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# Stable Parallel Algorithms for Two-Point Boundary Value Problems

@article{Wright1992StablePA, title={Stable Parallel Algorithms for Two-Point Boundary Value Problems}, author={Stephen J. Wright}, journal={SIAM J. Scientific Computing}, year={1992}, volume={13}, pages={742-764} }

- Published 1992 in SIAM J. Scientific Computing
DOI:10.1137/0913044

Some of the most widely used algorithmsfor two-point boundaryvalue ODEs, namely nite diierence and collocation methods and standard multiple shooting, proceed by setting up and solving a structured system of linear equations. It is well known that the linear system can be set up eeciently in parallel; we show here that a structured orthogonal factorization technique can be used to solve this system, and hence the overall problem, in an eecient, parallel, and stable way.Â

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