background : previous studies have investigated different effects of muscle fatigue on body systems. however, there are no reports on the effect of fatigue protocol and its level on musculotendinous stiffness (mts) of the tricep-surae. this study was designed to compare the effects of 2 levels of submaximal fatigue contraction on mts of triceps-surae. methods: twenty female students by simple r...

in this article, vibration analysis of an euler-bernoulli beam resting on a pasternak-type foundation is studied. the governing equation is solved by using a spectral finite element model (sfem). the solution involves calculating wave and time responses of the beam. the fast fourier transform function is used for temporal discretization of the governing partial differential equation into a set ...

Locally refined meshes severely impede the efficiency of explicit Runge-Kutta (RK) methods for the simulation of time-dependent wave phenomena. By taking smaller time-steps precisely where the smallest elements are located, local time-stepping (LTS) methods overcome the bottleneck caused by the stringent stability constraint of but a few small elements in the mesh. Starting from classical or lo...

The accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The analysis is done by comparing the discrete and exact amplification factors of the equations. It is proved that the usage of stiffness number of the Jacobian matrix is sufficient in order to estimate the complexity of solving ODE problems by explicit integration algorithms. The complexity of implicit integ...

Abstract. The linearized Navier–Stokes equations are solved in two space dimensions using a multigrid method where a semiimplicit Runge–Kutta scheme is the smoother. Explicit time-integration in the streamwise direction is combined with implicit integration in the body-normal direction. Thereby the stiffness of the equations due to the disparate scales in the boundary layer is removed. Reynolds...

We show how stiffness manifests itself in the simulation of chemical reactions at both the continuous-deterministic level and the discrete-stochastic level. Existing discrete stochastic simulation methods, such as the stochastic simulation algorithm and the ~explicit! tau-leaping method, are both exceedingly slow for such systems. We propose an implicit tau-leaping method that can take much lar...

Abstract. We present a finite volume type scheme to solve a transport nephron model. The model consists in a system of transport equations with specific boundary conditions. The transport velocity is driven by another equation that can undergo sign changes during the transient regime. This is the main difficulty for the numerical resolution. The scheme we propose is based on an explicit resolut...

In this paper a new family of high-order finite-difference shock-capturing central schemes for hyperbolic systems with stiff source is presented. The schemes are based on recently developed finite difference discretization on staggered grids, coupled with implicit-explicit (IMEX) time discretization for an efficient treatment of the source term. Numerical tests show the robustness and accuracy ...

We derive exact form of the piecewise-linear finite element stiffness matrix on general non-uniform meshes for integral fractional Laplacian operator in one dimension, where derivation is accomplished Fourier transformed space. With such an formulation at our disposal, we are able to numerically study some intrinsic properties commonly used (e.g., graded mesh), particular, examine their seamles...