The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was c...The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.展开更多
The effects of dilatational phase transformation on the target strength of ceramic materi- als are investigated based on Tate's model.The constitutive behavior of materials in different regions (elastic,cracked,pl...The effects of dilatational phase transformation on the target strength of ceramic materi- als are investigated based on Tate's model.The constitutive behavior of materials in different regions (elastic,cracked,plastic and phase transformation)are taken into account.It is found that,with a proper choice of material parameters,the dilatational phase transformation can increase effectively the target strength R_t.This would be of importance in penetration-resistance design.展开更多
We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The former is to fix the numb...We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The former is to fix the number of inner iterations in advance. The latter is to use the inexact Newton method for solution of the linear system of equations that arises at each stage of outer iterations. We give some new choices of iteration parameter and of forcing term, that ensure the convergence of iterations. The performance and efficiency of the proposed iteration is illustrated by numerical examples that represent a wide range of typical systems.展开更多
文摘The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.
基金the Excellent Youth Foundation of Harbin Institute of Technology
文摘The effects of dilatational phase transformation on the target strength of ceramic materi- als are investigated based on Tate's model.The constitutive behavior of materials in different regions (elastic,cracked,plastic and phase transformation)are taken into account.It is found that,with a proper choice of material parameters,the dilatational phase transformation can increase effectively the target strength R_t.This would be of importance in penetration-resistance design.
文摘We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The former is to fix the number of inner iterations in advance. The latter is to use the inexact Newton method for solution of the linear system of equations that arises at each stage of outer iterations. We give some new choices of iteration parameter and of forcing term, that ensure the convergence of iterations. The performance and efficiency of the proposed iteration is illustrated by numerical examples that represent a wide range of typical systems.
