Applied Mathematics

Applied mathematics involves applying mathematics to problems arising in fields such as science and engineering in order to develop new or improved methods to meet the challenges of new problems.

The Applied Mathematics group at VLU focuses on the field of partial differential equations.

Differential equations play an important role in modeling physical phenomena or some problems involving functions of many variables. In addition, the Applied Mathematics group also studied numerical analysis methods and applied them to survey some models.

Our Research Objective

The research objective of the STAI Institute of Applied Mathematics group is to solve important problems and models:

The usual Cauchy problem

Prove the existence and uniqueness of solutions of Cauchy problems for partial differential equations.

Cauchy's back in time problem

Investigate the continuous dependence of the solution on the input data and build a replacement solution for the unstable solution.

Illustrated digital model

Investigation of numerical examples illustrating applied models built by partial differential equations.

Highlight Features

Extensive math knowledge

Requires advanced mathematical knowledge of functional analysis and abstract function spaces

Abstract and relational

Highly abstract but closely related to simulated real phenomena.

Atract attention

Attracting the attention of the majority of mathematicians around the world. This is an important area of mathematics to solve many pressing problems.

High difficulty

Applied mathematics is a difficult field. There exist many important open problems that require the use of thinking and the ability to apply multidisciplinary skills.