Calculating firing tables in 18th and 19th centuries

Abstract : In this talk, I would like to explore the various methods used during 18th and 19th centuries to numerically integrate the ballistic differential equation and to calculate firing tables for the needs of artillery. Throughout this period, there has been an interesting interaction between analytic theory of differential equations, numerical and graphical techniques of integration, and empirical research by means of experimental measures. Mathematicians, ballisticians and artillerymen, although belonging to different milieus, collaborated and inspired themselves mutually. All this led however to a relative failure, both experimentally to find a good law of air resistance, and mathematically to find a simple solution of the ballistic equation. Mathematical research on the ballistic equation has played nevertheless the role of a laboratory where the modern numerical analysis was able to develop. Mathematicians have indeed been able to test on this recalcitrant equation all possible approaches to calculate the solution of a differential equation. There is no doubt that these trials have helped to organize the domain into an autonomous discipline at the beginning of the 20th century.
Type de document :
Communication dans un congrès
SC2011 - International Conference on Scientific Computing, Oct 2011, Cagliari, Italy. 2011
Liste complète des métadonnées

http://hal.univ-reunion.fr/hal-01188053
Contributeur : Nicolas Alarcon <>
Soumis le : vendredi 28 août 2015 - 13:25:51
Dernière modification le : jeudi 15 novembre 2018 - 20:27:31

Identifiants

  • HAL Id : hal-01188053, version 1

Collections

Citation

Dominique Tournès. Calculating firing tables in 18th and 19th centuries. SC2011 - International Conference on Scientific Computing, Oct 2011, Cagliari, Italy. 2011. 〈hal-01188053〉

Partager

Métriques

Consultations de la notice

83