A Supernodal Approach to Sparse Partial Pivoting
SIAM Journal on Matrix Analysis and Applications
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Solving unsymmetric sparse systems of linear equations with PARDISO
Future Generation Computer Systems - Special issue: Selected numerical algorithms
An overview of the Trilinos project
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
AMESOS: a set of general interfaces to sparse direct solver libraries
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Simulation and Verification of Electronic and Biological Systems
Simulation and Verification of Electronic and Biological Systems
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This paper describes work-in-progress toward the development of a dynamic model of cascading failure in power systems that is suitable for High Performance Computing simulation environments. Doing so involves simulating a power grid as a set of differential, algebraic and discrete equations. We describe the general form of the algorithm in use for this simulation and provide details about the implementation using the Trilinos software libraries. Several computational tests illustrate how the proposed approach can be leveraged to optimize the computational efficiency of cascading failure simulation.