Chebyshev spectral collocation methods (known as El-Gendi method [SE El-Gendi,
Chebyshev solution of differential integral and integro-differential equations, Comput. J. 12 …

This paper revisits the generalized pseudospectral (GPS) method on the calculation of
various radial expectation values of atomic systems, especially on the spatially confined …

In this paper, a well-conditioned collocation method is constructed for solving general p th
order linear differential equations with various types of boundary conditions. Based on a …

In solving semilinear initial boundary value problems with prescribed non-periodic boundary
conditions using implicit–explicit and implicit time step** schemes, both the function and …

We introduce a hybrid Gegenbauer (ultraspherical) integration method (HGIM) for solving
boundary value problems (BVPs), integral and integro-differential equations. The proposed …

In this paper we introduce a new sequence of polynomials, which follow the same recursive
rule of the well-known Lucas-Lehmer integer sequence. We show the most important …

We perform a detailed numerical investigation of the dynamics of a single component
“explicitly broken symmetry” λ φ 4 field theory in 1+ 1 dimensions, using a Schwinger-Dyson …

Traditionally, finite differences and finite element methods have been by many regarded as
the basic tools for obtaining numerical solutions in a variety of quantum mechanical …

In this paper we discuss two methods of resumming the leading and next to leading order in
1/N diagrams for the quartic O (N) model. These two approaches have the property that they …

This paper treats definite integrations numerically using Gegenbauer quadratures. The
novel numerical scheme introduces the idea of exploiting the strengths of the Chebyshev …