Efficient algorithmic implementation of the Voigt/complex error function based on exponential series approximation
Abrarov, S. M.
Quine, B. M.
MetadataAfficher la notice complète
We show that a Fourier expansion of the exponential multiplier yields an exponential series that can compute high-accuracy values of the complex error function in a rapid algorithm. Numerical error analysis and computational test reveal that with essentially higher accuracy it is as fast as FFT-based Weideman’s algorithm at a regular size of the input array and considerably faster at an extended size of the input array. As this exponential series approximation is based only on elementary functions, the algorithm can be implemented utilizing freely available functions from the standard libraries of most programming languages. Due to its simplicity, rapidness, high-accuracy and coverage of the entire complex plane, the algorithm is efficient and practically convenient in numerical methods related to the spectral line broadening and other applications requiring error-function evaluation over extended input arrays.
Excepté là où spécifié autrement, la license de ce document est décrite en tant que © 2011. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Showing items related by title, author, creator and subject.
Comparison of Non-Invasive Peripheral Vascular Function to Invasive Measures of Coronary Function in Patients with Suspected Coronary Microvascular Dysfunction Nardone, Massimo (2019-11-22)This thesis examined whether reactive hyperemia peripheral arterial tonometry (RH-PAT) and flow-mediated dilation (FMD), non-invasive measures of peripheral endothelial function, are associated with coronary microvascular ...
The Twenty-Frist Century Pantagruel: The Function of Grotesque Aesthetics in the Contemporary World Protic, Nemanja (2015-08-28)This dissertation examines whether the grotesque, an aesthetic form associated with the carnivalesque literary mode and commonly seen as aesthetically and politically subversive, can resume its function within the contemporary ...
Functional MRI Activation of Inhibitory Control in Adolescents and Young Adults with Multiple Sclerosis Lysenko, Magdalena (2014-07-28)Inhibitory control, defined as the ability to withhold a response, is typically preserved in patients with multiple sclerosis (MS), despite impairment in other executive functions. This study examined the concept of ...