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A time-splitting spectral scheme for the Maxwell-Dirac system
Maxwell-Dirac system time-splitting spectral method semi-classical asymptotics WKB-expansion
2012/5/24
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic reg...
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Kinetic equations discrete velocity models semi Lagrangian schemes Boltzmann-BGK equation 3D simulation
2012/4/16
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, b...
Additional Recursion Relations, Factorizations, and Diophantine Properties Associated with the Polynomials of the Askey Scheme
Additional Recursion Factorizations Diophantine Properties
2009/9/4
In this paper, we apply to (almost) all the “named” polynomials of the Askey scheme, as defined by their standard three-term recursion relations, the machinery developed in previous papers. For each o...