The one dimensional diffusion-limited reversible coalescence process with particle input is investigated by using interval method, the steady state and the transition behavior of cluster concentration are derived, and...The one dimensional diffusion-limited reversible coalescence process with particle input is investigated by using interval method, the steady state and the transition behavior of cluster concentration are derived, and the relation between cluster concentration, diffussion coefficient, fragmentation coefficient and injection rate is obtained. Based on the method, the probability distribution of cluster’s occurence can be attained, and when v=0 the scale relation about relaxion time is T∝k -δ,δ=2/3.展开更多
A class of new fundamental functions with compact support called many-knot spline is introduced. The two-scale relation for the fundamental functions is investigated, and the higher order accuracy spline approximation...A class of new fundamental functions with compact support called many-knot spline is introduced. The two-scale relation for the fundamental functions is investigated, and the higher order accuracy spline approximation scheme is constructed by using the available degrees of freedom which come from additional knots. The technique has been efficiently applied to the problems such as time-frequency analysis, computer aided geometric design, and digital signal processing.展开更多
文摘The one dimensional diffusion-limited reversible coalescence process with particle input is investigated by using interval method, the steady state and the transition behavior of cluster concentration are derived, and the relation between cluster concentration, diffussion coefficient, fragmentation coefficient and injection rate is obtained. Based on the method, the probability distribution of cluster’s occurence can be attained, and when v=0 the scale relation about relaxion time is T∝k -δ,δ=2/3.
基金Project supported by the Foundation of the National High Technique Research 863-306-ZT0308-01the National Natural Science Foundation of China (Grant Nos. 19671003, 69873001).
文摘A class of new fundamental functions with compact support called many-knot spline is introduced. The two-scale relation for the fundamental functions is investigated, and the higher order accuracy spline approximation scheme is constructed by using the available degrees of freedom which come from additional knots. The technique has been efficiently applied to the problems such as time-frequency analysis, computer aided geometric design, and digital signal processing.
