摘要:

Difficulties encountered by engineering students in learning the shooting method for the numerical solution of boundary value problems is discussed and a remedy proposed. Its connection with parameter estimation is made using an example from chemical kinetics, and a problem in particle dynamics is introduced as a teaching aid.

ISSN:0020-739X    

DOI:10.1080/0020739920230111

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Newton's laws and coded sequences are used to explore sport mathematically. Track and field athletics, American, association, Gaelic and rugby football, golf, rowing, skating, snooker and hockey, among others, provide illustrations. Mathematical considerations include classical mechanics; linear and angular momentum, work, impulse, kinetic and gravitational energy, simple harmonic motion, friction, rolling, rotating frames, Euler angles and projectiles.

ISSN:0020-739X    

DOI:10.1080/0020739920230112

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

By Laplace transforming the Fourier expansion of the odd periodic extension of the square wave and then taking inverse transforms on the result, we arrive at a representation of this periodic function as an infinite combination of delayed step functions. This helps to clarify the connection between solutions obtained for constant coefficient linear differential equations with periodic step forcing functions, when using, on the one hand, the Fourier Series approach and on the other, the Laplace transform [1], [2].

ISSN:0020-739X    

DOI:10.1080/0020739920230113

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor