in recent years, the number of research works devoted to applying the highly accurate numerical schemes, in particular compact finite difference schemes, to numerical simulation of complex flow fields with multi-scale structures, is increasing. the use of compact finite-difference schemes are the simple and powerful ways to reach the objectives of high accuracy and low computational cost. compa...

We present and implement a fourth-order projective dependency parsing algorithm that effectively utilizes both “grand-sibling” style and “tri-sibling” style interactions of third-order and “grand-tri-sibling” style interactions of forth-order factored parts for performance enhancement. This algorithm requires O(n5) time and O(n4) space. We implement and evaluate the parser on two languages—Engl...

In this paper we present an explicit fourth-order method for the integration of Hamilton’s Equations. This method preserves the property that the time evolution of such a system yields a canonical transformation from the initial conditions to the final state. That is, the integration step is an explicit symplectic map. Although the result is first derived for a specific type of Hamiltonian, it ...

A high-order projection scheme was developed for the study of chemically reacting flows in the lowMach number limit. The numerical approach for the momentum transport uses a combination of cell-centered/cell-averaged discretizations to achieve a fourth-order formulation for the pressure projection algorithm. This scheme is coupled with a second-order in time operator-split stiff approach for th...

generalized solution on neumann problem of the fourth order ordinary dierential equation in space w2 (0; b) has been discussed , we obtain the condition on b.v.p when the solution is in classical form. formulation of quintic spline function has been derived and the consistency relations are given.numerical method,based on quintic spline approximation has been developed. spline solution of the...

A fourth order accurate discretization in time and space for the wave equation in first order system formulation is investigated. The unconditional stability of the scheme is established and the performance of the scheme is compared to a second order accurate scheme for a smooth one dimensional problem and it is also applied to a two dimensional problem with piecewise constant coefficients.

Modeling crack initiation and propagation in brittle materials is of great importance to be able predict sudden loss load-carrying capacity prevent catastrophic failure under severe dynamic loading conditions. Second-order phase-field fracture models have gained wide adoption given their ability capture the formation complex patterns, e.g. via merging branching, suitability for implementation w...

Fourth-order differential equations play an important role in many applications science and engineering. In this paper, we present a three-field mixed finite-element formulation for fourth-order problems, with focus on the effective treatment of different boundary conditions that arise naturally variational formulation. Our is based introducing gradient solution as explicit variable, constraine...