In hot forming process, the workpiece undergoes plastic deformation at high temperature and the microstructure of the workpiece changes according to the plastic deformation. These changes affect the mechanical properties of workpiece. In order to optimize this process, both the plastic deformation of workpiece and its microstructural changes should be taken into consideration. Since material be...

for these devices. But the macro layer of a network can be expanded to go a long way. In the near-term, the smartphone challenge is not about providing the capacity to cope with subscriber datausage, but is related to how the signaling system is configured. To build the networks that will cope with long-term predictions requires a new approach to network construction, heterogeneous networks – m...

In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue problems by the finite element method. This type of multilevel correction method includes multi correction steps in a sequence of finite element spaces. In each correction step, we only need to solve a source problem on a finer finite element space and an eigenvalue problem on the coarsest finite element spac...

We introduce a new structure preserving, second order in time relaxation-type scheme for approximating solutions of the Schr\"odinger-Poisson system. More specifically, we use Crank-Nicolson as stepping mechanism, whilst nonlinearity is handled by means relaxation approach spirit \cite{Besse, KK} nonlinear Schr\"odinger equation. For spatial discretisation standard conforming finite element sch...

Current calculations of complex unsteady flows are prohibitively expensive for use in real engineering applications. Typical flow solvers for unsteady integration employ a fully implicit time stepping scheme, in which the equations are solved by an inner iteration. In order to achieve convergence within each physical time step, a substantial number of pseudo-time steps (typically between 30-100...

We present a new splitting method for time-dependent convention-dominated diffusion problems. The original convention diffusion system is split into two sub-systems: a pure convection system and a diffusion system. At each time step, a convection problem and a diffusion problem are solved successively. A few important features of the scheme lie in the facts that the convection subproblem is sol...

1. A model of the transient, low-threshold voltage-dependent (T-type) Ca2+ current is constructed using recent whole-cell voltage-clamp data from enzymatically isolated rat thalamocortical relay neurons. The T-type Ca2+ current is described according to the Hodgkin-Huxley scheme, using the m3h format, with rate constants determined from the experimental data (22-24 degrees C; extracellular Ca2+...

For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence a Lyapunov functional. We compute maximum time step which can be derived from for 3-step BDF method (BDF3). Applications asymptotic behaviour sequences generated by BDF3 scheme are given.