Work

Estimating the error term in the Trapezium Rule using a Runge-Kutta method

Year: 2023

Type: preprint

Abstract: We show how the error term for the Trapezium Rule can be estimated, by solving an initial value problem using a Runge-Kutta method. The error term can then be added to the Trapezium approximation, yielding a much more accurate result. We also show how the risk of singularities in the relevant initial value problem can be mitigated.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2306.06785

Author: Prentice, J. S. C.

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4380558475

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