2003•Journal of Natural Science of Heilongjiang UniversityRequires access

Regularity properties of Runge -Kutta method for differential - algebraic equation

Zheng Baodong

Abstract

The numerical method for differential - algebraic equation is regular if it has the same set of finite asymptotic values as the underlying differential - algebraic system. The conditions that guarantee regular properties of Runge-Kutta method for differential - algebraic equation are considered. It is proved that the Runge -Kutta method for differential - algebraic equation is regular if and only if the fold method is regular for differential - algebraic equation.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mathematics, Differential algebraic geometry, Universal differential equation, Algebraic differential equation, Differential equation, Runge–Kutta methods, Algebraic number, Differential algebraic equation