A new framework for polynomial approximation to differential equations
Numerical Analysis
2022-11-15 v3 Numerical Analysis
Abstract
In this paper we discuss a framework for the polynomial approximation to the solution of initial value problems for differential equations. The framework, initially devised for the approximation of ordinary differential equations, is further extended to cope with constant delay differential equations. Relevant classes of Runge-Kutta methods can be derived within this framework.
Cite
@article{arxiv.2106.01926,
title = {A new framework for polynomial approximation to differential equations},
author = {Luigi Brugnano and Gianluca Frasca-Caccia and Felice Iavernaro and Vincenzo Vespri},
journal= {arXiv preprint arXiv:2106.01926},
year = {2022}
}
Comments
35 pages, 4 figures, 2 tables