The latency insertion method (LIM) has been demonstrated as an optimum algorithm for the transient simulation large networks. However, its stability is not unconditional. This paper reviews the semi-implicit formulation of LIM and examines the stability properties of the formulation using a block matrix approach. Satbility conditions are derived and examples are used to validate the results.

We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in L(R). Running head: Poincaré inequality and P.-S. condition

A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustr...

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear elasticity are used to model the structure, while the Navier-Stokes equations for an incompressible viscous fluid are used to model the fluid. The operator splitting...

Parallel finite difference schemes with high-order accuracy and unconditional stability for solving parabolic equations are presented. The schemes are based on domain decomposition method, i.e., interface values between subdomains are computed by the explicit scheme; interior values are computed by the implicit scheme. The numerical stability and error are derived in the H norm in one dimension...

Applications of scaled telemanipulation into micro or nano world that shows many different features from directly human interfaced tools have been increased continuously. Here, we have to consider many aspects of scaling such as force, position, and impedance. For instance, what will be the possible range of force and position scaling with a specific level of performance and stability? This kno...

In this paper, an efficient and unconditionally stable rectangular domain decomposition algorithm is proposed. The order of accuracy of the prediction scheme of the new algorithm is second. Numerical experiments support efficiency, accuracy, and unconditional stability of the method.

We use an unconditionally stable parallel difference scheme to solve telegraph equation. This method is based on domain decomposition concept and using asymmetric Saul’yev schemes for internal nodes of each sub-domain and alternating group implicit method for sub-domain’s interfacial nodes. This new method has several advantages such as: good parallelism, unconditional stability and better accu...

in this paper , the quintic b-spline collocation scheme is employed to approximate numerical solution of the kdv-like rosenau equation . this scheme is based on the crank-nicolson formulation for time integration and quintic b-spline functions for space integration . the unconditional stability of the present method is proved using von- neumann approach . since we do not know the exact solution...