Arnold, Anton; Ben Abdallah, Naoufel; Negulescu, Claudia WKB-based schemes for the oscillatory 1D Schrödinger equation in the semiclassical limit. (English) Zbl 1230.65078 SIAM J. Numer. Anal. 49, No. 4, 1436-1460 (2011). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65L20 34L40 34E20 42B20 PDFBibTeX XMLCite \textit{A. Arnold} et al., SIAM J. Numer. Anal. 49, No. 4, 1436--1460 (2011; Zbl 1230.65078) Full Text: DOI
Ben Abdallah, N.; Mouis, M.; Negulescu, C. An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs. (English) Zbl 1123.81042 J. Comput. Phys. 225, No. 1, 74-99 (2007). MSC: 81T70 81-04 81Q20 82C70 PDFBibTeX XMLCite \textit{N. Ben Abdallah} et al., J. Comput. Phys. 225, No. 1, 74--99 (2007; Zbl 1123.81042) Full Text: DOI
Ben Abdallah, Naoufel; Méhats, Florian; Negulescu, Claudia Adiabatic quantum-fluid transport models. (English) Zbl 1296.82064 Commun. Math. Sci. 4, No. 3, 621-650 (2006). MSC: 82D37 76X05 76Y05 78A35 82B40 PDFBibTeX XMLCite \textit{N. Ben Abdallah} et al., Commun. Math. Sci. 4, No. 3, 621--650 (2006; Zbl 1296.82064) Full Text: DOI
Ben Abdallah, Naoufel; Negulescu, Claudia A one dimensional quantum transport model with small coherence lengths. (English) Zbl 1009.82020 Transp. Theory Stat. Phys. 31, No. 4-6, 559-578 (2002). MSC: 82D37 81Q05 PDFBibTeX XMLCite \textit{N. Ben Abdallah} and \textit{C. Negulescu}, Transp. Theory Stat. Phys. 31, No. 4--6, 559--578 (2002; Zbl 1009.82020) Full Text: DOI