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A numerical solution of one class of volterra integral equations of the first kind in terms of the machine arithmetic features

... the function of tracking the valid digits of the significand. The test examples illustrate the typical cases of systematic error accumulation. The second section presents the results obtained from the computational algorithms which are based on the product integration method and the midpoint rule. The results of test calculations are presented to demonstrate the performance of the difference methods. входит

Теги: volterra integral equations of the first kind , numerical solution , product integration method
Раздел: ИСЭМ СО РАН
Numerical solving an inverse boundary value problem of heat conduction using Volterra equations of the first kind

... based on the Laplace transform. This approach allows us to reduce the original problem to solving Volterra equations of the first kind. Algorithms for numerically solving the resulting integral equations are developed. The algorithms are based on the product integration method and quadrature of middle rectangles. A series of test calculations is performed to test the efficiency of the numerical methods нет

Теги: numerical solution , product integration method , volterra integral equations
Раздел: ИСЭМ СО РАН


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