On approximating hereditary dynamics by systems of ordinary differential equationsThe paper deals with methods of obtaining approximate solutions to linear retarded functional differential equations (hereditary systems). The basic notion is to project the infinite dimensional space of initial functions for the hereditary system onto a finite dimensional subspace. Within this framework, two particular schemes are discussed. The first uses well-known piecewise constant approximations, while the second is a new method based on piecewise linear approximating functions. Numerical results are given.
Document ID
19790056646
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Cliff, E. M. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Burns, J. A. (Virginia Polytechnic Institute and State University Blacksburg, Va., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Subject Category
Numerical Analysis
Meeting Information
Meeting: International Symposium on Simulation Software and Numerical Methods for Differential Equations