Sobolev Regularity in Neutron Transport Theory
نویسندگان
چکیده
منابع مشابه
Sobolev Regularity for Refinement Equations via Ergodic Theory
The refinement equation f(x) = ∑N k=0 ck f(2x− k) plays a key role in wavelet theory and in subdivision schemes in approximation theory. This paper explores the relationship of the refinement equation to the mapping τ(x) = 2x mod 1. A simple necessary condition for the existence of an integrable solution to the refinement equation is obtained by considering the periodic cycles of τ . Another si...
متن کاملNeutron Transport Theory and Simulation
Devoted to describing neutron movement in media and the corresponding laws, neutron transport theory is the research basis for transmutation and activation, radiation damage to materials, radiation dose, and biological safety, among other topics. There are two methods for neutron transport calculation: the Monte Carlo method (also called the probabilistic method or the stochastic method) and th...
متن کاملWavelets with Optimal Sobolev Regularity
Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (π/2, π). The results improve those obtai...
متن کاملThe Sobolev Regularity of Reenable Functions the Sobolev Regularity of Reenable Functions
Reenable functions underlie the theory and constructions of wavelet systems on the one hand, and the theory and convergence analysis of uniform subdivision algorithms. The regularity of such functions dictates, in the context of wavelets, the smoothness of the derived wavelet system, and, in the subdivision context, the smoothness of the limiting surface of the iterative process. Since the reen...
متن کاملOn the Regularity of Averages over Spheres for Kinetic Transport Equations in Hyperbolic Sobolev Spaces
We study the smoothing effect of averaging over spheres for solutions of kinetic transport equations in hyperbolic Sobolev spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ISRN Mathematical Analysis
سال: 2012
ISSN: 2090-4665
DOI: 10.5402/2012/379491