An improved algorithm for evaluation of the product of an exponential function with an error function complement |
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| Institution: | 2. Guangdong Metabolic Disease Research Center of Integrated Chinese and Western Medicine, Key Laboratory of Glucolipid Metabolic Disorder, Ministry of Education of China, Institute of Chinese Medicine, Guangdong Pharmaceutical University, Guangdong TCM Key Laboratory for Metabolic Diseases, Guangzhou, 510006, PR China;3. School of Traditional Chinese Medicine, Guangdong Pharmaceutical University, Guangzhou Higher Education Mega Center, Guangzhou, 510006, PR China;1. Federal Reserve Bank of San Francisco, 101 Market Street, San Francisco, CA 94105, United States;2. Federal ReserveBank of San Francisco, INSEAD, France;1. University of Bath, UK;2. Queen''s University Belfast, UK |
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| Abstract: | Some mathematical CAD packages are inadequate in computing the composite functions involving the product of an exponential function and an error function complement. These functions arise in physical applications, such as problems in diffusion. Their importance warrants a composite treatment. If their component factors are computed individually, discontinuities in the evaluations arises, as shown in some CAD packages. An improved algorithm is presented which overcomes this deficiency, and provides a fast evaluation. Such evaluation is successful even using floating point numbers with single precision. The potential for numerical overflow associated with large arguments has been overcome. |
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