This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; second-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.

Iterative Solution of Large Linear Systems (Dover Books on Mathematics)

Science & Math

David M. Young

Mathematics

Dover Publications

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. Assuming minimal mathematical background, it profiles the relative merits of several general iterative procedures. Topics include polynomial acceleration of basic iterative methods, Chebyshev and conjugate gradient acceleration procedures applicable to partitioning the linear system into a “red/black” block form, adaptive computational algorithms for the successive overrelaxation (SOR) method, and computational aspects in the use of iterative algorithms for solving multidimensional problems. 1981 edition. 48 figures. 35 tables.

Applied Iterative Methods (Dover Books on Mathematics)

Louis A. Hageman

New Day

Combining nostalgia and historical detail, David Young tells the colorful story of transportation in Chicago, from the plank roads of the 1850s to the streetcar straphangers of the 1920s to the articulated buses of the 1990s. Illustrated with more than 90 photographs and maps, Chicago Transit reveals the political shenanigans, business deals, and technological changes behind the transportation system that made Chicago "the city that works."

Chicago Transit: An Illustrated History

History

Americas

Northern Illinois University Press

From the dawn of flight, Chicago has played a vital role in the development of aviation. Favored by geography and a superb network of railroads, the Windy City rapidly became the nation's crossroad. Young's richly illustrated history portrays the inventors, entrepreneurs, and aviators who conquered the skies and made Chicago the nation's premier hub for air travel and transport. Aviation's colorful figures come to life as Young recounts tales of the pilots, patrons, and passengers who sparked public interest in the early days of flight. Beginning with Chicago's first aviation event—a balloon ascension on July 4, 1855—Young traces the local personalities and technologies that helped make the dream of flight a reality. He offers the most complete account to date of pioneer Chicago aviator Octave Chanute, whose series of daring glider experiments led to international attention and a friendship with the Wright brothers, who sought his advice before their landmark flight at Kitty Hawk. The Windy City's golden age of aviation began in 1910, when a group of wealthy flying enthusiasts formed the Aero Club of Illinois. Fascinated audiences flocked to see the club's spectacular aviation shows and to visit Cicero Field, the place where many of America's first aviators learned to fly. Prominent public figures of the day included Harold McCormick, the millionaire patron of early aviation; Charles "Pop" Dickinson, who gained fame as the nation's oldest pilot; and Katherine Stinson, who at Cicero Field became the first woman to perform the loop-the-loop maneuver. Dozens of devastating air crashes over the years fueled America's early fear of flying. Chicago witnessed its share of air tragedies, from the Wingfoot blimp disaster of 1919 that caused the city to consider a ban on flying over its borders to the 1979 crash of a DC-10 jumbo jet at O'Hare that helped doom the career of that airplane. As Young investigates these crashes—as well as the mysterious legend of the "Great Lakes Triangle"—he sheds light on the evolution of airline safety. Aviation progress in a major city inevitably involves the continuous, often contentious, campaign for bigger and better airports. Young analyzes Midway's birth, death, and rebirth as well as the city's decision in the late 1960s to build a new runway at O'Hare, which caused a political furor over noise in the suburbs. At the end of the twentieth century, statewide controversy erupted again over the decision to reconfigure O'Hare, renewing the debate over airport expansion. Engagingly written and strikingly illustrated, Chicago Aviation is the only comprehensive history of the city's crucial contributions to the first century of powered flight.

Chicago Aviation: An Illustrated History

Mission Albania

Christian Focus Publications Ltd

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Books by David M. Young