022 - dl.acm.org
Several manufacturers have already started to commercialize near-bank Processing-In-
Memory (PIM) architectures, after decades of research efforts. Near-bank PIM architectures …

Smash: Co-designing software compression and hardware-accelerated indexing for efficient sparse matrix operations

K Kanellopoulos, N Vijaykumar, C Giannoula… - Proceedings of the …, 2019 - dl.acm.org
Important workloads, such as machine learning and graph analytics applications, heavily
involve sparse linear algebra operations. These operations use sparse matrix compression …