Applied Mathematics in Aerospace Science and Engineering / Edition 1

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Overview

Strong and ongoing interactions between researchers in mathematics and engineering are vital to the progress of both disciplines and essential to the development of innovative aerospace technologies. This compilation of invited papers presents the state-of-the-art and current research trends in the application of mathematics to aerospace science and engineering. Internationally renowned experts provide broad coverage of advanced topics, thoroughly discussing the fundamental aspects of analytical and numerical methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. Chapters include new studies on control of uncertain systems, computational fluid dynamics, optimal trajectories for aeroassisted orbital transfer, numerical methods for aircraft design, singular perturbation methods in flight mechanics, and perturbation methods in fluid mechanics. The latest collection of authoritative research on the field, Applied Mathematics in Aerospace Science and Engineering will be an important reference for aerospace researchers, engineers, and designers.
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Editorial Reviews

Booknews
A compilation of invited papers that presents the state-of-the-art and current research trends in the application of mathematics to aerospace science and engineering, discussing the fundamental aspects of analytical and numerical methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarified gas dynamics, and solid mechanics. Included are new studies on control of uncertain systems; computational fluid dynamics; optimal trajectories for aeroassisted orbital transfer; numerical methods for aircraft design; singular perturbation methods in flight mechanics; and perturbation methods in fluid mechanics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Slow Variations in Fluid Mechanics; M. Van Dyke. Boltzmann Equations and Rarefied Gas Dynamics; C. Cercignani. Lyapunov-Theory-Based Control of Uncertain Systems; G. Leitmann. Numerical Approximations in Analytical Dynamics; M. Borri. Mathematical Models and Their Use in Engineering; E. Antona. Trajectory Optimization and Guidance of a Future Space Transportation System; K. Well. Effects of Plasticity of Metallic Materials on Fatigue and Fracture Mechanics; A. Frediani. Some Recent Mathematical Methods for Engineering System Design; J. Sobieski. Solving the Equations of Compressible Viscous Flow about Aerospace Configurations; R. MacCormack. An Introduction to Optimal Trajectories for Aeroassisted Orbital Transfer; A. Miele. Singular Perturbation in Flight Mechanics; A. Calise. Decomposition Methods in the Numerical Simulation of Aerodynamics; A. Quarteroni. Nonlinear Unsteady Compressive Aerodynamics and Airplanes and Helicopters; L. Morino. 8 additional articles. Index.

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