๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The development of lagrangians for biological models

โœ Scribed by Gregory H. Paine

Book ID
104272438
Publisher
Springer
Year
1982
Tongue
English
Weight
526 KB
Volume
44
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

โœฆ Synopsis

A modern theory of the calculus of variations is used to form necessary and sufficient conditions for the existence of a Lagrangian representation of a system of first-order ordinary differential equations. There exists a theorem to the effect that when a system of ordinary differential equations is variationally self-adjoint, the fulfillment of such conditions is guaranteed. In addition, self-adjointness allows establishment of an algorithm by which a Lagrangian for the system may be explicitly constructed. Examples in mathematical biology are given to illustrate the use of the stated theorem.

๐Ÿ“œ SIMILAR VOLUMES

Development of lagrangian hydrocode mode
Development of lagrangian hydrocode modelling for debris impact damage prediction
โœ J. Campbell; R. Vignjevic ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 649 KB

Work on improving the Lawrence Livermore DYNA3D code to allow it to accurately model hypervelocity impact is presented. The unmodified version of DYNA3D was tested, results showed that improvements were required in three main areas: material modelling, the element erosion criterion, the ability to m