Error bounds for the Liouville-Green approximation to initial-value problems
By: by James G. Taylor
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1977
Place of publication: Monterey, Calif
Language: eng
Number of pages: 19
Subjects: Differential equations; Numerical solutions; Initial value problems; Combat; Mathematical models
Description: New error bounds are developed for the Liouville-Green approximation to the solution of an important class of differential equations arising in military operations research (specifically, variable-coefficient Lanchester-type equations of modern warfare for combat between two homogeneous forces). In contrast to many previous results, our error bounds apply to initial-value problems and are expressed in terms of initial conditions. Previous error bounds for boundary-value problems are sharpened as a consequence of our development of these new error bounds for initial-value problems. Finally, applications are made to some important specific models of combat between two homogeneous forces with time-dependent attrition-rate coefficients. (Author)
Notes: Title from cover.

"Prepared for: Office of Naval Research"--Cover.

"June 1977"--Cover.

"NPS-55-77-29"--Cover.

Includes bibliographical references (p. 18-19)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1977.