Abstract
Some of the vectorisation techniques are discussed, which are of major importance in the development of a numerical procedure to solve the “time- dependent Hartree-Fock” (TDHF) equation for the homogeneous electron gas. This equation accounts for the dynamical exchange effects in the dielectric function. Mathematically, the problem to be solved amounts to the solution of an integral equation in two variables with a singular kernel. The general outline of the analytical and numerical techniques, as well as the physical aspects of the problem have been described elsewhere, and are only briefly summarised. The present paper merely deals with the global vectorisation, realised in the program, and discusses some examples in quite some detail in order to illustrate the procedures used.
Work supported by the Supercomputer Project of the NFWO (National Fund for Scientific Research, Belgium).
Partially performed in the framework of the collaboration between the Management Unit of the Maritime Environment (MUMM) of the North Sea (Ministry of Public Health ad Environment) and the “ALPHA”-Superscomputer-front-end project (NFWO-UIA).
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© 1989 Plenum Press, New York
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Brosens, F., Devreese, J.T. (1989). Vectorisation Techniques and Dynamic Electron Corrections. In: Devreese, J.T., Van Camp, P.E. (eds) Scientific Computing on Supercomputers. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0819-5_7
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DOI: https://doi.org/10.1007/978-1-4613-0819-5_7
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