NCSA, Sofia, Bulgaria

Course and Workshop on Parallel Numerical Linear Algebra with Applications

COURSE AND WORKSHOP ON PARALLEL NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Sofia, March 28 – 31, 2017

The course will present state of the art topics in the development of parallel direct and iterative methods for linear systems with sparse matrices. Some dedicated hand-on sessions will take place.

Sparse matrices:

  • Renumbering, structure, properties, assembling;
  • Mesh generation, graph model, graph partitioning;
  • Hands-on session with ParMETIS.

Direct solvers:

  • Elimination strategies, elimination graph, factorization, complexity;
  • Parallel methods and algorithms, balancing the computations and communications;
  • Hands-on session with MUMPS.

Iterative solvers:

  • Krylov subspace methods, convergence, parallel implementation;
  • Preconditiong, algebraic multigrid (AMG), robustness, parallel scalability;
  • Hands-on session with parallel AMG solvers.

The workshop will address application driven topics including but not limited to: parallel scalability of basic numericallinear algebra algorithms:

  • tuning/optimization of threaded and vectorised functions;
  • Intel MKL;
  • parallel implementation of finite difference, finite element, finite volume, etc. mesh methods;
  • balancing/overlapping the computations and communications;
  • balancing sparse and dense matrices computations;
  • applications in computational mechanics, biomedical and environmental engineering;
  • sparse matrix applications in advanced voxel image segmentation.
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