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The Office of Naval Research's Applied Physical Mathematics program focuses on new foundational theory and experimental approaches to areas concerning wave, energy, heat, and momentum dynamics.

The Office of Naval Research Computational Methods for Decision Making Applied Research Program is composed of three thrusts—Large-scale Distributed Decision-making, Automated Image Understanding and Resource Optimization.

The Office of Naval Research Computational Methods for Decision Making Applied Research Program is composed of three thrusts—Large-scale Distributed Decision-making, Automated Image Understanding and Resource Optimization.

The Office of Naval Research's Mathematical and Resource Optimization program supports basic research in optimization — focusing on the development of theory and algorithms for large-scale optimization problems.

Analytics, Modeling and Simulation for Local and Regional Situation Awareness supports the development of data, analytics, decision tools, and models to support combatant commands in comprehensive understanding of mission environments, together with modeling and simulation efforts to improve wargaming and exercises.

The Office of Naval Research's Polymer Matrix Composites (PMC) program has invested significantly in developing new structural fibers with better thermo-oxidative resistance, new non-toxic resins systems and sandwich cores with enhanced resistance to fire and its propagation, new additives to improve PMC inter-laminar properties, and new resin infusion models and processing tools for improving product quality and lowering manufacturing costs.

The goal of the Office of Naval Research's Undersea Signal Processing program is to develop signal processing algorithms that improve the Navy's ability to detect, identify and locate submarines in shallow and deep ocean environments.

The Office of Naval Research's Ocean Acoustics program supports basic research that addresses fundamental understandings of the physics relating to underwater sound.

The Office of Naval Research's Applied and Computational Analysis program develops and exploits methods in modern and classical mathematical analysis with emphasis on mathematical and computational models of physical phenomena.