论文信息 - Continuous collocation approximations to solutions of first kind Volterra equations

Continuous collocation approximations to solutions of first kind Volterra equations

In this paper we give necessary and sufficient conditions for convergence of continuous collocation approximations of solutions of first kind Volterra integral equations. The results close some longstanding gaps in the theory of polynomial spline collocation methods for such equations. The convergence analysis is based on a Runge-Kutta or ODE approach.

Hermann Brunner | J.-P. Kauthen | H. Brunner | J. Kauthen

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