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\title{Computer Algebraic Approximations -- Creation of Approximated Solutions\\
         of Scientific and Engineering Problems in Symbolic Form
       }

\author{Victor F. Edneral\\ 
\em Institute for Nuclear Physics of Moscow State University,\\ 
\em Vorobievy Gory, Moscow, 119899, Russia\\
edneral@theory.npi.msu.su
           }

\date{}

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\centerline{\bf Abstract}
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   The report describes a new domain of computer algebra applications -- Computer Algebraic 
Approximations (CAA) which deal with a creation of approximated solutions of scientific and 
engineering problems in symbolic form. These include Approximate Algebraic Computation (AAC), 
approximations at a simplification of the original problem before its treating and also building of 
approximated solutions of the original problem. Methods for treating last two approaches are widely 
discussed for algebraic equations, ODE and PDE separately. A possible connection between accurate 
solutions of an approximated problem and approximate solutions of the exact problem is discussed.

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