The complex-valued modulating vectors for the subcarriers consist of two kinds of components: One is the information-bearing components superposed with pseudo-randomized phases and the other is the suppression compone...The complex-valued modulating vectors for the subcarriers consist of two kinds of components: One is the information-bearing components superposed with pseudo-randomized phases and the other is the suppression components with specified scrambling phases. The pseudo randomized phases are generated according to the predefined polynomial and mapping function whereas the scrambling phases are from a gradient algorithm. The simulation results verify the rationality and validity of the phase scrambling.展开更多
A total variation diminishing-weighted average flux （TVD-WAF）-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed. The one-dimensional governing e...A total variation diminishing-weighted average flux （TVD-WAF）-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed. The one-dimensional governing equations were rewritten in the conservative form and then discretized on a uniform grid. The finite volume method was used to discretize the flux term while the remaining terms were approximated with the finite difference method. The second-order TVD-WAF method was employed in conjunction with the Harten-Lax-van Leer （HLL） Riemann solver to calculate the numerical flux, and the variables at the cell interface for the local Riemann problem were reconstructed via the fourth- order monotone upstream-centered scheme for conservation laws （MUSCL）. The time marching scheme based on the third-order TVD Runge- Kutta method was used to obtain numerical solutions. The model was validated through a series of numerical tests, in which wave breaking and a moving shoreline were treated. The good agreement between the computed results, documented analytical solutions, and experimental data demonstrates the correct discretization of the governing equations and high accuracy of the proposed scheme, and also conforms the advantages of the proposed shock-capturing scheme for the enhanced version of the Boussinesq model, including the convenience in the treatment of wave breaking and moving shorelines and without the need for a numerical filter.展开更多
This article reports the results of researches by definition of optimum schemes of accommodation and density standings of tomatoes in 2009-2011 in conditions of Tashkent area of Republic Uzbekistan. Experiences were s...This article reports the results of researches by definition of optimum schemes of accommodation and density standings of tomatoes in 2009-2011 in conditions of Tashkent area of Republic Uzbekistan. Experiences were spent with domestic sorts Uzbekistan and Shark Yulduzi. The following schemes of accommodation and plants of density standing were tested： 70×30 cm and 90×23 cm at density of standing of 47,619 plants/hectares; 70×35 cm and 90×27 cm, 40,816 plants/hectares; 70×40 cm and 90×31 cm, 35,774 plants/hectares. The area of one plant feeding was 0.21, 0.245 and 0.28 ms. Schemes of accommodation and the area of plant feeding within the limits of the tested parameters do not render essential effect upon speed of plant development. Some acceleration （for 1-2 days） introductions into flowering are noted only at increase in the area of plant feeding with 0.21 ms up to 0.28 m^2. It was established that granting to plants of the greater feeding area as due to increase in distance between plants in the lines, and increases in row width strengthens growth of an elevated vegetative part of plants, especially due to increase amount of lateral branches. The greatest general and commodity harvest and the largest fruits sort ＂Uzbekistan＂ forms at density of standing in 40,816 plants/hectares, at schemes 90×27 cm and 70×35 cm, and more compact sort ＂Shark Yulduzi＂ at density of standing of 47,619 plants/hectares and the scheme 90×23 cm.展开更多
Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1...Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1 scheme is proved to be O(N^(-2)) convergent for IVPs on suitably graded meshes with N points, thereby improving the O(N^(-(2-α))) convergence rate of the standard L1 scheme. The analysis relies on a delicate decomposition of the temporal truncation error that yields a sharp dependence of the order of convergence on the degree of mesh grading used. This averaged L1 scheme can be combined with a finite difference or piecewise linear finite element discretization in space for IBVPs, and under a restriction on the temporal mesh width, one gets again O(N^(-2)) convergence in time, together with O(h^(2)) convergence in space,where h is the spatial mesh width. Numerical experiments support our results.展开更多
文摘The complex-valued modulating vectors for the subcarriers consist of two kinds of components: One is the information-bearing components superposed with pseudo-randomized phases and the other is the suppression components with specified scrambling phases. The pseudo randomized phases are generated according to the predefined polynomial and mapping function whereas the scrambling phases are from a gradient algorithm. The simulation results verify the rationality and validity of the phase scrambling.
