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Applied Mathematics in Aerospace Science and Engineering : Mathematical Concepts and Methods in Science and Engineering - Angelo Miele

Applied Mathematics in Aerospace Science and Engineering

Mathematical Concepts and Methods in Science and Engineering

By: Angelo Miele (Editor), Attilio Salvetti (Editor)

Hardcover Published: 31st October 1994
ISBN: 9780306447549
Number Of Pages: 514

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This book contains the proceedings ofthe meeting on "Applied Mathematics in the Aerospace Field," held in Erice, Sicily, Italy from September 3 to September 10, 1991. The occasion of the meeting was the 12th Course of the School of Mathematics "Guido Stampacchia," directed by Professor Franco Giannessi of the University of Pisa. The school is affiliated with the International Center for Scientific Culture "Ettore Majorana," which is directed by Professor Antonino Zichichi of the University of Bologna. The objective of the course was to give a perspective on the state-of- the-art and research trends concerning the application of mathematics to aerospace science and engineering. The course was structured with invited lectures and seminars concerning fundamental aspects of differential equa- tions, mathematical programming, optimal control, numerical methods, per- turbation methods, and variational methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. The book includes 20 chapters by 23 contributors from the United States, Germany, and Italy and is intended to be an important reference work on the application of mathematics to the aerospace field. It reflects the belief of the course directors that strong interaction between mathematics and engineering is beneficial, indeed essential, to progresses in both areas.

Slow Variations in Fluid Mechanicsp. 3
Computer-Extended Series in Fluid Mechanicsp. 13
Solving the Equations of Compressible Viscous Flow about Aerospace Configurationsp. 25
Mathematical Problems in the Gas Dynamics of High-Altitude Flightp. 35
Toward a Unification of Potential and Viscous Aerodynamics: Boundary Integral Formulationp. 49
Numerical Solution of the Navier-Stokes Equations for Viscous Compressible Flowsp. 81
Singular Perturbations in Flight Mechanicsp. 115
Multi-Phase Trajectory Optimization Methods with Applications to Hypersonic Vehiclesp. 133
Offline and Online Computation of Optimal Trajectories in the Aerospace Fieldp. 165
Optimal Wind Energy Extraction for Dynamic Soaringp. 221
Introduction to Optimal Trajectories for Aeroassisted Orbital Transferp. 239
Lyapunov Stability Theory Based Control of Uncertain Dynamical Systemsp. 281
Stability Problems in Space Flight Mechanicsp. 293
Numerical Approximations in Analytical Dynamicsp. 323
Effects of Plasticity of Metallic Materials on Fatigue and Fracture Mechanicsp. 363
Mathematical Models and Their Use in Engineeringp. 395
Recent Mathematical Methods for Engineering System Design, Part 1: Overcoming Bellman's Curse of Dimensionality in Large Optimization Problemsp. 437
Recent Mathematical Methods for Engineering System Design, Part 2: System Approach in Engineering Optimizationp. 445
Numerical Treatment of Quasi-Singular Integrals in Dynamic Response Problemsp. 471
Symbolic Calculus Computations in the Aerospace Fieldp. 493
Indexp. 509
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306447549
ISBN-10: 0306447541
Series: Mathematical Concepts and Methods in Science and Engineering
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 514
Published: 31st October 1994
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 2.02