In this paper, we propose a novel method, using the frameworks of differential inequalities and essentially nonnegative matrices, to construct hyper-rectangular over-approximations of reachable sets ...

[3] Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretizationMethodsX, 2022 DOI: 10.1016/j.mex.2022.101853 ...

The approximations involved in the effective-index method for analyzing the vector modes of rectangular-core dielectric waveguides are examined in detail. It is shown that the effective-index method ...

Letter Published: 17 July 1965 Series Approximations to the Equation of Thermogravimetric Data CHARLES D. DOYLE Nature 207, 290–291 (1965) Cite this article ...

2. The Brouers-Sotolongo Fractal Kinetic Equation In this section we derive the equation and its various approximations encountered in the literature. The starting point is the derivation of the ...

The Journal of Integral Equations and Applications, Vol. 26, No. 3 (FALL 2014), pp. 369-412 (44 pages) We introduce a new "convolution spline" temporal approximation of time domain boundary integral ...

This area is found by integrating an equation across an interval. Understanding this concept is essential for tackling various problems in real-world applications, such as determining distance ...

Existence and uniqueness for semilinear stochastic evolution equations with additive noise by means of finite-dimensional Galerkin approximations is established and the convergence rate of the ...