supported by the National Natural Science Foundation of China(No.10771031);the Fundamental Research Funds for Central Universities(No.090405013)
The successive overrelaxation-like (SOR-like) method with the real param- eters ω is considered for solving the augmented system. The new method is called the modified SOR-like (MSOR-like) method. The functional ...
supported by the Yunnan Provincial Applied Basic Research Program of China(No. KKSY201207019)
A three-dimensional (3D) predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equa- tions with a free surface. The 3D irregular tank is ...
Project supported by the National Science Foundation for Distinguished Young Scholars of China(No. 11002084);the Shanghai Pujiang Program (No. 07pj14073);the Scientific Research Projectof Shanghai Normal University (No. SK201032)
Based on the assumption of finite deformation, the Hamilton variational principle is extended to a nonlinear elastic Euler-type beam-column structure located on a nonlinear elastic foundation. The corresponding three-...
supported by the Key Disciplines of Shanghai Municipality (Operations Research & Cybernetics, No. S30104);the Shanghai Leading Academic Discipline Project (No. J50101)
In the paper, we extend the implicit iterative method for linear ill-posed operator equations to solve nonlinear ill-posed problems. We show that under some conditions the error sequence of solutions of the nonlinear ...
Project supported by the National Natural Science Foundation of China(No.10461005)
How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducin...
An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. ...
Project supported by MOE's 2004 New Century Excellent Talent Program (NCET)the Applied Basic Research Foundations of Sichuan Province (No.05JY029-068-2)
The preconditioned Gauss-Seidel type iterative method for solving linear systems, with the proper choice of the preconditioner, is presented. Convergence of the preconditioned method applied to Z-matrices is discussed...
Project supported by the Natural Science Foundation of Liaoning Province of China (No.20022021)
Stair matrices and their generalizations are introduced. The definitions and some properties of the matrices were first given by Lu Hao. This class of matrices provide bases of matrix splittings for iterative methods....
The transcendental equation of a true anomaly was written in a power series instead of a differential form. When the sufficient condition of the iterative convergence is satisfied, the relationship between the true an...
the Science foundation of Gansu University of Technology(92114)
Based upon the theory of ardsotropic plates, the unsymmetrical large deformation equations of orthotropic circular plates were derived. By using Fourier series, the partial differential equations of this problem can b...