Biomass pyrolysis is a fundamental thermochemical conversion process that is of both
industrial and ecological importance. From designing and operating industrial biomass …

An introduction to the mathematical, computational, and analytical techniques used for
modeling biological rhythms, presenting tools from many disciplines and example …

We propose an explicit numerical integration method based on matrix exponential operator
for transient analysis of large-scale circuits. Solving the differential equation analytically, the …

Some real-world applications involve situations where different physical phenomena acting
on very different time scales occur simultaneously. The partial differential equations (PDEs) …

The discretization of nonlinear systems with input time-delay has always been considered of
relevant interest in control system studies. For this reason, two different, new discretization …

We compare six different categories of numerical methods for the evaluation of functions of
the matrix exponential. These functions are required for exponential integrators, and are not …

In this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for
time-dependent Schrödinger–Poisson equations in 3-D spaces. The Fourier spectral …

Exponential integrators are certainly not new, but despite their good properties, they seem to
be absent in the multibody dynamics literature. This article introduces the concept and …

In this manuscript, the two novel numerical methods for stiff ODEsâ the Almost Rungeâ Kutta
(ARK) and Aluffi-Pentini (AP) â are applied to the solution of two large stiff ODE systems that …

Thermal degradation and kinetics for apricots stones have been evaluated under dynamic
conditions through a Thermogravimetric Analysis (TGA). Slow pyrolysis processes were …