Sparse Solvers

An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs
Ichitaro Yamazaki, Alexander Heinlein, Sivasankaran Rajamanickam
Performance Portable Batched Sparse Linear Solvers
Kim Liegeois, Sivasankaran Rajamanickam, Luc Berger-Vergiat
High-Performance GMRES Multi-Precision Benchmark: Design, Performance, and Challenges
Ichitaro Yamazaki, Christian Glusa, Jennifer Loe, Piotr Luszczek, Sivasankaran Rajamanickam, Jack Dongarra
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
Alexander Heinlein, Mauro Perego, Sivasankaran Rajamanickam
Combinatorial Scientific Computing
Combinatorial scientific computing (CSC) has served as the foundation of several scientific simulations for the past three decades. Several of the problems in the field of deal with an interesting mix of combinatorial, numerical, and computer architecture issues.
Trilinos
Trilinos is large framework that serves as the foundation for several computational science applications. It provides capabilities for building portable, high performance, parallel science codes. The basic functionality provided include distributed linear algebra, portable sparse/dense linear algebra kernels, load balancing utilites, sparse linear solvers, non-linear solvers, discretization and meshing utilities.
Jan 8, 2022
Experimental evaluation of multiprecision strategies for GMRES on GPUs
Jennifer A Loe, Christian A Glusa, Ichitaro Yamazaki, Erik G Boman, Sivasankaran Rajamanickam
A Study of Mixed Precision Strategies for GMRES on GPUs
Jennifer A Loe, Christian A Glusa, Ichitaro Yamazaki, Erik G Boman, Sivasankaran Rajamanickam
A survey of numerical methods utilizing mixed precision arithmetic
Ahmad Abdelfattah, Hartwig Anzt, Erik G Boman, Erin Carson, Terry Cojean, Jack Dongarra, Alyson Fox, Mark Gates, Nicholas J Higham, Xiaoye Li, others
Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs
Jennifer A Loe, Christian A Glusa, Ichitaro Yamazaki, Erik G Boman, Sivasankaran Rajamanickam
FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
Alexander Heinlein, Mauro Perego, Sivasankaran Rajamanickam
A survey of numerical methods utilizing mixed precision arithmetic
Ahmad Abdelfattah, Hartwig Anzt, Erik G Boman, Erin Carson, Terry Cojean, Jack Dongarra, Mark Gates, Thomas Grützmacher, Nicholas J Higham, Sherry Li, others
An algebraic sparsified nested dissection algorithm using low-rank approximations
Léopold Cambier, Chao Chen, Erik G Boman, Sivasankaran Rajamanickam, Raymond S Tuminaro, Eric Darve
Performance portable supernode-based sparse triangular solver for manycore architectures
Ichitaro Yamazaki, Sivasankaran Rajamanickam, Nathan Ellingwood
Preparing sparse solvers for exascale computing
Hartwig Anzt, Erik Boman, Rob Falgout, Pieter Ghysels, Michael Heroux, Xiaoye Li, Lois Curfman McInnes, Richard Tran Mills, Sivasankaran Rajamanickam, Karl Rupp, others
Scalable asynchronous domain decomposition solvers
Christian Glusa, Erik G Boman, Edmond Chow, Sivasankaran Rajamanickam, Daniel B Szyld
A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling
Chao Chen, Léopold Cambier, Erik G Boman, Sivasankaran Rajamanickam, Raymond S Tuminaro, Eric Darve
A distributed-memory hierarchical solver for general sparse linear systems
Chao Chen, Hadi Pouransari, Sivasankaran Rajamanickam, Erik G Boman, Eric Darve
Asynchronous one-level and two-level domain decomposition solvers
Christian Glusa, Erik G Boman, Edmond Chow, Sivasankaran Rajamanickam, Paritosh Ramanan
Ensemble grouping strategies for embedded stochastic collocation methods applied to anisotropic diffusion problems
Marta D'Elia, H Carter Edwards, J Hu, E Phipps, Sivasankaran Rajamanickam
FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos
Alexander Heinlein, Axel Klawonn, Sivasankaran Rajamanickam, Oliver Rheinbach
Tacho: memory-scalable task parallel sparse Cholesky factorization
Kyungjoo Kim, H Carter Edwards, Sivasankaran Rajamanickam
Basker: Parallel sparse LU factorization utilizing hierarchical parallelism and data layouts
Joshua D Booth, Nathan D Ellingwood, Heidi K Thornquist, Sivasankaran Rajamanickam
Embedded ensemble propagation for improving performance, portability, and scalability of uncertainty quantification on emerging computational architectures
Eric Phipps, Marta D'Elia, H Carter Edwards, Mark Hoemmen, Jonathan Hu, Sivasankaran Rajamanickam
A survey of direct methods for sparse linear systems
Timothy A Davis, Sivasankaran Rajamanickam, Wissam M Sid-Lakhdar
Basker: a threaded sparse lu factorization utilizing hierarchical parallelism and data layouts
Joshua Dennis Booth, Sivasankaran Rajamanickam, Heidi Thornquist
A hybrid approach for parallel transistor-level full-chip circuit simulation
Heidi K Thornquist, Sivasankaran Rajamanickam
Domain decomposition preconditioners for communication-avoiding Krylov methods on a hybrid CPU/GPU cluster
Ichitaro Yamazaki, Sivasankaran Rajamanickam, Erik G Boman, Mark Hoemmen, Michael A Heroux, Stanimire Tomov
Electrical modeling and simulation for stockpile stewardship
Heidi K Thornquist, Eric R Keiter, Sivasankaran Rajamanickam
Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems
Eric Bavier, Mark Hoemmen, Sivasankaran Rajamanickam, Heidi Thornquist
ShyLU: A Hybrid-Hybrid Solver for Multicore Platforms
Sivasankaran Rajamanickam, Erik Boman, Michael Heroux
A study of combinatorial issues in a sparse hybrid solver
Erik Boman, Sivasankaran Rajamanickam
Enabling next-generation parallel circuit simulation with Trilinos
Chris Baker, Erik Boman, Mike Heroux, Eric Keiter, Siva Rajamanickam, Rich Schiek, Heidi Thornquist
Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate
Yanqing Chen, Timothy A Davis, William W Hager, Sivasankaran Rajamanickam