Some specific non-isotropic Jacobi approximations in multiple-dimensions are investigated, which are used for numerical solutions of differential equations on various unbounded domains. The convergence of proposed sch...Some specific non-isotropic Jacobi approximations in multiple-dimensions are investigated, which are used for numerical solutions of differential equations on various unbounded domains. The convergence of proposed schemes are proved. Some efficient algorithms are provided. Numerical results are presented to illustrate the efficiency of this new approach.展开更多
A generalized Gauss-type quadrature formula is introduced, which assists in selection of collocation points in pseudospectral method for differential equations with two-point derivative boundary conditions. Some resul...A generalized Gauss-type quadrature formula is introduced, which assists in selection of collocation points in pseudospectral method for differential equations with two-point derivative boundary conditions. Some results on the related Jacobi interpolation are established. A pseudospectral scheme is proposed for the Kuramoto-Sivashisky equation. A skew symmetric decomposition is used for dealing with the nonlinear convection term. The stability and convergence of the proposed scheme are proved. The error estimates are obtained. Numerical results show the efficiency of this approach.展开更多
An orthogonal system of rational functions is derived from the mapped Laguerre polynomials,which is used for numerical solution of singular differential equations.A model problem is considered.A multiple-step algorith...An orthogonal system of rational functions is derived from the mapped Laguerre polynomials,which is used for numerical solution of singular differential equations.A model problem is considered.A multiple-step algorithm is developed to implement this method.Numerical results show the efficiency of this new approach.展开更多
The dilepton spectrum emitted in the phase transition process of an expanding quark gluon plasma formed in the collisions of 238U - 238U and l84W -l84W at 200 GeV/(cu) is calculated by using the theoretical framework ...The dilepton spectrum emitted in the phase transition process of an expanding quark gluon plasma formed in the collisions of 238U - 238U and l84W -l84W at 200 GeV/(cu) is calculated by using the theoretical framework of relativistic hydrodynamics, including the effect of quark flavor kinetics, and phenomenological SU (3) string model is used in the calculation of the quark flavor kinetics. The calculated results are compared with the experimental data from the Center of European Research of Nucleon SPS and analysis is carried out. The results show that the effects of quark fragmentation and flavor kinetics cause a peak suppression of J /ψ →μ^(+)μ^(-), while the dilepton spectrum increases for small invariant mass. The calculated results show that the phenomena of suppression under the rich-baryon condition is greater than those under the poor-baryon conditions. Under the same conditions of collision, the J / ψ peak suppression produced in 238U - 238U collisions is greater than that in l84W -l84W collisions.展开更多
文摘Some specific non-isotropic Jacobi approximations in multiple-dimensions are investigated, which are used for numerical solutions of differential equations on various unbounded domains. The convergence of proposed schemes are proved. Some efficient algorithms are provided. Numerical results are presented to illustrate the efficiency of this new approach.
文摘A generalized Gauss-type quadrature formula is introduced, which assists in selection of collocation points in pseudospectral method for differential equations with two-point derivative boundary conditions. Some results on the related Jacobi interpolation are established. A pseudospectral scheme is proposed for the Kuramoto-Sivashisky equation. A skew symmetric decomposition is used for dealing with the nonlinear convection term. The stability and convergence of the proposed scheme are proved. The error estimates are obtained. Numerical results show the efficiency of this approach.
基金The work of this author is supported by The Foundation of CAEP 20030658)The work of this author is partially supported by The Shanghai Natural Science Foundation N.00JC14057+1 种基金The Shanghai Natural Science Foundation for Youth N. 01QN85.The work of thi
文摘An orthogonal system of rational functions is derived from the mapped Laguerre polynomials,which is used for numerical solution of singular differential equations.A model problem is considered.A multiple-step algorithm is developed to implement this method.Numerical results show the efficiency of this new approach.
基金the National Natural Science Foundation of China under Grant No.19175063。
文摘The dilepton spectrum emitted in the phase transition process of an expanding quark gluon plasma formed in the collisions of 238U - 238U and l84W -l84W at 200 GeV/(cu) is calculated by using the theoretical framework of relativistic hydrodynamics, including the effect of quark flavor kinetics, and phenomenological SU (3) string model is used in the calculation of the quark flavor kinetics. The calculated results are compared with the experimental data from the Center of European Research of Nucleon SPS and analysis is carried out. The results show that the effects of quark fragmentation and flavor kinetics cause a peak suppression of J /ψ →μ^(+)μ^(-), while the dilepton spectrum increases for small invariant mass. The calculated results show that the phenomena of suppression under the rich-baryon condition is greater than those under the poor-baryon conditions. Under the same conditions of collision, the J / ψ peak suppression produced in 238U - 238U collisions is greater than that in l84W -l84W collisions.
