Abstract

Just as computers revolutionized numerical analysis, so symbolic mathematics software is revolutionizing symbolic mathematics computations, yielding major increases in speed accuracy and modeling power in many applications. In addition to automating large and tedious computations, MACSYMA provides automated mathematical expertise in many areas, such as solution of simultaneous equations, integration, Laplace transforms, ordinary differential equations, and simplifications of expressions. The presentations will focus on selected capabilities of MACSYMA that are relevant for acoustics, especially: (1) symbolic vector and tensor calculus, (2) symbolic solution of ordinary differential equations, (3) symbolic approximation methods, (4) use of symbolic math software to generate numerical analysis code, (5) symbolic matrix computations. A partial bibliography of research papers in fluid mechanics reporting on work where MACSYMA was used will also be provided. Also discussed will be the role of symbolic mathemat...

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