ABSTRACT: The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential ...

ABSTRACT: The purpose of the present work is to construct a nonlinear equation system (85 × 53) using Butcher’s Table and then by solving this system to find the values of all set parameters and ...

以下では、E. Hairer、S. P. Nørsett、G. Wanner らによる名著シリーズ “Solving Ordinary Differential Equations”（日本語訳版: 『常微分方程式の数値解法』）について、詳しく解説します。 本シリーズは、非剛性（Nonstiff）から剛性（Stiff）、さらには微分代数方程式（DAE ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

Abstract: In this paper, continuous-time dynamical systems solving sparse signal recovery problems are presented. The proposed dynamical system is expressed by a nonlinear ODE (ordinary differential ...

Abstract: Traffic prediction is the cornerstone of the intelligent transportation system (ITS), and accurate prediction is essential for planning route, alleviating traffic pressure, and optimizing ...

Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set ...