Abstract: In this paper, the consensus problem of heterogeneous multi-agent systems under directed topology is investigated. Specifically, this system is composed of three classes of agents ...

Exasim is an open-source software for generating high-order discontinuous Galerkin (DG) codes to numerically solve parametrized partial differential equations (PDEs) on different computing platforms ...

1. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. 2. Inverse Trigonometric Functions Definition, range, domain, ...

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.

In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in ...

This paper presents In-Context Operator Networks (ICON), a neural network approach that can learn new operators from prompted data during the inference stage without requiring any weight updates.

The control of general nonlinear systems is a challenging task in particular for large-scale models as they occur in the semi-discretization of partial differential equations (PDEs) of, say, fluid ...

Abstract: This article aims at proposing a multistage linear Gauss pseudospectral method (MS-LGPM) for solving the piecewise continuous nonlinear optimal control problem (OCP) with interior-point ...

Partial differential equations (PDEs) are among the most ubiquitous tools used in modeling problems in nature. However, solving high-dimensional PDEs has been notoriously difficult due to the “curse ...

Department of Mathematics, Numerical Analysis, King Abdulaziz University, Jeddah, Saudi Arabia. In this paper we have extended our previous approach associated to two dimension Convection-diffusion ...