In this paper, we shall give an Abel type theorem of Jacobi series and then based on it discuss asymptotic expressions near the ellipse of convergence of Jacobi series in complex plane.
In this paper,the growth of analytic function defined by L-S transforms convergent in the right half plane is studied and some properties on the L-S transform F(s)and its relative transforms f(s)are obtained.
In this paper, we study the point vortex method for 2-D Euler equation of incompressible how on the half plane, and the explicit Euler's scheme is considered with the reflection method handling the boundary condit...In this paper, we study the point vortex method for 2-D Euler equation of incompressible how on the half plane, and the explicit Euler's scheme is considered with the reflection method handling the boundary condition. Optimal error bounds for this fully discrete scheme are obtained.展开更多
文摘In this paper, we shall give an Abel type theorem of Jacobi series and then based on it discuss asymptotic expressions near the ellipse of convergence of Jacobi series in complex plane.
基金Foundation item： the National Natural Science Foundation of China （No. 10471048） Specialized Research Fund for the Doctoral Program of Higher Education （No. 20050574002）.
文摘In this paper,the growth of analytic function defined by L-S transforms convergent in the right half plane is studied and some properties on the L-S transform F(s)and its relative transforms f(s)are obtained.
文摘In this paper, we study the point vortex method for 2-D Euler equation of incompressible how on the half plane, and the explicit Euler's scheme is considered with the reflection method handling the boundary condition. Optimal error bounds for this fully discrete scheme are obtained.
