Computer Algebra

Pavelle, Richard; Rothstein, Michael; Fitch, John

doi:10.1038/scientificamerican1281-136

Cited by 84 publications

(17 citation statements)

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“…13). Today, a computational aerodynamicist manipulates algebraic symbols leading to the development of a computer program, whereas a computer is confined to arithmetic calculations or data processing (number crunching).…”

Section: Artificial Intelligencementioning

confidence: 99%

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Computational aerodynamics and artificial intelligence

Kutler

Mehta

1984

17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference

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Section: Artificial Intelligencementioning

confidence: 99%

“…For example, in 1847 Charles Delauney began algebraic computation of the position of the Moon as a function of time (ref. 13). It took him 20 years to complete this calculation.…”

Section: Building Expert Systemsmentioning

confidence: 99%

Computational aerodynamics and artificial intelligence

Kutler

Mehta

1984

17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference

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“…Typical operations, which arise in the manipulation of the mass, energy and momentum conservation equations characteristic of thermalhydraulic work, are: (1) switching reference frames (Euler to Lagrange and back); (2) switching from surface to volume integrals and back;…”

Section: Introductionmentioning

confidence: 99%

Computer analytics for thermalhydraulics

Garland

Moll

1986

Engineering Computations

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If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation. ABSTRACTThe development of an interactive software tool, EQNWRITE, to help in the setup and manipulation of engineering mass, momentum and energy equations, is discussed. This software is a building tool for building mathematical models of process systems. For a given problem, EQNWRITE enables the user to interactively derive and simplify the governing equations in the desired reference frame and coordinate system. At the user's request, specified mathematical transformations are performed automatically and resulting equations are displayed. EQNWRITE allows the user to better perceive the physical significance of each term in the symbolic mathematical equations, which describe the dominant properties of a system, as they are being derived and simplified, while leaving the detailed mathematical transformations to the computer. EQNWRITE was programmed in the symbol manipulation language, MUSIMP and developed using some of the capabilities of the microcomputer based computer algebra system, MUMATH. Major programming features and capabilities of MUSIMP and MUMATH are briefly reviewed, followed by a discussion of the specific automatic transformations implemented in EQNWRITE. Finally, engineering examples are given showing the use of the transformation functions and operators.

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“…The lengthy algebraic manipulations required for the present study were greatly simplified through the use of the MIT Laboratory for Computer Sciences' MACSYMA system (project MAC's SYmbolic MAnipulation system). Algebraic manipulation programs of this type have been described by Pavelle [9].…”

Section: Introductionmentioning

confidence: 99%

Uniformly-valid asymptotic solutions to the Orr-Sommerfeld equation using multiple scales

Long

1987

J Eng Math

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The Orr-Sommerfeld equation is studied using the method of multiple scales. The leading-order uniformlyvalid asymptotic solutions are obtained without recourse to heuristic methods for two different types of velocity profiles. Solutions were obtained for arbitrary velocity profiles without inflection or critical points and for profiles with simultaneous inflection and critical points. These are shown to reproduce previously obtained solutions in the inner and outer regions.

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Computer Algebra

Cited by 84 publications

References 0 publications

Computational aerodynamics and artificial intelligence

Computational aerodynamics and artificial intelligence

Computer analytics for thermalhydraulics

Uniformly-valid asymptotic solutions to the Orr-Sommerfeld equation using multiple scales

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