Results 11 to 20 of about 51,397 (286)
Symbolic iteration method based on computer algebra analysis for Kepler’s equation
Scientific Reports, 2022 The Kepler’s equation of elliptic orbits is one of the most significant fundamental physical equations in Satellite Geodesy. This paper demonstrates symbolic iteration method based on computer algebra analysis (SICAA) to solve the Kepler’s equation.
Ruichen Zhang, Shaofeng Bian, Houpu Li
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Application of computer algebra for the construction of shell models of turbulence [PDF]
E3S Web of Conferences, 2019 The technique for automatic constructing of shell models of turbulence has been developed. The compilation of a model equations and its exactly solution is implemented using computer algebra (symbolic calculation) systems.
Feshchenko Liubov, Vodinchar Gleb
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Cadabra: a field-theory motivated symbolic computer algebra system [PDF]
Computer Physics Communications, 2006 Field theory is an area in physics with a deceptively compact notation. Although general purpose computer algebra systems, built around generic list-based data structures, can be used to represent and manipulate field-theory expressions, this often leads
K. Peeters
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Discrete and Continuous Models and Applied Computational Science, 2023 This work is devoted to the implementation and testing of the Adams method for solving ordinary differential equations in the Sage computer algebra system.
Mikhail D. Malykh, Polina S. Chusovitina
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Automated Symbolic and Numerical Testing of DLMF Formulae Using Computer Algebra Systems [PDF]
International Conference on Intelligent Computer Mathematics, 2018 We have developed an automated procedure for symbolic and numerical testing of formulae extracted from the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions (DLMF).
H. Cohl +2 more
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Symbolic and numerical analysis in general relativity with open source computer algebra systems [PDF]
General Relativity and Gravitation, 2017 We study three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python language (with GraviPy module), which allow tensor manipulation for general relativity calculations along with general ...
T. Birkandan +3 more
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Robots, computer algebra and eight connected components [PDF]
International Symposium on Symbolic and Algebraic Computation, 2020 Answering connectivity queries in semi-algebraic sets is a longstanding and challenging computational issue with applications in robotics, in particular for the analysis of kinematic singularities.
J. Capco, M. S. E. Din, J. Schicho
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SymPy: symbolic computing in Python [PDF]
PeerJ Computer Science, 2017 SymPy is an open source computer algebra system written in pure Python. It is built with a focus on extensibility and ease of use, through both interactive and programmatic applications.
Aaron Meurer +26 more
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New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method.
Fei Long +4 more
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DESIGNING SYMBOLIC VECTOR CALCULUS PACKAGE IN COMPUTER ALGEBRA SYSTEM ENVIRONMENT
Asia-Pacific Journal of Information Technology and Multimedia, 2014 This paper presents a Computer Algebra System (CAS) package, Interactive Learning-Mathematica Enhanced Vector Calculus (ILMEV), specifically designed to assist users in performing the tasks that involves vector calculus.
Yuzita Yaacob +2 more
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