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Deterministic CPU multithreading: supernodal Cholesky, parallel elements, LBM blocks (#50)
* parallel: deterministic thread pool helpers for the solvers (fixed partitions, ordered results) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * solver: supernodal left-looking Cholesky, multithreaded with a fixed operation order Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * solver: parallel element matrices, stresses, Lanczos block solves and products (sums in the sequential order) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * explicit: element updates in parallel, nodal forces added in element order (bit-identical to the sequential loop) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * lbm: collision and streaming by fixed cell blocks in parallel, wall forces in link order (bit-identical) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * engine: threads setting for the solve commands (session default from MODELCRAFT_THREADS or the cores); bit-identity test on 1, 2 and 7 threads Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm * docs: rayon threads in ADR 0001, the parallel crate, supernodal Cholesky Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm --------- Co-authored-by: jyviko <2501648+jyviko@users.noreply.github.com> Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
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- Ordering: A. George, SIAM J. Numer. Anal. 10(2):345–363, 1973; H. D. Simon, Computing Systems
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in Engineering 2:135–148, 1991.
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- Sparse Cholesky: T. A. Davis, *Direct Methods for Sparse Linear Systems*, SIAM 2006; J. W. H.
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Liu, SIAM J. Matrix Anal. Appl. 11(1):134–172, 1990.
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Liu, SIAM J. Matrix Anal. Appl. 11(1):134–172, 1990; supernodes: J. W. H. Liu, E. G. Ng, B. W.
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Peyton, SIAM J. Matrix Anal. Appl. 14(1):242–252, 1993; left-looking supernodal factorization:
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E. Ng, B. W. Peyton, SIAM J. Sci. Comput. 14(5):1034–1056, 1993; parallel block factorization:
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E. Rothberg, A. Gupta, SIAM J. Sci. Comput. 15(6):1413–1439, 1994.
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- Eigenvalues: T. Ericsson, A. Ruhe, Math. Comp. 35(152):1251–1268, 1980; R. G. Grimes, J. G.
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Lewis, H. D. Simon, SIAM J. Matrix Anal. Appl. 15(1):228–272, 1994; B. N. Parlett, *The
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Symmetric Eigenvalue Problem*, SIAM 1998; G. H. Golub, C. F. Van Loan, *Matrix Computations*,
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