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- W125791316 abstract "The discretization of a stiff system of linear ODEs leads to a sequence of systems of linear equations when implicit numerical methods are used. The dynamical behaviours considered in this paper are those modeled by large systems of n ODEs in which the discretized Jacobian J(tk) at step k of the simulation is a positive semidefinite symmetric matrix of the form AkA T , where Ak is a subset of the columns of a sparse matrix A 2 R n◊m (m n) with a fixed sparsity pattern, and Ak+1 is obtained by appending/deleting columns to/from Ak. A sequence of systems with coefficient matrix I n +AkA T (constant ) has to be solved, and its sparse Cholesky factorization is maintained into a static data structure to take advantage of the fact that each system in the sequence is closely related with the previous one. The sparse approach has the added bonus of being parallelizable, and row orderings can be exploited to decrease the computational effort needed when a refactorization has to be done." @default.
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- W125791316 date "2004-01-01" @default.
- W125791316 modified "2023-10-02" @default.
- W125791316 title "A SPARSE ORTHOGONAL FACTORIZATION TECHNIQUE FOR CERTAIN STIFF SYSTEMS OF LINEAR ODES" @default.
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