The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<b...

The marching cubes [7,15] method demonstrated that isosurface extraction can be reduced, using a divide-and-conquer approach, to solving a local triangulation problem. In addition, the marching cubes method proposed a simple and efficient local triangulation using a lookup table. However, the marching cubes did not address the divide portion of the approach, i.e., how to efficiently search a la...

In [4], the authors have proposed a generalization of the classical Fast Marching Method of Sethian for the eikonal equation in the case where the normal velocity depends on space and time and can change sign. The goal of this paper is to propose a modified version of the Generalized Fast Marching Method proposed in [4] for which we state a general comparison principle. We also prove the conver...

A general finite-difference procedure is presented for the calculation of steady, two-dimensional 'parti-ally-parabolic' flows, with special reference to turbine cascade problems. It can be used for incompressible, subsonic, supersonic or transonic flows. It can be characterised as an 'iterative space-marching' method. The method is more economical in computer storage than time-marching procedu...

the most accurate method for calculating the aeroheating is numerical solution method. using finite volume method to solve the navier-stokes equations in time is very time consuming. so by using the finite difference algorithm, transfer equations to curvature coordinate by the mapping function, and combination of the viscous shock layer and similarity of boundary layer, the ctca code was develo...

One of the most popular methods to solve a time-domain integral equation (TDIE) is the marching-on in time (MOT) method. Recently, a new method called marching-on in degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time instability of the MOT method. The use of an entire domain basis for the time variable eliminates the requirement...

This paper presents the basic principles for the visualization of objects which are defined by implicit functions and CSG trees. The basic principles (Marching cubes, Marching tetrahedra and Marching triangles) for iso-surfaces rendering of such objects are compared. A new fast modification of the Marching triangles algorithm is presented and compared with others algorithms. It is based on the ...

A m ulti-grid, ux-diierence-split, nite-volume code, VULCAN, is presented for solving the elliptic and parabolized form of the equations governing three-dimensional, turbulent, calorically perfect and non-equilibrium chemically reacting ows. The space marching algorithms developed to improve convergence rate and or reduce computational cost are emphasized. The algorithms presented are extension...