Symbolic Computing System

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K. Sridharan - One of the best experts on this subject based on the ideXlab platform.

  • Teaching computer graphics and robotics using Symbolic computation software
    Computer Applications in Engineering Education, 2000
    Co-Authors: K. Sridharan
    Abstract:

    An approach to teaching undergraduate courses in computer graphics and robotics is presented. Objects in two and three dimensions of various shapes are involved in the study of graphics and robotics. The representation and manipulation of these objects constitute important topics of discussion in these courses. Students will evince keen interest in learning the material if instructors supplement classroom lectures with demonstrations and homework assignments using a Symbolic Computing program for solving problems. In this article, it is shown how Maple can be used for solving a wide range of problems arising in robotics and graphics, each with different requirements in terms of the software tools required. Fast prototype development, concept illustration, and graphical solution verification are facilitated by the use of a Symbolic Computing System such as Maple, and these cannot be accomplished with the same ease using traditional programming languages such as C or FORTRAN. © 2000 John Wiley & Sons, Inc. Comput Appl Eng Educ 8: 18–30, 2000

A.b. Ogunye - One of the best experts on this subject based on the ideXlab platform.

  • Polynomial matrix analysis using Symbolic computation
    Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998
    Co-Authors: A.b. Ogunye
    Abstract:

    The polynomial matrix approach of Soderstrom et al. (1996), for the computation of the covariance function of a multivariate ARMA process, is implemented in a Symbolic Computing System (MapleV). Procedures were developed to solve the discrete-time symmetric matrix Diophantine equation and to compute the covariance function of a multivariate ARMA process. This algebraic implementation would have been extremely difficult to carry out in a strict numeric Computing environment. The use of MapleV has provided Symbolic results quickly and efficiently, with a tremendous gain in time and with minimal effort.

  • Solution of unilateral and bilateral Diophantine equations using Symbolic computation
    Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404), 1
    Co-Authors: A.b. Ogunye
    Abstract:

    The polynomial equation approach of Kucera (1979), for the solution of unilateral and bilateral Diophantine equations, is implemented in a Symbolic Computing System (MapleV) in this paper. Procedures were developed to solve unilateral and bilateral Diophantine equations. This algebraic implementation would have been extremely difficult to carry out in a strict numeric Computing environment. The use of MapleV has provided Symbolic results quickly and efficiently, with a tremendous gain in time and with minimal effort.

Zhian Zhang - One of the best experts on this subject based on the ideXlab platform.

  • ICMS - An Online Computing and Knowledge Platform for Differential Equations
    Mathematical Software – ICMS 2016, 2016
    Co-Authors: Yin-ping Liu, Ruo-xia Yao, Le Yang, Zhian Zhang
    Abstract:

    A Web-based knowledge database and Computing platform for nonlinear differential equations is presented, which could provide Computing and graphing based on Symbolic Computing System Maple and some of its built-in packages. Users can not only calculate specific types of analytical solutions of nonlinear differential Systems by calling the packages, but also carry out any Symbolic computations associated with equations and other kinds of simple computations in an interactive mode with visual output. The knowledge database of differential equations has all functions of the general database. Furthermore, each equation has a web page to show its properties and research results. In addition, each mathematica formula is stored in its infix form in the knowledge database and can be displayed visually.

Greg J. Fee - One of the best experts on this subject based on the ideXlab platform.

  • Isogroups of differential equations using algebraic Computing
    Journal of Symbolic Computation, 1992
    Co-Authors: John Carminati, J. S. Devitt, Greg J. Fee
    Abstract:

    We describe the Liesymm package, implemented in the Symbolic Computing System MAPLE, for obtaining the determining equations of the isogroup of a System of partial differential equations. Liesymm fully automates the Harrison-Estabrook procedure which uses Cartan's formulation in terms of differential forms. It also includes a number of routines which assist the user in integrating the determining equations. Liesymm has been implemented in such a way as to provide the user with a number of useful interactive tools for working with differential forms. In addition, it can also generate a “suitable” initial set of differential forms directly from the given partial differential equations and as such can be used at a level that obviates any need for familiarity with forms.

Yin-ping Liu - One of the best experts on this subject based on the ideXlab platform.

  • ICMS - An Online Computing and Knowledge Platform for Differential Equations
    Mathematical Software – ICMS 2016, 2016
    Co-Authors: Yin-ping Liu, Ruo-xia Yao, Le Yang, Zhian Zhang
    Abstract:

    A Web-based knowledge database and Computing platform for nonlinear differential equations is presented, which could provide Computing and graphing based on Symbolic Computing System Maple and some of its built-in packages. Users can not only calculate specific types of analytical solutions of nonlinear differential Systems by calling the packages, but also carry out any Symbolic computations associated with equations and other kinds of simple computations in an interactive mode with visual output. The knowledge database of differential equations has all functions of the general database. Furthermore, each equation has a web page to show its properties and research results. In addition, each mathematica formula is stored in its infix form in the knowledge database and can be displayed visually.