Introduction

The main purpose of this workshop is to focus the state of art of the numerical methods for evolutionary problems. This is a wide and active field of research and therefore it is related to many other activities in numerical analysis.
In 1999 we have obtained a support from italian M.U.R.S.T. and, for related projects, in the last five years we have also got supports from GNIM (now G.N.C.S.).
In presenting the results of our activity, we have invited a few national and international leading experts in order to set such results in the mainstream of the international activities in the same fields.
Several innovative results have been obtained in the following areas:

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Numerical methods for ODEs (both IVPs and BVPs);

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Numerical methods for Delay ODEs;

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Preconditioning of matrices;

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Numerical methods for Volterra equations;

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Numerical codes;

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Numerical methods for Stocastic Volterra integral equations and ODEs;

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Numerical Linear Algebra;

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ABS and Quasi-Newton methods;

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Numerical methods for nonlinear programming.

We are glad to thank all the collaborators who have contributed to this project and, particularly, the experts B. Aulbach, A. Bellen, J. Cash, F. Chatelin, R. Chan, J. Gondzio, D. Marini, G. Mastroianni, E. Spedicato, P. van der Houwen, S. Vandewalle who, we are sure, will make successful this meeting.