Abstract
The Brayton-Gustavson-Hatchel (BGH) method for solving stiff ordinary differential equations belongs to the group of backward difference formulas methods. Basic details of the BGH method are presented. A new implementation with original modifications is described. Special attention is paid to the reduction of operation count and improvement of error control. Two examples including mildly stiff and stiff equation systems prove spectacular superiority of the BGH method with respect to the classic Gear method. The software presented in this paper is scalable and has been ported without any problems from the PC/DOS platform to two UNIX environments.
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