CASC 2005 continued a tradition - started in 1998 - of international c- ferences on the latest advances in the application of computer algebra systems (CASs) and methods to the solution of various problems in scienti?c computing. The methods of scienti?c computing play an important role in research and engineering applications in the natural and the engineering sciences. The sign- icance and impact of computer algebra methods and computer algebra systems for scienti?c computing has increased considerably in recent times. Nowadays, suchgeneral-purposecomputeralgebrasystemsasMaple, Magma, Mathematica, MuPAD, Singular, CoCoA and others enable their users to solve the following three important tasks within a uniform framework: (a) symbolic manipulation; (b) numerical computation; (c) visualization. The ongoing development of such systems, including their integrationand ad- tation to modern software environments, puts them at the forefront in scienti?c computing and enables the practicalsolution of many complex applied problems in the domains of natural sciences and engineering. Greece o?ers excellent infrastructures for hosting international conferences, and this was a reason for us to choose the city of Kalamata, Greece, as the lo- tion for CASC 2005, the eighth conference in the sequenceof CASC conferences. The seven earlier CASC conferences, CASC 1998, CASC 1999, CASC 2000, CASC 2001, CASC 2002, CASC 2003, and CASC 2004 were held, respectively, in St. Petersburg, Russia, in Munich, Germany, in Samarkand, Uzbekistan, in Konstanz, Germany, in the Crimea (Ukraine), in Passau (Germany), and in St. Petersburg, Russia, and they proved to be successf

The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics."