Positive quadratures for volterra equations
Copyright policy )Positive quadratures for volterra equations
The present paper deals with discretizations to linear Volterra equations which preserve the possible positivity of the Volterra operator. It is shown that the method must be implicit and e.g. that the repeated trapezoidal rule has this property. It is then shown how this property can be used in studying the asymptotic behaviour of the solutionsx n of the discretized equations, asn→∞ with a fixed steph.
- Helsinki University of Technology Finland
- University of Helsinki Finland
Volterra integral equations, Numerical integration, Numerical methods for integral equations, Numerical methods for initial value problems involving ordinary differential equations
Volterra integral equations, Numerical integration, Numerical methods for integral equations, Numerical methods for initial value problems involving ordinary differential equations
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