Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences (FDM) and lowest-order finite element meth...
The analogue of Black–Scholes formula for vanilla call option price in conditions of (B, S)-securities market with delayed response is derived. A special case of continuous-time...
Mesh generation is a critical step in high fidelity computational simulations. High-quality and high-density meshes are required to accurately capture the complex physical phenome...
Yasushi Ito, Alan M. Shih, Anil K. Erukala, Bharat...
This paper investigates the stability of neutral delay-differential systems with mixed multiple time-varying delay arguments. Based on the Lyapunov functional method, and the rela...
Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those ...
The Benjamin-Feir modulational instability effects the evolution of perturbed planewave solutions of the cubic nonlinear Schr¨odinger equation (NLS), the modified NLS, and the ...
In this short note, we revisit the so-called Ermakov–Pinney (EP) equation viewing its properties from a physically motivated perspective. We discuss its ties with the Schr¨odin...