Based on an idea due to Bardeen and Pearson, we formulate the light-front Hamiltonian problem for SU(N) Yang-Mills theory in (2+1)-dimensions using two continuous space-time dimensions with the remaining space dimension discretized on a lattice. We employ analytic and numerical methods to investigate the string tension and the glueball spectrum in the N →∞ limit. Our preliminary results show qu...

Based on an idea due to Bardeen and Pearson, we formulate the light-front Hamiltonian problem for SU(N) Yang-Mills theory in (2+1)-dimensions using two continuous space-time dimensions and the remaining space dimension discretised on a lattice. We employ analytic and numerical methods to investigate the continuum limit and the glueball spectrum for N = ∞. In this limit, EguchiKawai reduction to...

We have learned that the numerical solution obtained from Euler's method, converges to the exact solution () of the initial value problem ′ = (,), (0) = 0 , as ℎ → 0. We now analyze the convergence of a general one-step method of the form +1 = + ℎΦ(, , ℎ), for some continuous function Φ(, , ℎ). We define the local truncation error of this one-step method by (ℎ) = (+1) − () ℎ − Φ(, (), ℎ). That ...

The numerical solution of Dirichlet's problem for a second order elliptic operator in divergence form with arbitrary nonlinearities in the rst and zero order terms is considered. The mixed nite element method is used. Existence and uniqueness of the approximation are proved and optimal error estimates in L are demonstrated for the relevant functions. Error estimates are also derived in L, 2 q +...

In this paper, we introduced a novel variational iteration method (VIM) for solving fractional wave–like and heat–like equations in a large domain which is improved by adding an auxiliary parameter. The suggested method is very effective and we can control the convergence region very easily. By solving some fractional wave-like and heat-like equations with the proposed method and comparing with...