P. Linz
Abstract
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This paper contains a study of numerical methods for solving linear Volterra integral equations of the first kind. A number of convergent approximation schemes are given, but it is found that certain other ‘obvious’ approaches yield unstable algorithms. Means for improving the results of the convergent methods are discussed.
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This paper contains a study of numerical methods for solving linear Volterra integral equations of the first kind. A number of convergent approximation schemes are given, but it is found that certain other ‘obvious’ approaches yield unstable algorithms. Means for improving the results of the convergent methods are discussed.
Key concepts: Volterra integral equation, Integral equation, Volterra equations, Mathematics, Applied mathematics, Numerical analysis, Computer science, Mathematical optimization