This paper, we discuss a class of second order nonlinear neutral differential equations with variable coefficients and variable deviations， Sharp conditions are established for all bounded solutions of the equations ...This paper, we discuss a class of second order nonlinear neutral differential equations with variable coefficients and variable deviations， Sharp conditions are established for all bounded solutions of the equations to be oscillatory， Linearized oscillation criteria of the equations are also given，展开更多
In this paper, we present a new successive approximation damped Newton method for the nonlinear complementarity problem based on its equivalent nonsmooth equations. Under suitable conditions, we obtain the global conv...In this paper, we present a new successive approximation damped Newton method for the nonlinear complementarity problem based on its equivalent nonsmooth equations. Under suitable conditions, we obtain the global convergence result of the proposed algorithms. Some numerical results are also reported.展开更多
This paper provides an convergence analysis of Toe method for 3D eddy-current problems by finite element approximation using ungauged electrical vector potential. Error estimates in finite time are given. And it is ve...This paper provides an convergence analysis of Toe method for 3D eddy-current problems by finite element approximation using ungauged electrical vector potential. Error estimates in finite time are given. And it is verified that provided the time-stepsize δt is sufficiently small, the proposed algorithm yields yields for finite time T an error of O(h+δt) in the L^2-norm for the electric field E =ρ↓Δ×T,where h is the mesh size.展开更多
文摘This paper, we discuss a class of second order nonlinear neutral differential equations with variable coefficients and variable deviations， Sharp conditions are established for all bounded solutions of the equations to be oscillatory， Linearized oscillation criteria of the equations are also given，
文摘In this paper, we present a new successive approximation damped Newton method for the nonlinear complementarity problem based on its equivalent nonsmooth equations. Under suitable conditions, we obtain the global convergence result of the proposed algorithms. Some numerical results are also reported.
文摘This paper provides an convergence analysis of Toe method for 3D eddy-current problems by finite element approximation using ungauged electrical vector potential. Error estimates in finite time are given. And it is verified that provided the time-stepsize δt is sufficiently small, the proposed algorithm yields yields for finite time T an error of O(h+δt) in the L^2-norm for the electric field E =ρ↓Δ×T,where h is the mesh size.
