Symbolic approximations based on series expansions can be improved by resummation techniques. A heuristic algorithm developed in the field of combinatorics is examined from ...

The authors present two examples of the application of the Multiple Scales solution procedure to single-degree-of-freedom systems (the pendulum equation, and Duffing ...

The classical problem of three bodies with variable masses is considered in the case when the masses of all three bodies vary isotropically. Solutions to the equation of ...

Nonlinearity effects of electrochemical systems kinetics on impedance measurements are re-examined in the low-frequency (LF) domain through symbolic manipulation and ...

The instability of a particle-laden flow subjected to velocity shear and differential particle loading was studied using the perturbation method. The momentum equations for ...

We calculate the perturbative value of the free energy in lattice QCD in three dimensions, up to three loops. Our calculation is performed using the Wilson formulation for ...

Various possibilities offered by the Mathematica system for single particle dynamics analysis are discussed: symbolic computation in Hamiltonian perturbation theory, running ...

In this paper, we present a spectral decomposition of solutions to relativistic wave equations described on horizon-penetrating hyperboloidal slices within a given ...

Let G be a semidirect product of finitely generated Abelian groups. We provide a method for constructing an explicit contraction (special homotopy equivalence) from the ...

We present the program SecDec 2.0, which contains various new features. First, it allows the numerical evaluation of multi-loop integrals with no restriction on the ...