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This volume is a collection of original articles published by the Astrophysics and Space Science Journal. These are the result of the work initiated in 2002 with the aim to - tensively test, compare and optimize the numerical tools used to calculate stellar models and their oscillation frequencies. This effort took place under the activities of the "CoRoT Evolution and Seismic Tools Activity" (CoRoT/ESTA-of the Seismology Working Group of the CoRoT Mission . It has been organized through the participation of the European Space Agency (ESA) in this Fren- led mission, following the appointment by ESA of a Co-Investigator on Stellar Models for the CoRoT Team. The volume includes (i) articles describing most of the evolution and seismic codes currently used in the context of Helio- and Astero-Seismology, (ii) articles reporting the results of the detailed comparisons of the codes carried out over the period 2002-2007 and (iii) works discussing grids of stellar evolutionary tracks, models, and frequencies, produced for supporting the CoRoT mission. The rst paper of the collection discusses the overall aim and methodology of the work while the last paper discusses some of the open questions that still require further work in the future.

Evolution and Seismic Tools for Stellar Astrophysics

The CoRoT evolution and seismic tools activity.- ASTEC-the Aarhus STellar Evolution Code.- The FRANEC stellar evolutionary code.- YREC: the Yale rotating stellar evolution code.- The Geneva stellar evolution code.- The Toulouse-Geneva Evolution Code (TGEC).- CESAM: a free code for stellar evolution calculations.- The STAROX stellar evolution code.- CLÉS, Code Liégeois d'Évolution Stellaire.- The ATON 3.1 stellar evolutionary code.- GARSTEC-the Garching Stellar Evolution Code.- PULSE: a finite element code for solving adiabatic nonradial pulsation equations.- ADIPLS-the Aarhus adiabatic oscillation package.- Porto Oscillation Code (posc).- Granada oscillation code (GraCo).- NOSC: Nice OScillations Code.- The OSCROX stellar oscillaton code.- The Liege Oscillation code.- filou oscillation code.- LNAWENR-linear nonadiabatic nonradial waves.- Reference grids of stellar models and oscillation frequencies.- Grids of stellar evolution models for asteroseismology (cesam + posc).- Grids of stellar models and frequencies with CLÉS + LOSC.- CoRoT/ESTA-TASK 1 and TASK 3 comparison of the internal structure and seismic properties of representative stellar models.- FRANEC versus CESAM predictions for selected CoRoT ESTA task 1 models.- Thorough analysis of input physics in CESAM and CLÉS codes.- Inter-comparison of the g-, f- and p-modes calculated using different oscillation codes for a given stellar model.- Concluding remarks and perspectives on the evolution and seismic tools activity (ESTA) of the CoRoT community.