This multidisciplinary volume features invited contributions on mathematical applications in naval engineering. Seeking a more holistic approach that transcends current scientific boundaries, leading experts present interdisciplinary instruments and models on a broad range of topics. Each chapter places special emphasis on important methods, research directions, and applications of analysis within the field. Fundamental scientific and mathematical concepts are applied to topics such as the butterfly structure of the FFT, the acoustic impedance of pistons in a two-layer medium, deterministic batch trackers, spline equations, moving horizons estimation, membership games for planning sensor networks, statistical models of inertial sensors, random flight searches in bounded domains, the acoustics of a mixed porosity felt airfoil, and a novel aft boundary condition for a towed flexible cylinder.
Carefully peer-reviewed and pedagogically presented for a broad readership, this volume is perfect for graduate and postdoctoral students interested in interdisciplinary research. Researchers in applied mathematics and sciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, this volume hopes to inspire interdisciplinary understanding and collaboration.
Anthony Ruffa is the Director of Transition at the Naval Undersea Warfare Center (NUWC), Newport, RI.
Bourama Toni is full professor and chair of the Department of Mathematics at Howard University, Washington DC.
Chapter 01- Impedance of pistons on a two layer medium with inviscid homogeneous flow.- Chapter 02- Acoustics of a mixed porosity felt airfoil.- Chapter 03- Generalizing the Butterfly Structure of the FFT.- Chapter 04- Development of an Aft Boundary Condition for a Horizontally Towed Flexible Cylinder.- Chapter 05- Tracking with Deterministic Batch Trackers.- Chapter 06- Moving Horizons Estimation for Wheelchair Trajectory Repeatability in the Home.- Chapter 07- Exact Solutions to the Spline Equations.- Chapter 08- Distributed Membership Games for Planning Sensor Networks.- Chapter 09- Statistical Models of Inertial Sensors and Integral Error Bounds.- Chapter 10- Developing Efficient Random Flight Searches in Bounded Domains.