The fundamental purpose of the present work is to constitute second order time-stepping methods with inverse-quadratic and inverse-multi-quadratic radial basis function (RBF) interpolation technique solve initial value problems. These improve local convergence numerical solutions by utilizing a free parameter functions. Consistency, stability analysis provided support our claims for each method...

The MRTD adaptive gridding scheme that is based on the Haar expansion basis is discussed for arbitrary wavelet resolutions. Guidelines for the optimization of memory and execution time requirements are presented. A multi-time-stepping procedure enhances further the computational economies o ered by a combination of absolute and relative thresholding of the wavelet values.

Gas-kinetic BGK scheme with symmetric limited positive (SLIP) method, which was developed by Xu and Jameson, is modified and extended to three-dimensional compressible flows for the first time. BGK scheme is an approximate Riemann solver that uses collisional Boltzmann equation as the governing equation for flow evolutions. To demonstrate the robustness and accuracy of the scheme, it is applied...

time, cost and quality are considered as the main components in managing each project. previous researches have mainly focused on the time-cost trade-off problems. recently quality is considered as the most important factor in project�s success, which is influenced by time acceleration that is the less time is spent the more success is gained. in time-cost-quality trade-off problems, each act...

Local mesh refinement significantly influences the performance of explicit timestepping methods for numerical wave propagation. Local time-stepping (LTS) methods improve the efficiency by using smaller time-steps precisely where the smallest mesh elements are located, thus permitting a larger time-step in the coarser regions of the mesh without violating the stability condition. However, when t...

PURPOSE An anterior cruciate ligament (ACL) injury involves a multi-planar injury mechanism. Nevertheless, unexpected multi-planar perturbations have not been used to screen athletes in the context of ACL injury prevention yet could reveal those more at risk. The objective of this study was to compare neuromuscular responses to multi-planar (MPP) and single-planar perturbations (SPP) during a s...

Discrete-state, continuous-time Markov models are widely used in the modeling of biochemical reaction networks. Their complexity often precludes analytic solution, and we rely on stochastic simulation algorithms (SSA) to estimate system statistics. The Gillespie algorithm is exact, but computationally costly as it simulates every single reaction. As such, approximate stochastic simulation algor...

This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is designed for unstructured quadrilateral elements. Time-marching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic. An artificial compressib...