Applied Mathematics (MAP)

Section Information

Applied Mathematics focuses on the development and use of mathematical methods to solve real-world problems in science, engineering, economics, biology, and industry. The field combines theoretical analysis with computational techniques to model, simulate, and optimize complex systems.

Current research includes differential equations, numerical analysis, optimization, mathematical modeling, probability, and computational mathematics. Advances in high-performance computing, data-driven modeling, and interdisciplinary collaboration are expanding the impact of applied mathematics across diverse domains.

This section publishes theoretical studies, modeling research, computational analyses, algorithm development, and review articles related to practical applications of mathematical methods.

Scope

Differential Equations and Dynamical Systems

• Ordinary and partial differential equations
• Stability and bifurcation analysis
• Nonlinear dynamical systems
• Mathematical modeling of physical processes

Numerical Analysis and Scientific Computing

• Finite element and finite difference methods
• Iterative and direct solution techniques
• Error analysis and convergence studies
• High-performance computational methods

Optimization and Operations Research

• Linear and nonlinear optimization
• Convex analysis and duality theory
• Stochastic optimization
• Applications in engineering and economics

Probability and Statistics

• Stochastic processes and random models
• Statistical inference and estimation
• Time series analysis
• Applications in data science

Mathematical Modeling in Science and Engineering

• Fluid and solid mechanics modeling
• Biological and ecological systems modeling
• Financial and economic modeling
• Environmental and climate models

Computational and Data-Driven Methods

• Machine learning and mathematical foundations
• Inverse problems and parameter estimation
• Multiscale modeling approaches
• Algorithm development for large datasets

Interdisciplinary Applications

• Mathematics in medicine and health sciences
• Energy systems and sustainability modeling
• Industrial process optimization
• Decision science and risk analysis

Editorial Board

Click here to see the Section Editorial Board of “Applied Mathematics (MAP)”.

Papers Published

Click here to see a list of 35 papers published in this section.