基金supported by the National Natural Science Foundation of China(Grant No.51579034)the Open Fund of the Key Laboratory of Ocean Circulation and Waves,Chinese Academy of Sciences(Grant No.KLOCW1502)
文摘A total variation diminishing-weighted average flux （TVD-WAF）-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed. The one-dimensional governing equations were rewritten in the conservative form and then discretized on a uniform grid. The finite volume method was used to discretize the flux term while the remaining terms were approximated with the finite difference method. The second-order TVD-WAF method was employed in conjunction with the Harten-Lax-van Leer （HLL） Riemann solver to calculate the numerical flux, and the variables at the cell interface for the local Riemann problem were reconstructed via the fourth- order monotone upstream-centered scheme for conservation laws （MUSCL）. The time marching scheme based on the third-order TVD Runge- Kutta method was used to obtain numerical solutions. The model was validated through a series of numerical tests, in which wave breaking and a moving shoreline were treated. The good agreement between the computed results, documented analytical solutions, and experimental data demonstrates the correct discretization of the governing equations and high accuracy of the proposed scheme, and also conforms the advantages of the proposed shock-capturing scheme for the enhanced version of the Boussinesq model, including the convenience in the treatment of wave breaking and moving shorelines and without the need for a numerical filter.
文摘This article reports the results of researches by definition of optimum schemes of accommodation and density standings of tomatoes in 2009-2011 in conditions of Tashkent area of Republic Uzbekistan. Experiences were spent with domestic sorts Uzbekistan and Shark Yulduzi. The following schemes of accommodation and plants of density standing were tested： 70×30 cm and 90×23 cm at density of standing of 47,619 plants/hectares; 70×35 cm and 90×27 cm, 40,816 plants/hectares; 70×40 cm and 90×31 cm, 35,774 plants/hectares. The area of one plant feeding was 0.21, 0.245 and 0.28 ms. Schemes of accommodation and the area of plant feeding within the limits of the tested parameters do not render essential effect upon speed of plant development. Some acceleration （for 1-2 days） introductions into flowering are noted only at increase in the area of plant feeding with 0.21 ms up to 0.28 m^2. It was established that granting to plants of the greater feeding area as due to increase in distance between plants in the lines, and increases in row width strengthens growth of an elevated vegetative part of plants, especially due to increase amount of lateral branches. The greatest general and commodity harvest and the largest fruits sort ＂Uzbekistan＂ forms at density of standing in 40,816 plants/hectares, at schemes 90×27 cm and 70×35 cm, and more compact sort ＂Shark Yulduzi＂ at density of standing of 47,619 plants/hectares and the scheme 90×23 cm.
基金supported by National Natural Science Foundation of China (Grant Nos. 12101509, 12171283, 12171025 and NSAF-U1930402)the Science Foundation Program for Distinguished Young Scholars of Shandong (Overseas) (Grant No. 2022HWYQ-045)。
文摘Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1 scheme is proved to be O(N^(-2)) convergent for IVPs on suitably graded meshes with N points, thereby improving the O(N^(-(2-α))) convergence rate of the standard L1 scheme. The analysis relies on a delicate decomposition of the temporal truncation error that yields a sharp dependence of the order of convergence on the degree of mesh grading used. This averaged L1 scheme can be combined with a finite difference or piecewise linear finite element discretization in space for IBVPs, and under a restriction on the temporal mesh width, one gets again O(N^(-2)) convergence in time, together with O(h^(2)) convergence in space,where h is the spatial mesh width. Numerical experiments support our results.
基金This work was partially supported by NSFC Project （Grant No. 11031006, 91130002, 11171281）, the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department （Grant No. 2011FJ2011）, Hunan Provincial Natural Science Foundation of China （Grant No. 12JJ3010）.
