3 papers
math.NA2023
Error propagation in an explicit and an implicit numerical method for Volterra integro-differential equations
J. S. C. Prentice
We study error propagation in both an explicit and an implicit method for solving Volterra integro-differential equations. We determine the relationship between local and global er…
math.NA2023
Estimating the error term in the Trapezium Rule using a Runge-Kutta method
J. S. C. Prentice
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 Trapeziu…
math.NA2023
An Euler-type method for Volterra integro-differential equations
J. S. C. Prentice
We describe an algorithm, based on Euler's method, for solving Volterra integro-differential equations. The algorithm approximates the relevant integral by means of the composite T…