Description of the project: "THE PROPOSED PROJECT IS BASED ON THE RESEARCH LOCALIZED AT THE INTERSECTION OF THREE MAJOR DOMAINS: SYMBOLIC CALCULUS, PARALLEL CALCULUS, AND NUMERICAL CALCULUS. THE PROPOSED PROJECT IS SUPPOSED TO DEFINE PARADIGMS FOR A SCIENTIFIC PROBLEM SOLVING SYSTEM. WE ARE TAKING INTO ACCOUNT: THE STUDY OF THE DEVELOPMENT OF THE INTELLIGENT SYSTEMS (INTELLIGENT FRONT-ENDS) CAPABLE OF: USER ASSISTANCE IN METHOD CHOOSING, EXPLANATION OF THE EMPLOYED REASONING, FAILURE MANAGEMENT ETC; THE STUDY OF SEVERAL ADVANCED ALGORITHMS AND THE PARALLELIZATION TECHNIQUES OF THESE; THE STUDY OF SOME SPECIFIC METHODS."