Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential e...Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained.展开更多
This paper discusses the optimal preconditioning in the domain decomposition method for Wilson element. The process of the preconditioning is composed of the resolution of a small scale global problem based on a coars...This paper discusses the optimal preconditioning in the domain decomposition method for Wilson element. The process of the preconditioning is composed of the resolution of a small scale global problem based on a coarser grid and a number of independent local subproblems, which can be chosen arbitrarily. The condition number of the preconditioned system is estimated by some characteristic numbers related to global and local subproblems. With a proper selection, the optimal preconditioner can be obtained, while the condition number is independent of the scale of the problem and the number of subproblems.展开更多
A perceptual experiment was conducted in which stimuli sliced from 12 StandardChinese syllables spoken in isolation were identified by 10 native speakers of Beijing dialect.The results of the experiment indicate that ...A perceptual experiment was conducted in which stimuli sliced from 12 StandardChinese syllables spoken in isolation were identified by 10 native speakers of Beijing dialect.The results of the experiment indicate that when the pre-onset or post-offest of a tone is extended to a large extent, the initial voiced consonant, the medial, the nasal coda, and the vocalic ending are not related to the tonal pitch; even when the post-offset is extended to a short extent, the nasal coda and the vocalic cnding are neither related to the tona1 pitch. Thus, with regard to the tonal domain of a Standard Chinese monosyllable in isolation, not only the initial voiced consonant and the medial, but also the nasal coda and the vocalic ending are excludedi in other words, the basic contour of Standard Chincse tone in isolation is mainly related to the syllabic vowel and its adjacent transition. Because F0 in the pre-onset and post- onset are not related to the tonal pitch, there is no exact match between F0 contour and tonal pitch.展开更多
he stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by ...he stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle. Representation of solution of the field equation is obtained, and some solvability results are proved.展开更多
文摘Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained.
文摘This paper discusses the optimal preconditioning in the domain decomposition method for Wilson element. The process of the preconditioning is composed of the resolution of a small scale global problem based on a coarser grid and a number of independent local subproblems, which can be chosen arbitrarily. The condition number of the preconditioned system is estimated by some characteristic numbers related to global and local subproblems. With a proper selection, the optimal preconditioner can be obtained, while the condition number is independent of the scale of the problem and the number of subproblems.
文摘A perceptual experiment was conducted in which stimuli sliced from 12 StandardChinese syllables spoken in isolation were identified by 10 native speakers of Beijing dialect.The results of the experiment indicate that when the pre-onset or post-offest of a tone is extended to a large extent, the initial voiced consonant, the medial, the nasal coda, and the vocalic ending are not related to the tonal pitch; even when the post-offset is extended to a short extent, the nasal coda and the vocalic cnding are neither related to the tona1 pitch. Thus, with regard to the tonal domain of a Standard Chinese monosyllable in isolation, not only the initial voiced consonant and the medial, but also the nasal coda and the vocalic ending are excludedi in other words, the basic contour of Standard Chincse tone in isolation is mainly related to the syllabic vowel and its adjacent transition. Because F0 in the pre-onset and post- onset are not related to the tonal pitch, there is no exact match between F0 contour and tonal pitch.
文摘he stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle. Representation of solution of the field equation is obtained, and some solvability results are proved.