EEcient numerical schemes for nonlinear diiusion ltering based on additive operator splitting (AOS) were introduced in 15]. AOS schemes are eecient and unconditionally stable, yet their accuracy is limited. Future applications of nonlinear diiusion ltering may require better accuracy at the expense of a relatively modest cost in computations and complexity. In this report we explore second orde...

A new modified Engquist–Osher-type flux-splitting scheme is proposed to approximate the scalar conservation laws with discontinuous flux function in space. The fact that discontinuity of fluxes space results jump unknown may be reason why it difficult design a high-order solve this hyperbolic law. In order implement WENO reconstruction, we apply compensate for Together third-order TVD Runge–Kut...

background: lateral ridge split technique is a way to solve the problem of the width in narrow ridges with adequate height. simultaneous insertion of dental implants will considerably reduce the edentulism time. materials and methods: twenty-five patients who were managed with ridge splitting technique were enrolled. thirty-eight locations in both jaws with near equal distribution in quadrants ...

In this paper, we present a time splitting scheme for the Schrödinger equation in the presence of electromagnetic eld in the semi-classical regime, where the wave function propagates O(ε) oscillations in space and time. With the operator splitting technique, the time evolution of the Schrödinger equation is divided into three parts: the kinetic step, the convection step and the potential step. ...

In this note we present molecular dynamics integration schemes that combine optimized splitting and gradient methods with exact free rotational motion for rigid body systems and discuss their relative merits. The algorithms analyzed here are based on symplectic, timereversible schemes that conserve all relevant constants of the motion. It is demonstrated that although the algorithms differ in t...

We address the numerical simulation of fluid-structure interaction problems dealing with an incompressible fluid whose density is close to the structure density. We propose a semi-implicit coupling scheme based on an algebraic fractional-step method. The basic idea of a semi-implicit scheme consists in coupling implicitly the added-mass effect, while the other terms (dissipation, convection and...

Although three-dimensional space NRxx(3D-NRxx) method[1] has some useful numerical properties and is valid for big Knudson number, its high computational cost results limited applications. Based on the idea of limitting three-dimensional space Boltzmann equation on two-dimensional space[2], we apply 3D-NRxx method on two-dimensional space, to get two-dimensional NRxx(2D-NRxx) method. In order t...

In this paper, we study the convergence analysis for a robust stochastic structure-preserving Lagrangian numerical scheme in computing effective diffusivity of time-dependent chaotic flows, which are modeled by differential equations (SDEs). Our is based on splitting method to solve corresponding SDEs deterministic subproblem discretized using while random Euler-Maruyama scheme. We obtain sharp...

As a continuous eeort to understand the Godunov-type schemes, following the paper \Projection in this paper we are going to study the gas evolution dynamics of the exact and approximate Riemann solvers. More speciically, the underlying dynamics of Flux Vector Splitting (FVS) and Flux Diierence Splitting (FDS) schemes will be analyzed. Since the FVS scheme and the Kinetic Flux Vector Splitting (...