Search Results - Python SymPy libraries

SymPy: symbolic computing in Python by Meurer, Aaron, Smith, Christopher P., Paprocki, Mateusz, Čertík, Ondřej, Kirpichev, Sergey B., Rocklin, Matthew, Kumar, AMiT, Ivanov, Sergiu, Moore, Jason K., Singh, Sartaj, Rathnayake, Thilina, Vig, Sean, Granger, Brian E., Muller, Richard P., Bonazzi, Francesco, Gupta, Harsh, Vats, Shivam, Johansson, Fredrik, Pedregosa, Fabian, Curry, Matthew J., Terrel, Andy R., Roučka, Štěpán, Saboo, Ashutosh, Fernando, Isuru, Kulal, Sumith, Cimrman, Robert, Scopatz, Anthony

“… These characteristics have led SymPy to become a popular symbolic library for the scientific Python ecosystem…”
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Heat and mass transfer conduct in an unsteady two- dimensional stream between parallel sheets by Zar, Pooriya Majidi, Jalili, Payam, Jalili, Bahram, Ganji, Davood Domiri

“…•Python and the Sympy library have been considered.•The HPM and AGM have resulted in top-of-the-line consequences compared to analytical and numerical approaches…”
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To the Calculation of Electric Machines by the Method of Separation of Variables Using Symbolic Calculations by Ivanova, Nadezhda N., Vasileva, Lidia N., Artykaeva, Elmira M.

“…Electromagnetic calculations of electric machines are traditionally performed using numerical methods. However, the approximate nature of the results obtained…”
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Computing the coefficients for the power series solution of the Lane-Emden equation with the Python library SymPy by Rohe, Klaus

“…It is shown how the Python library Sympy can be used to compute symbolically the coefficients of the power series solution of the Lane-Emden equation (LEE…”
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SA-MEAS: Sympy-based automated mathematical equations analysis and solver by Ali, Amjad, Khusro, Shah

“… (Sympy-based Automated Mathematical Equation Analysis and Solver) for mathematical linear and quadratic equations and expressions…”
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Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes by Faghih-Naini, Sara, Kuckuk, Sebastian, Aizinger, Vadym, Zint, Daniel, Grosso, Roberto, Köstler, Harald

“…•Quadrature-free discontinuous Galerkin discretizations have the potential to increase model code performance.•Block-structured grids are a compromise between…”
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Range Space and Similarity Transformation Using Symbolic Mathematics in Python by Wisassakwichai, Chainarong, Phaochoo, Prasert

“… This paper proposes a systematic approach to organizing these theorems using SymPy, a symbolic mathematics library in Python, and develops an innovative Python module that leverages SymPy…”
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A New Method for Solving Three Moment Equation in Well Trajectory Control by Xi, Jiangjun, Li, ZhuangWei, Tao, Lin, Li, Wenlong, Jin, Nan, Wang, Yufeng

“… However, the Python open-source library “sympy” simplifies this process by eliminating the need for complex programming and debugging…”
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PYTHON IN ORDINARY DIFFERENTIAL EQUATIONS LEARNING by Sugiarto, Sigit, Lekitoo, John Nandito, MA, Ratnah Kurniati

“… This research examines the use of the Python programming language with Jupyter Lab software and the SymPy library in solving ordinary differential equation problems symbolically in the Differential Equations course…”
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Python approach for using homotopy perturbation method to investigate heat transfer problems by Jalili, Payam, Jalili, Bahram, Ahmad, Irshad, Hendy, Ahmed S., Ali, Mohamed R., Ganji, Davood Domiri

“… SymPy, a Python library, was also used to implement HPM and solve problems allegorically…”
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Application of He's homotopy and perturbation method to solve heat transfer equations: A python approach by Dumka, Pankaj, Pawar, Parth Singh, Sauda, Abhay, Shukla, Gaurav, Mishra, Dhananjay R.

“…). Moreover, the implementation of HPM has been done by using SymPy, a library in python, to solve problems symbolically…”
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SymPy: Symbolic computing in Python by Meurer, Aaron, Smith, Christopher P, Paprocki, Mateusz, Čertík, Ondřej, Kirpichev, Sergey B, Rocklin, Matthew, Kumar, AMiT, Ivanov, Sergiu, Moore, Jason K, Singh, Sartaj, Rathnayake, Thilina, Vig, Sean, Granger, Brian E, Muller, Richard P, Bonazzi, Francesco, Gupta, Harsh, Vats, Shivam, Johansson, Fredrik, Pedregosa, Fabian, Curry, Matthew J, Terrel, Andy R, Roučka, Štěpán, Saboo, Ashutosh, Isuru Fernando, Kulal, Sumith, Cimrman, Robert, Scopatz, Anthony

“… These characteristics have led SymPy to become the standard symbolic library for the scientific Python ecosystem…”
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TorqTwin—An open-source reference multibody modeling framework for wind turbine structural dynamics by Guo, Feng, Gao, Zhen, Schlipf, David

“… The TorqTwin tool relies on Kane’s method and the symbolic Python library SymPy. The multibody formulation in TorqTwin is validated using the OpenFAST-ElastoDyn module and the commercial software Bladed…”
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SymDR: Symbol Computer Algebra Library for Generation of Classical and Approximate Dispersion Relations for Systems of Partial Differential Equations by Arendarenko, M. S., Dzhanbekova, A. R., Kotov, S. V., Malyutin, M. S., Savvateeva, T. A., Samoylov, M. V., Utyupina, V. Y., Stoyanovskaya, O. P.

“…Mathematical models of numerous processes in continuum mechanics (CM), plasma physics (PP) and astrophysics (AP) are partial differential equations (PDEs)…”
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Application of Python Scientific computing library and Simulation in Circuit Analysis by Zhang, Hong, Yang, Ping, Niu, Yali

“… It also includes a vast collection of Python packages for scientific computing. This ecosystem of scientifically oriented libraries ranges from generic core libraries…”
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Using Consumer Loss Aversion to Investigate the Effect of Stackelberg Pricing for New-Energy Vehicles by Zhang, Shuang, Du, Yueping, Wang, Linxue

“…Compared to the development history of traditional FVs (fossil-fuel vehicles), although NEVs (new-energy vehicles) have many advantages and huge development…”
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Hybrid nanofluid-based targeted drug delivery system for tumor therapy under magnetic and thermal control by Zar, Pooriya Majidi, Zar, Vooria Majidi

“…), all implemented in Python with the aid of its computational capabilities. Notably, the SymPy library is utilized to handle symbolic computations…”
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Pyg4ometry: A Python library for the creation of Monte Carlo radiation transport physical geometries by Walker, S.D., Abramov, A., Nevay, L.J., Shields, W., Boogert, S.T.

“… Pyg4ometry is a Python library that enables users to rapidly create, manipulate, display, debug, read, and write Geometry Description Markup Language (GDML…”
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Software for the numerical solution of first-order partial differential equations by Kuziv, Yaroslav Yu

“…Partial differential equations of the first order, arising in applied problems of optics and optoelectronics, often contain coefficients that are not defined…”
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Thermal study of MHD hybrid nano fluids confined between two parallel sheets: Shape factors analysis by Jalili, Bahram, Zar, Pooriya Majidi, Liu, Dong, Ji, Chen-Hui, Jalili, Payam, Abdelmohimen, Mostafa A.H., Ganji, Davood Domiri

“… In addition, the symbolic solution to HPM and AGM has been attained by employing SymPy and SciPy libraries in Python…”
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