This journal is devoted to Applied Mathematics in its broadest sense with an emphasis on the analysis and optimization of systems governed by various classes of differential equations, in particular partial differential equations (PDEs) both stochastic and deterministic. Optimization includes mathematical control theory and dynamic games.

Techniques of interest encompass calculus of variations, homogenization, weak convergence, numerical approximation, and regularization, along with modern methods of linear and non-linear analysis as pertinent to the study of PDEs and optimization theory.

Application areas include physical, chemical, engineering, biological and environmental topics such as: reaction diffusion, mass transport, conservation laws, elasticity, material science, heat transfer, thermodynamics, geophysical, classical fluid mechanics, optimum design, mathematical finance, inverse problems and related pattern recognition, filtering theory,  biology with medical applications.

Papers that emphasize modeling, applications or algorithms are welcome, but are still expected to present novel and significant development of the underlying mathematics.