Wang, Xiao-Gang; Carrington, Tucker jun. Parallel methods for high-dimensional quantum dynamics. (English) Zbl 1205.81023 Comput. Phys. Commun. 181, No. 3, 455-461 (2010). Summary: In this communication we propose new schemes for parallelizing the bend matrix-vector product required to compute spectra, cross-sections, etc. using iterative methods. The new schemes are compared to those already in the literature and results demonstrating the advantage of our best scheme are given for CH\(_5^+\). We find that the best scheme parallelizes over a single quadrature index. This enables one to exploit the favorable scaling product basis matrix-vector products. MSC: 81-08 Computational methods for problems pertaining to quantum theory 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis 81U05 \(2\)-body potential quantum scattering theory 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics Keywords:parallelization; Lanczos; quantum dynamics PDFBibTeX XMLCite \textit{X.-G. Wang} and \textit{T. Carrington jun.}, Comput. Phys. Commun. 181, No. 3, 455--461 (2010; Zbl 1205.81023) Full Text: DOI References: [1] Bacic, Z.; Light, J., Annu. Rev. Phys. Chem., 40, 469 (1989) [2] Bowman, J.; Carrington, T.; Meyer, H.-D., Mol. Phys., 106, 2145 (2008) [3] Schinke, R., Photodissociation Dynamics (1993), Cambridge University Press: Cambridge University Press Cambridge, UK [4] Miller, W. H., J. Phys. Chem. A, 102, 793 (1998) [5] Kosloff, D.; Kosloff, R., J. Comput. Phys., 52, 35 (1983) [6] Park, T. J.; Light, J. C., J. Chem. 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