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07/23/2023
Error propagation in an explicit and an implicit numerical method for Volterra integro-differential equations
We study error propagation in both an explicit and an implicit method fo...
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06/21/2023
Stability analysis of an implicit and explicit numerical method for Volterra integro-differential equations with kernel K(x,y(t),t)
We present implicit and explicit versions of a numerical algorithm for s...
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06/11/2023
Estimating the error term in the Trapezium Rule using a Runge-Kutta method
We show how the error term for the Trapezium Rule can be estimated, by s...
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06/05/2023
An Euler-type method for Volterra integro-differential equations
We describe an algorithm, based on Euler's method, for solving Volterra ...
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05/12/2023
Evaluating a double integral using Euler's method and Richardson extrapolation
We transform a double integral into a second-order initial value problem...
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03/16/2023
Stepwise global error control in Euler's method using the DP853 triple and the Taylor remainder term
We report on a novel algorithm for controlling global error in a step-by...
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03/08/2023
Determining the Rolle function in Hermite interpolatory approximation by solving an appropriate differential equation
We determine the pointwise error in Hermite interpolation by numerically...
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03/06/2023
Efficiency of the Multisection Method
We study the efficiency of the multisection method for univariate nonlin...
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02/18/2023